1140:
1319:
had access to other works of Oppian that are now lost, that Oppian was writing a century after the Gospel of John and at least came close, and that perhaps (despite his having mentioned Oppian by name) Jerome's reference to multiple writers actually meant other writers entirely. Grant himself opined that "there is every reason to suppose" that in fact Jerome had not actually checked Oppian's writing directly for this information, but was rather recounting secondhand some earlier
Christian commentary on the Gospel of John.
592:
1503:
1878:
312:
1135:{\displaystyle {\begin{aligned}8^{3}+4^{3}&=&512+64&=&576\\5^{3}+7^{3}+6^{3}&=&125+343+216&=&684\\6^{3}+8^{3}+4^{3}&=&216+512+64&=&792\\7^{3}+9^{3}+2^{3}&=&343+729+8&=&1080\\1^{3}+0^{3}+8^{3}+0^{3}&=&1+0+512+0&=&513\\5^{3}+1^{3}+3^{3}&=&125+1+27&=&153\\1^{3}+5^{3}+3^{3}&=&1+125+27&=&153\end{aligned}}}
1192:
1363:
that "The idea that ancient literature consists of riddles which it is the business of modern literature to solve has passed for ever away", pointing out the irony of a
Gnostic-like search for meaning in the tale when John himself was simply being quite literal. Godet, likewise, asserted that it was
1318:
the century before Grant. From a strictly biological point of view, moreover, only 24 species of fish had been recorded in the Sea of
Galilee by the turn of the 20th century. Theologians have continued to support Jerome's hypothesis despite Grant and Strauss, arguing variously that Jerome may have
1375:
of argument about the number, that whilst there are arguments in favour of symbolic interpretations "Nevertheless, the text gives no basis for interpreting the number." Professor of New
Testament Studies Timothy James Wiarda stated that "It is sufficient to note that the text offers the reader no
1417:
her epithet "η Μαγδαληνή" bears the number 8 + 40 + 1 + 3 + 4 + 1 + 30 + 8 + 50 + 8 = 153, thus, it is suggested, revealing her importance. Similarly, the phrase "τὸ δίκτυον" (the net) used in the
1351:
that "one wonders whether John could have expected any members of his original audience to catch"; summarizing that gematrial explanations that many scholars have put forward are too complex to be discovered without starting from the answer desired and working backwards from there, and that the
1346:
explanation, to which 8 others have been added since. Professor of the New
Testament, Craig S. Keener observed in 2010 the several gematrial explanations, critiquing ideas such as reversing the order of the Greek alphabet as being "forced", noting that a "children of God" reading of the number
1261:
discusses this and other interpretations and concludes that "if the
Evangelist has some symbolism in mind connected with the number 153, he has hidden it well", while other scholars note that "no symbolic significance for the number of 153 fish in John 21:11 has received widespread support."
1399:
Culpepper's three other classes (aside from Jerome, literalism, gematria, and
Augustine) are algebraic interpretations based on 153 itself, algebraic interpretations based on the number 17, and the hypothesis that the symbolic meaning of the number exists but is no longer discoverable.
1789:
In the 39th
Brigade Combat Team, Arkansas Army National Guard, the two maneuver battalions are of the 153d Infantry Regiment, 1BN 153IN units located in the southwestern part of Arkansas, 2BN 153IN located in the north central region of Arkansas.
1392:, or otherwise), concludes that the straightforward explanation is the more likely one and that "the number could simply stem from an accurate memory of a careful count on the occasion", quoting Archibald Macbride Hunter in his 1965
1376:
hint concerning any symbolism in the miraculous catch of fish.". Keener, having discounted gematria, Jerome (per Grant and
Strauss), and Augustine (with a simple analysis of how probable it is to pick numbers that have at least
2589:
For example, ἰχθύς (fish) has isopsephy values of 1219, 1069, 1289, 1029, 1224, 1220, 1869, 1229, and 1279 with the different noun endings on p. 124 of Wenham, and a further range of possibilities when the definite article is
1288:(or only 152 "by adding 3 worms", in Grant's words). What Oppian actually said, moreover, was that only the gods knew the number; and other ancient authors gave different numbers that still were not 153, such as
1406:
writes that the "multitude of fishes mystically represents the multitude of the faithful which Peter and the
Apostles afterwards caught by the net of evangelical preaching, and converted to Christ".
597:
533:, and it is also the smallest three-digit number which can be expressed as the sum of cubes of its digits. Only five other numbers can be expressed as the sum of the cubes of their digits:
377:
1268:
reached much the same conclusion as Augustine that the figure is an allegorical representation of totality, but through more straightforward means rather than through numerology. In his
527:
1355:
However, there have been more prosaic and literal explanations, including the simple straightforward one that the detail is simply correct, and 153 is the number of fish caught.
451:
2120:
2082:
2685:
1988:
1257:). Many theologians have lent credence to Augustine's numerology simply because it comes from historic rather than contemporary theology. Theologian
2661:, "its fruitfulness as shown in the net that St. Peter by order of Our Lord threw into the sea and which though filled with 153 fish did not break."
1223:
2077:
1296:(9.43) recording only 74, 104, or 144 (depending from how one counts, and whether one includes hard shelled animals) species of fish, and
2062:
1272:
he propounded the hypothesis that 153 was meant to represent the whole universe of fish, citing as proof that contemporary poets, giving
1180:
1758:
1418:
passage bears the number 1224 = 8 × 153, as do some other phrases. The significance of this is unclear, given that
1865:
1145:
341:, referred to this ratio (153/265), as constituting the "measure of the fish", this ratio being an imperfect representation of
1650:
1658:
1570:
2654:
1396:
that it is "no more symbolical than the hundred yards that Peter swam. It is the remembered number of a 'bumper' catch."
2022:
1422:
provides a choice of several noun endings with different isopsephy values. The number 153 has also been related to the
1347:"import a ministry image from Mark 1:17 that John never mentions", and commenting on allegorical suggestions linking to
3075:
2975:
2956:
2892:
2873:
2851:
2829:
2807:
2788:
2769:
2750:
2639:
2564:
2326:
2305:
2284:
2259:
3044:
1834:
1436:
2169:
344:
1712:
2203:
1748:
1695:
1678:
1250:
2072:
1984:
1957:
1809:
2710:
1322:
Many other numerological interpretations have been propounded, from adding numerological representations of
1233:
The number is clearly an intentional detail, given the lack of precision and detail elsewhere in the story.
2994:
2885:
Echoes of a Prophet: The Use of Ezekiel in the Gospel of John and in Literature of the Second Temple Period
2861:
1906:
1813:
1483:
1277:
473:
1744:
1631:
2538:
1575:
1898:
2902:
2600:
1858:
1733:
1687:
1335:
397:
1280:
disproved Jerome's hypothesis by noting that Oppian actually enumerated only 149 (as catalogued by
1446:
referred to the catch of 153 fish, as well as to the mathematical properties of the number (153 =
2698:"FLW Incorporated | Specialists in Physical Measurement, Testing, Calibration & Control"
1729:
1563:
1546:
1338:
characterized them as "strange". There were at least 18 distinct numerological explanations when
337:
463:
The distinct prime factors of 153 add up to 20, and so do the ones of 154, hence the two form a
3068:
1799:
1614:
1281:
218:
2317:
Leland Ryken, Jim Wilhoit, Tremper Longman, Colin Duriez, Douglas Penney, and Daniel G. Reid,
1172:
2839:
2817:
1846:
1533:
1518:
1506:
1356:
1352:
plethora of such explanations all distinct from one another itself indicates their weakness.
1227:
549:
1403:
1803:
2918:
Wiarda, Timothy James (1992). "John 21.1–23: Narrative Unity and Its Implications".
1998:
8:
2016:
1947:
1752:
1538:
1526:
1327:
530:
460:, and a truncated triangle number, meaning that 1, 15, and 153 are all triangle numbers.
2604:
3022:
3014:
2935:
2697:
1773:
1640:
1583:
1467:
1234:
1191:
559:
Another feature of the number 153 is that it is the limit of the following algorithm:
9257:
3061:
3026:
2971:
2952:
2939:
2888:
2869:
2847:
2825:
2803:
2802:. Wissenschaftliche Untersuchungen zum Neuen Testament. Vol. 465. Mohr Siebeck.
2784:
2765:
2746:
2635:
2560:
2322:
2301:
2280:
2255:
1943:
1842:
1737:
1725:
1471:
1463:
1443:
1381:
1368:
1331:
1242:
383:
316:
3006:
2927:
2906:
2738:
2101:
2067:
2049:
1963:
1933:
1828:
1779:
1431:
1323:
1276:
as an example, believed that there were 153 species of fish in the world. However,
1254:
457:
143:
1183:
after Jesus, contains 153 proverbial expressions, 71 in Arabic and 82 in Persian.
3048:
2970:. Cambridge Bible Commentaries on the New Testament. Cambridge University Press.
2672:
2658:
1902:
1894:
1881:
1785:("Seagull") was a late 1930s biplane fighter which saw combat during World War II
1289:
1237:
argued that the significance lay in the fact that 153 is the sum of the first 17
553:
542:
464:
153:
102:
89:
1948:
International Statistical Classification of Diseases and Related Health Problems
1176:
2931:
2800:
Designs for the Church in the Gospel of John: Collected Essays, 1980–2020
2651:
1410:
1297:
1215:
1156:
292:
195:
185:
3010:
2911:
Commentary on the Gospel of John, with an Historical and Critical Introduction
2721:
2557:
Magdalene's Lost Legacy: Symbolic Numbers and the Sacred Union in Christianity
9251:
9232:
9146:
9141:
9136:
9131:
9126:
9121:
9116:
9111:
9106:
9095:
2005:
1459:
1423:
1385:
1311:
1219:
1149:
534:
328:
205:
165:
135:
9075:
9070:
9065:
9060:
9055:
9050:
9045:
9040:
9035:
9030:
9017:
9012:
9007:
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8987:
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8299:
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8264:
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8231:
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8211:
8206:
8201:
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8173:
8168:
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8130:
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8120:
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8110:
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8095:
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8032:
8027:
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8004:
7999:
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7979:
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7969:
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7900:
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7866:
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7836:
7823:
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7813:
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7765:
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7725:
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7707:
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7692:
7687:
7682:
7677:
7672:
7667:
7662:
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7639:
7634:
7629:
7624:
7619:
7614:
7609:
7604:
7591:
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7556:
7551:
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7533:
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7372:
7359:
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7339:
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7329:
7324:
7319:
7314:
7303:
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7269:
7264:
7259:
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7221:
7216:
7211:
7206:
7201:
7196:
7191:
7186:
7181:
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7158:
7153:
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7133:
7128:
7123:
7110:
7105:
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7095:
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6994:
6989:
6984:
6979:
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6805:
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6757:
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6706:
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6677:
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6662:
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6609:
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6324:
6319:
6314:
6309:
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6299:
6294:
6281:
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6271:
6266:
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5722:
5717:
5712:
5707:
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5697:
5684:
5679:
5674:
5669:
5664:
5659:
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5626:
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5435:
5430:
5425:
5420:
5415:
5410:
5405:
5400:
5395:
5390:
5377:
5372:
5367:
5362:
5357:
5352:
5347:
5342:
5337:
5332:
5319:
5314:
5309:
5304:
5299:
5294:
5289:
5284:
5279:
5274:
5261:
5256:
5251:
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5241:
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5231:
5226:
5221:
5216:
5203:
5198:
5193:
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5140:
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5019:
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4813:
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4770:
4765:
4760:
4755:
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4722:
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4712:
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4392:
4387:
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4369:
4364:
4359:
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4339:
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4318:
4299:
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4120:
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4110:
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4095:
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4080:
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4057:
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4027:
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4009:
4004:
3999:
3994:
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3984:
3979:
3974:
3969:
3964:
3951:
3946:
3941:
3936:
3931:
3926:
3921:
3916:
3911:
3906:
3893:
3888:
3883:
3878:
3873:
3868:
3863:
3858:
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3848:
3835:
3830:
3825:
3820:
3815:
3810:
3805:
3800:
3795:
3790:
3777:
3772:
3767:
3762:
3757:
3752:
3747:
3742:
3737:
2135:
1994:
1953:
1861:
1606:
1553:
1447:
1440:. However, examination of that work shows this to be only partly correct.
1389:
1339:
1258:
1246:
1168:
300:
296:
132:
129:
126:
123:
120:
117:
114:
111:
108:
81:
78:
75:
72:
69:
66:
63:
57:
54:
51:
48:
36:
28:
9227:
3702:
3697:
3692:
3687:
3682:
3677:
3672:
3667:
3662:
3657:
3644:
3639:
3634:
3629:
3624:
3619:
3614:
3609:
3604:
3599:
3586:
3581:
3576:
3571:
3566:
3561:
3556:
3551:
3546:
3541:
3528:
3523:
3518:
3513:
3508:
3503:
3498:
3493:
3488:
3483:
3470:
3465:
3460:
3455:
3450:
3445:
3440:
3435:
3430:
3425:
3412:
3407:
3402:
3397:
3392:
3387:
3382:
3377:
3372:
3367:
3354:
3349:
3344:
3339:
3334:
3329:
3324:
3319:
3314:
3309:
3296:
3291:
3286:
3281:
3276:
3271:
3266:
3261:
3256:
3251:
3238:
3233:
3228:
3223:
3218:
3213:
3208:
3203:
3198:
2632:
Desert Christians: An Introduction to the Literature of Early Monasticism
1670:
1623:
1592:
1587:
1455:
1451:
1419:
1360:
1305:
1207:
584:
387:
270:
3041:
2300:(Pillar Commentaries Series), Wm. B. Eerdmans Publishing, 1991, p. 673,
319:. The colours show that 153 is also the sum of the first five positive
9222:
3018:
2844:
A critical and exegetical commentary on the Gospel According to St John
2822:
A critical and exegetical commentary on the Gospel According to St John
2012:
1937:
1769:
1491:
1427:
1326:'s name to the Greek word for fish through the additions (100+50+7) of
538:
332:
257:
2887:. The Library of New Testament Studies. Vol. 270. A&C Black.
2032:
1502:
9217:
2026:
1978:
1974:
1718:
1664:
1479:
1414:
391:
320:
1367:
R. Alan Culpepper (who was dean of the McAfee School of Theology at
1342:
performed "a quick survey" in 1958. Emerton proceeded to then add a
2472:
2039:
1970:
1890:
1821:
1765:
1762:
1704:
1343:
1301:
327:
The number 153 is associated with the geometric shape known as the
2762:
The Collegeville Bible Commentary: Based on the New American Bible
1877:
1494:
to teach 153 poor men's children, also in reference to the catch.
9212:
3084:
2559:, Inner Traditions / Bear & Company, 2003, pages 49 and 139,
1238:
564:
311:
175:
94:
2273:
The works of Saint Augustine: A Translation for the 21st Century
1647:
was a United States Navy naval fighting ship during World War II
9199:
9194:
9189:
9184:
9179:
9174:
9169:
9164:
9159:
2252:
Praise Seeking Understanding: Reading the Psalms with Augustine
2234:
2232:
2230:
2228:
2226:
1817:
1487:
1475:
1273:
1265:
1199:
231:
2760:
Flanagan, Neal M. (1992). "John". In Karris, Robert J. (ed.).
2783:. Wiley Blackwell Bible Commentaries. John Wiley & Sons.
2450:
2448:
2390:
2388:
2386:
1838:
1348:
1203:
244:
2743:
Jesus the Miracle Worker: A Historical and Theological Study
2223:
3053:
2997:(1949). "One Hundred Fifty-Three Large Fish (John 21:11)".
2484:
2423:
2421:
2419:
2417:
2415:
2339:
2337:
2335:
2192:
2181:
2155:
1314:
had in fact pointed out the same thing about Oppian in his
2496:
2445:
2433:
2383:
2213:
2211:
1308:
counted the number of species differently." stated Grant.
3732:
3721:
2121:
The Penguin Dictionary of Curious and Interesting Numbers
1926:
390:
integers, and is also the sum of the first five positive
2412:
2373:
2371:
2332:
3193:
3109:
2966:
Hunter, Archibald Macbride (1965). Hunter, Alan (ed.).
2208:
2400:
2358:
2356:
2354:
2352:
1304:
enumerating "countless kinds of fish". "Every ancient
3179:
3172:
3165:
3158:
3151:
3144:
3137:
3130:
3123:
3116:
3097:
3042:
The Number 153 at The Database of Number Correlations
2947:
Keener, Craig S. (2010). "Epilogue (21:2–25)".
2520:
2460:
2368:
595:
568:
476:
400:
347:
105:
1478:, connects the catch of 153 fish with the number of
2539:
The Great Biblical Commentary of Cornelius à Lapide
2349:
1371:) observed, in his 2021 overview of seven distinct
1148:that are generated from four different fundamental
2508:
1470:) when describing his 153-chapter work on prayer.
1430:used 153 as a "shorthand or abbreviation" for the
1134:
521:
445:
371:
1989:State Heraldic Register of the Russian Federation
9249:
2634:, Oxford University Press, 2004, pp. 320–341,
2170:Catch of the Day (153 Fishes) at mathpages.com
2078:United Nations Security Council Resolution 153
3069:
2083:United States Supreme Court cases, Volume 153
1330:to the multiplications (17×3×3) of
2254:, Wm. B. Eerdmans Publishing, 2007, p. 130,
2031:Number of possible type combinations in the
2008:of an element temporarily called Unpenttrium
372:{\displaystyle 1/{\sqrt {3}}\approx 0.57735}
2901:
2551:
2549:
2547:
2502:
2394:
2271:John E. Rotelle (ed) and Edmund Hill (tr),
2165:
2163:
2063:Article 153 of the Constitution of Malaysia
1245:), with 17 representing the combination of
1226:as the third appearance of Jesus after his
3076:
3062:
2920:Journal for the Study of the New Testament
2321:(Fish), InterVarsity Press, 1998, p. 290,
1993:The number of combined Arabic and Persian
1759:153rd Illinois Volunteer Infantry Regiment
2797:
2741:(1999). "Miracles in the Fourth Gospel".
2737:
2427:
2343:
2238:
1868:season goal kicking record of 153 in 1990
1603:-class concrete barge during World War II
573:Split that number into its base 10 digits
2838:
2816:
2759:
2544:
2490:
2478:
2217:
2160:
1876:
1501:
1190:
310:
2882:
2778:
2609:, Cambridge University Press, pp.
2454:
2439:
2406:
2124:London: Penguin Group. (1987): 140–141.
1364:just "a simple fact recalled to mind".
9250:
2965:
2946:
2917:
2526:
2514:
2466:
2377:
1162:
9092:
8495:
7898:
7301:
6704:
6107:
5510:
4913:
4316:
3719:
3095:
3057:
2993:
2860:
2599:
2362:
2068:Gregg v. Georgia, 428 U.S. 153 (1976)
1952:The code for "mental processes &
583:An example, starting with the number
522:{\displaystyle 153=1^{3}+5^{3}+3^{3}}
2112:
2048:153 is the telephonic number of the
1793:
1571:Japanese Maritime Self-Defense Force
1552:of the Royal Australian Navy during
1474:, in his fifth method of saying the
2842:(1928). "Notes on the Greek text".
2580:, Cambridge University Press, 1965.
2578:The Elements of New Testament Greek
2023:Bureau of Transportation Statistics
1831:car, produced between 1913 and 1925
1482:said (3 plus 15 sets of 10), while
1380:special property, be that they are
13:
2986:
2673:Modern London; or, London as it is
2277:Sermons: On the Liturgical Seasons
1913:
1872:
1497:
1409:Writers claiming a major role for
1206:and the 7 fishing disciples (with
14:
9269:
3035:
2686:Table of transmission frequencies
2133:
541:, 370, 371 and 407. It is also a
306:
2913:. New York: Funk & Wagnalls.
1437:On the Measurement of the Circle
1222:) includes the narrative of the
556:with 153 edges, all equivalent.
2846:. Vol. 2. Edinburgh: ICC.
2824:. Vol. 1. Edinburgh: ICC.
2730:
2715:
2704:
2690:
2679:
2664:
2645:
2624:
2593:
2583:
2570:
2532:
2311:
2290:
2265:
2244:
1944:malignant neoplasm of the colon
1186:
1179:believe is the third Abrahamic
2319:Dictionary of Biblical Imagery
2197:
2186:
2175:
2149:
2127:
2094:
1936:that corresponds to 769 – 770
1749:Mississippi Air National Guard
1251:seven gifts of the Holy Spirit
446:{\displaystyle 1!+2!+3!+4!+5!}
386:, 153 is the sum of the first
1:
2883:Manning, Gary T. Jr. (2004).
2088:
2073:List of highways numbered 153
1985:coat of arms of Komi Republic
1810:Caledonian Airways Flight 153
3083:
2968:The Gospel According to John
2866:Early Christians and Animals
2298:The Gospel According to John
1958:Dewey Decimal Classification
1852:
1814:Douala International Airport
1394:Cambridge Bible Commentaries
1224:miraculous catch of 153 fish
7:
2864:(2002). "Unusual animals".
2798:Culpepper, R. Alan (2021).
2481:, pp. lxxxvi–lxxxviii.
2136:"Curious Properties of 153"
2056:
1859:Australian rules footballer
1745:153d Air Refueling Squadron
1196:Appearance on Lake Tiberias
1155:The sum of the first eight
576:Take the sum of their cubes
315:The number 153 is the 17th
10:
9274:
2999:Harvard Theological Review
2932:10.1177/0142064X9201404604
2781:John Through the Centuries
2050:Brazilian Municipal Guards
1983:The ordinal number of the
1824:, crashed on March 4, 1962
1586:auxiliary ship during the
1152:in six-dimensional space.
579:Go back to the second step
9208:
9155:
9102:
9093:
9088:
9026:
8968:
8910:
8852:
8794:
8736:
8678:
8620:
8562:
8504:
8491:
8429:
8371:
8313:
8255:
8197:
8139:
8081:
8023:
7965:
7907:
7894:
7832:
7774:
7716:
7658:
7600:
7542:
7484:
7426:
7368:
7310:
7297:
7235:
7177:
7119:
7061:
7003:
6945:
6887:
6829:
6771:
6713:
6700:
6638:
6580:
6522:
6464:
6406:
6348:
6290:
6232:
6174:
6116:
6103:
6041:
5983:
5925:
5867:
5809:
5751:
5693:
5635:
5577:
5519:
5506:
5444:
5386:
5328:
5270:
5212:
5154:
5096:
5038:
4980:
4922:
4909:
4847:
4789:
4731:
4673:
4615:
4557:
4499:
4441:
4383:
4325:
4312:
4250:
4192:
4134:
4076:
4018:
3960:
3902:
3844:
3786:
3728:
3715:
3653:
3595:
3537:
3479:
3421:
3363:
3305:
3247:
3189:
3104:
3091:
3011:10.1017/S0017816000024329
2657:December 9, 2009, at the
2204:Biblegateway John 21:1–14
2042:outlined by Chr. Pack in
1734:Cheyenne Regional Airport
1711:was a United States Navy
1694:was a United States Navy
1677:was a United States Navy
1657:was a United States Navy
1630:was a United States Navy
1613:was a United States Navy
1599:was a United States Navy
1413:have noted that in Greek
456:The number 153 is also a
269:
256:
243:
230:
217:
204:
194:
184:
174:
164:
160:(one hundred fifty-third)
152:
142:
46:
23:
8496:
7899:
7302:
6705:
6108:
5511:
4914:
4317:
3720:
2820:(1928). "Introduction".
2711:World-airport-coedes.com
1962:A reference to a comet (
1667:ship during World War II
1653:General R. M. Blatchford
1202:, 14th century, showing
289:one hundred fifty-three
3047:March 20, 2014, at the
2606:The Works of Archimedes
2503:Godet & Dwight 1893
2395:Godet & Dwight 1893
1969:A reference to a large
1932:The year 153 AH in the
1730:United States Air Force
1699:-class destroyer escort
1682:-class attack transport
1490:was founded in 1512 by
563:Take a random positive
338:Measurement of a Circle
148:one hundred fifty-three
3096:
2779:Edwards, Mark (2008).
2745:. InterVarsity Press.
2722:153 Chymical Aphorisms
2134:Gupta, Shayam Sunder.
2044:153 Chymical Aphorisms
2025:' world area code for
1885:
1884:'s radio masts in 2004
1800:British Rail Class 153
1514:
1426:, with the claim that
1284:) fish species in his
1282:Alexander William Mair
1241:(i.e. 153 is the 17th
1211:
1136:
545:, since 153 = 3 × 51.
523:
447:
373:
324:
2903:Godet, Frédéric Louis
2102:"Measure of the Fish"
1973:with a dark surface (
1889:The frequency of the
1880:
1847:Orland Park, Illinois
1534:Royal Australian Navy
1505:
1270:Commentary on Ezekiel
1194:
1137:
524:
448:
374:
314:
2764:. Liturgical Press.
2739:Twelftree, Graham H.
2601:Heath, Thomas Little
2275:, Part 3, Volume 7 (
1966:) discovered in 2002
1804:diesel multiple unit
1660:General G. O. Squier
1336:Frédéric Louis Godet
1181:Manifestation of God
593:
474:
398:
345:
180:1, 3, 9, 17, 51, 153
2840:Bernard, John Henry
2818:Bernard, John Henry
2555:Margaret Starbird,
2493:, pp. 699–700.
2457:, pp. 189–190.
2442:, pp. 204–205.
2241:, pp. 218–219.
2017:William Shakespeare
1778:The Russian Soviet
1768:that served in the
1753:KC-135 Stratotanker
1721:during World War II
1701:during World War II
1684:during World War II
1637:during World War II
1620:during World War II
1328:Cyril of Alexandria
1163:In the Baháʼí Faith
531:narcissistic number
2951:. Baker Academic.
2949:The Gospel of John
2670:Peter Cunningham,
2630:William Harmless,
1886:
1774:American Civil War
1635:-class minesweeper
1584:United States Navy
1515:
1404:Cornelius à Lapide
1359:argued by quoting
1294:Naturalis Historia
1235:Augustine of Hippo
1212:
1132:
1130:
519:
443:
369:
325:
9245:
9244:
9241:
9240:
9084:
9083:
8487:
8486:
7890:
7889:
7293:
7292:
6696:
6695:
6099:
6098:
5502:
5501:
4905:
4904:
4308:
4307:
3711:
3710:
1843:SouthWest Service
1794:In transportation
1747:is a unit of the
1738:Cheyenne, Wyoming
1728:is a unit of the
1726:153d Airlift Wing
1472:Louis de Montfort
1464:triangular number
1444:Evagrius Ponticus
1369:Mercer University
1332:Gregory the Great
1243:triangular number
1210:leaving the boat)
550:Biggs–Smith graph
384:triangular number
361:
317:triangular number
282:
281:
42:
41:
9265:
9090:
9089:
8493:
8492:
7896:
7895:
7299:
7298:
6702:
6701:
6105:
6104:
5508:
5507:
4911:
4910:
4314:
4313:
3717:
3716:
3093:
3092:
3078:
3071:
3064:
3055:
3054:
3030:
2995:Grant, Robert M.
2981:
2962:
2943:
2914:
2898:
2879:
2862:Grant, Robert M.
2857:
2835:
2813:
2794:
2775:
2756:
2725:
2719:
2713:
2708:
2702:
2701:
2694:
2688:
2683:
2677:
2668:
2662:
2649:
2643:
2628:
2622:
2621:
2620:
2618:
2597:
2591:
2587:
2581:
2574:
2568:
2553:
2542:
2536:
2530:
2524:
2518:
2512:
2506:
2500:
2494:
2488:
2482:
2476:
2470:
2464:
2458:
2452:
2443:
2437:
2431:
2425:
2410:
2404:
2398:
2392:
2381:
2375:
2366:
2360:
2347:
2341:
2330:
2315:
2309:
2294:
2288:
2269:
2263:
2248:
2242:
2236:
2221:
2215:
2206:
2201:
2195:
2190:
2184:
2179:
2173:
2167:
2158:
2153:
2147:
2146:
2144:
2142:
2131:
2125:
2116:
2110:
2109:
2098:
1964:153P/Ikeya-Zhang
1934:Islamic calendar
1829:Peugeot Type 153
1802:is a single-car
1780:Polikarpov I-153
1618:-class destroyer
1580: (T-AO-153)
1567:-class destroyer
1484:St Paul's School
1432:square root of 3
1255:Ten Commandments
1146:uniform polypeta
1141:
1139:
1138:
1133:
1131:
1091:
1090:
1078:
1077:
1065:
1064:
1015:
1014:
1002:
1001:
989:
988:
933:
932:
920:
919:
907:
906:
894:
893:
844:
843:
831:
830:
818:
817:
768:
767:
755:
754:
742:
741:
692:
691:
679:
678:
666:
665:
622:
621:
609:
608:
528:
526:
525:
520:
518:
517:
505:
504:
492:
491:
458:hexagonal number
452:
450:
449:
444:
378:
376:
375:
370:
362:
357:
355:
25:
24:
21:
20:
9273:
9272:
9268:
9267:
9266:
9264:
9263:
9262:
9248:
9247:
9246:
9237:
9204:
9151:
9098:
9080:
9022:
8964:
8906:
8848:
8790:
8732:
8674:
8616:
8558:
8500:
8483:
8425:
8367:
8309:
8251:
8193:
8135:
8077:
8019:
7961:
7903:
7886:
7828:
7770:
7712:
7654:
7596:
7538:
7480:
7422:
7364:
7306:
7289:
7231:
7173:
7115:
7057:
6999:
6941:
6883:
6825:
6767:
6709:
6692:
6634:
6576:
6518:
6460:
6402:
6344:
6286:
6228:
6170:
6112:
6095:
6037:
5979:
5921:
5863:
5805:
5747:
5689:
5631:
5573:
5515:
5498:
5440:
5382:
5324:
5266:
5208:
5150:
5092:
5034:
4976:
4918:
4901:
4843:
4785:
4727:
4669:
4611:
4553:
4495:
4437:
4379:
4321:
4304:
4246:
4188:
4130:
4072:
4014:
3956:
3898:
3840:
3782:
3724:
3707:
3649:
3591:
3533:
3475:
3417:
3359:
3301:
3243:
3185:
3100:
3087:
3082:
3049:Wayback Machine
3038:
3033:
2989:
2987:Further reading
2984:
2978:
2959:
2907:Dwight, Timothy
2895:
2876:
2854:
2832:
2810:
2791:
2772:
2753:
2733:
2728:
2720:
2716:
2709:
2705:
2696:
2695:
2691:
2684:
2680:
2676:, 1851, p. 193.
2669:
2665:
2659:Wayback Machine
2652:Montfort.org.uk
2650:
2646:
2629:
2625:
2616:
2614:
2598:
2594:
2588:
2584:
2575:
2571:
2554:
2545:
2537:
2533:
2525:
2521:
2513:
2509:
2501:
2497:
2489:
2485:
2477:
2473:
2465:
2461:
2453:
2446:
2438:
2434:
2426:
2413:
2405:
2401:
2393:
2384:
2376:
2369:
2361:
2350:
2342:
2333:
2316:
2312:
2295:
2291:
2270:
2266:
2250:Jason Byassee,
2249:
2245:
2237:
2224:
2220:, p. 1018.
2216:
2209:
2202:
2198:
2191:
2187:
2180:
2176:
2168:
2161:
2154:
2150:
2140:
2138:
2132:
2128:
2117:
2113:
2106:greatdreams.com
2100:
2099:
2095:
2091:
2059:
1977:) in the outer
1916:
1914:In other fields
1909:is 153 kHz
1875:
1873:In radio and TV
1855:
1796:
1714:United States S
1675: (APA-153)
1562:(DD-153) is an
1550:-class corvette
1523: (FFH 153)
1511: (FFH 153)
1500:
1498:In the military
1468:circular number
1300:as reported by
1290:Pliny The Elder
1278:Robert M. Grant
1253:) and law (the
1220:chapter 21:1–14
1189:
1165:
1157:Heegner numbers
1129:
1128:
1123:
1116:
1099:
1092:
1086:
1082:
1073:
1069:
1060:
1056:
1053:
1052:
1047:
1040:
1023:
1016:
1010:
1006:
997:
993:
984:
980:
977:
976:
971:
964:
941:
934:
928:
924:
915:
911:
902:
898:
889:
885:
882:
881:
876:
869:
852:
845:
839:
835:
826:
822:
813:
809:
806:
805:
800:
793:
776:
769:
763:
759:
750:
746:
737:
733:
730:
729:
724:
717:
700:
693:
687:
683:
674:
670:
661:
657:
654:
653:
648:
641:
630:
623:
617:
613:
604:
600:
596:
594:
591:
590:
567:, divisible by
554:symmetric graph
543:Friedman number
513:
509:
500:
496:
487:
483:
475:
472:
471:
465:Ruth-Aaron pair
399:
396:
395:
356:
351:
346:
343:
342:
309:
278:
265:
252:
239:
226:
213:
159:
138:
100:
99:
90:List of numbers
84:
19:
12:
11:
5:
9271:
9261:
9260:
9243:
9242:
9239:
9238:
9236:
9235:
9230:
9225:
9220:
9215:
9209:
9206:
9205:
9203:
9202:
9197:
9192:
9187:
9182:
9177:
9172:
9167:
9162:
9156:
9153:
9152:
9150:
9149:
9144:
9139:
9134:
9129:
9124:
9119:
9114:
9109:
9103:
9100:
9099:
9086:
9085:
9082:
9081:
9079:
9078:
9073:
9068:
9063:
9058:
9053:
9048:
9043:
9038:
9033:
9027:
9024:
9023:
9021:
9020:
9015:
9010:
9005:
9000:
8995:
8990:
8985:
8980:
8975:
8969:
8966:
8965:
8963:
8962:
8957:
8952:
8947:
8942:
8937:
8932:
8927:
8922:
8917:
8911:
8908:
8907:
8905:
8904:
8899:
8894:
8889:
8884:
8879:
8874:
8869:
8864:
8859:
8853:
8850:
8849:
8847:
8846:
8841:
8836:
8831:
8826:
8821:
8816:
8811:
8806:
8801:
8795:
8792:
8791:
8789:
8788:
8783:
8778:
8773:
8768:
8763:
8758:
8753:
8748:
8743:
8737:
8734:
8733:
8731:
8730:
8725:
8720:
8715:
8710:
8705:
8700:
8695:
8690:
8685:
8679:
8676:
8675:
8673:
8672:
8667:
8662:
8657:
8652:
8647:
8642:
8637:
8632:
8627:
8621:
8618:
8617:
8615:
8614:
8609:
8604:
8599:
8594:
8589:
8584:
8579:
8574:
8569:
8563:
8560:
8559:
8557:
8556:
8551:
8546:
8541:
8536:
8531:
8526:
8521:
8516:
8511:
8505:
8502:
8501:
8489:
8488:
8485:
8484:
8482:
8481:
8476:
8471:
8466:
8461:
8456:
8451:
8446:
8441:
8436:
8430:
8427:
8426:
8424:
8423:
8418:
8413:
8408:
8403:
8398:
8393:
8388:
8383:
8378:
8372:
8369:
8368:
8366:
8365:
8360:
8355:
8350:
8345:
8340:
8335:
8330:
8325:
8320:
8314:
8311:
8310:
8308:
8307:
8302:
8297:
8292:
8287:
8282:
8277:
8272:
8267:
8262:
8256:
8253:
8252:
8250:
8249:
8244:
8239:
8234:
8229:
8224:
8219:
8214:
8209:
8204:
8198:
8195:
8194:
8192:
8191:
8186:
8181:
8176:
8171:
8166:
8161:
8156:
8151:
8146:
8140:
8137:
8136:
8134:
8133:
8128:
8123:
8118:
8113:
8108:
8103:
8098:
8093:
8088:
8082:
8079:
8078:
8076:
8075:
8070:
8065:
8060:
8055:
8050:
8045:
8040:
8035:
8030:
8024:
8021:
8020:
8018:
8017:
8012:
8007:
8002:
7997:
7992:
7987:
7982:
7977:
7972:
7966:
7963:
7962:
7960:
7959:
7954:
7949:
7944:
7939:
7934:
7929:
7924:
7919:
7914:
7908:
7905:
7904:
7892:
7891:
7888:
7887:
7885:
7884:
7879:
7874:
7869:
7864:
7859:
7854:
7849:
7844:
7839:
7833:
7830:
7829:
7827:
7826:
7821:
7816:
7811:
7806:
7801:
7796:
7791:
7786:
7781:
7775:
7772:
7771:
7769:
7768:
7763:
7758:
7753:
7748:
7743:
7738:
7733:
7728:
7723:
7717:
7714:
7713:
7711:
7710:
7705:
7700:
7695:
7690:
7685:
7680:
7675:
7670:
7665:
7659:
7656:
7655:
7653:
7652:
7647:
7642:
7637:
7632:
7627:
7622:
7617:
7612:
7607:
7601:
7598:
7597:
7595:
7594:
7589:
7584:
7579:
7574:
7569:
7564:
7559:
7554:
7549:
7543:
7540:
7539:
7537:
7536:
7531:
7526:
7521:
7516:
7511:
7506:
7501:
7496:
7491:
7485:
7482:
7481:
7479:
7478:
7473:
7468:
7463:
7458:
7453:
7448:
7443:
7438:
7433:
7427:
7424:
7423:
7421:
7420:
7415:
7410:
7405:
7400:
7395:
7390:
7385:
7380:
7375:
7369:
7366:
7365:
7363:
7362:
7357:
7352:
7347:
7342:
7337:
7332:
7327:
7322:
7317:
7311:
7308:
7307:
7295:
7294:
7291:
7290:
7288:
7287:
7282:
7277:
7272:
7267:
7262:
7257:
7252:
7247:
7242:
7236:
7233:
7232:
7230:
7229:
7224:
7219:
7214:
7209:
7204:
7199:
7194:
7189:
7184:
7178:
7175:
7174:
7172:
7171:
7166:
7161:
7156:
7151:
7146:
7141:
7136:
7131:
7126:
7120:
7117:
7116:
7114:
7113:
7108:
7103:
7098:
7093:
7088:
7083:
7078:
7073:
7068:
7062:
7059:
7058:
7056:
7055:
7050:
7045:
7040:
7035:
7030:
7025:
7020:
7015:
7010:
7004:
7001:
7000:
6998:
6997:
6992:
6987:
6982:
6977:
6972:
6967:
6962:
6957:
6952:
6946:
6943:
6942:
6940:
6939:
6934:
6929:
6924:
6919:
6914:
6909:
6904:
6899:
6894:
6888:
6885:
6884:
6882:
6881:
6876:
6871:
6866:
6861:
6856:
6851:
6846:
6841:
6836:
6830:
6827:
6826:
6824:
6823:
6818:
6813:
6808:
6803:
6798:
6793:
6788:
6783:
6778:
6772:
6769:
6768:
6766:
6765:
6760:
6755:
6750:
6745:
6740:
6735:
6730:
6725:
6720:
6714:
6711:
6710:
6698:
6697:
6694:
6693:
6691:
6690:
6685:
6680:
6675:
6670:
6665:
6660:
6655:
6650:
6645:
6639:
6636:
6635:
6633:
6632:
6627:
6622:
6617:
6612:
6607:
6602:
6597:
6592:
6587:
6581:
6578:
6577:
6575:
6574:
6569:
6564:
6559:
6554:
6549:
6544:
6539:
6534:
6529:
6523:
6520:
6519:
6517:
6516:
6511:
6506:
6501:
6496:
6491:
6486:
6481:
6476:
6471:
6465:
6462:
6461:
6459:
6458:
6453:
6448:
6443:
6438:
6433:
6428:
6423:
6418:
6413:
6407:
6404:
6403:
6401:
6400:
6395:
6390:
6385:
6380:
6375:
6370:
6365:
6360:
6355:
6349:
6346:
6345:
6343:
6342:
6337:
6332:
6327:
6322:
6317:
6312:
6307:
6302:
6297:
6291:
6288:
6287:
6285:
6284:
6279:
6274:
6269:
6264:
6259:
6254:
6249:
6244:
6239:
6233:
6230:
6229:
6227:
6226:
6221:
6216:
6211:
6206:
6201:
6196:
6191:
6186:
6181:
6175:
6172:
6171:
6169:
6168:
6163:
6158:
6153:
6148:
6143:
6138:
6133:
6128:
6123:
6117:
6114:
6113:
6101:
6100:
6097:
6096:
6094:
6093:
6088:
6083:
6078:
6073:
6068:
6063:
6058:
6053:
6048:
6042:
6039:
6038:
6036:
6035:
6030:
6025:
6020:
6015:
6010:
6005:
6000:
5995:
5990:
5984:
5981:
5980:
5978:
5977:
5972:
5967:
5962:
5957:
5952:
5947:
5942:
5937:
5932:
5926:
5923:
5922:
5920:
5919:
5914:
5909:
5904:
5899:
5894:
5889:
5884:
5879:
5874:
5868:
5865:
5864:
5862:
5861:
5856:
5851:
5846:
5841:
5836:
5831:
5826:
5821:
5816:
5810:
5807:
5806:
5804:
5803:
5798:
5793:
5788:
5783:
5778:
5773:
5768:
5763:
5758:
5752:
5749:
5748:
5746:
5745:
5740:
5735:
5730:
5725:
5720:
5715:
5710:
5705:
5700:
5694:
5691:
5690:
5688:
5687:
5682:
5677:
5672:
5667:
5662:
5657:
5652:
5647:
5642:
5636:
5633:
5632:
5630:
5629:
5624:
5619:
5614:
5609:
5604:
5599:
5594:
5589:
5584:
5578:
5575:
5574:
5572:
5571:
5566:
5561:
5556:
5551:
5546:
5541:
5536:
5531:
5526:
5520:
5517:
5516:
5504:
5503:
5500:
5499:
5497:
5496:
5491:
5486:
5481:
5476:
5471:
5466:
5461:
5456:
5451:
5445:
5442:
5441:
5439:
5438:
5433:
5428:
5423:
5418:
5413:
5408:
5403:
5398:
5393:
5387:
5384:
5383:
5381:
5380:
5375:
5370:
5365:
5360:
5355:
5350:
5345:
5340:
5335:
5329:
5326:
5325:
5323:
5322:
5317:
5312:
5307:
5302:
5297:
5292:
5287:
5282:
5277:
5271:
5268:
5267:
5265:
5264:
5259:
5254:
5249:
5244:
5239:
5234:
5229:
5224:
5219:
5213:
5210:
5209:
5207:
5206:
5201:
5196:
5191:
5186:
5181:
5176:
5171:
5166:
5161:
5155:
5152:
5151:
5149:
5148:
5143:
5138:
5133:
5128:
5123:
5118:
5113:
5108:
5103:
5097:
5094:
5093:
5091:
5090:
5085:
5080:
5075:
5070:
5065:
5060:
5055:
5050:
5045:
5039:
5036:
5035:
5033:
5032:
5027:
5022:
5017:
5012:
5007:
5002:
4997:
4992:
4987:
4981:
4978:
4977:
4975:
4974:
4969:
4964:
4959:
4954:
4949:
4944:
4939:
4934:
4929:
4923:
4920:
4919:
4907:
4906:
4903:
4902:
4900:
4899:
4894:
4889:
4884:
4879:
4874:
4869:
4864:
4859:
4854:
4848:
4845:
4844:
4842:
4841:
4836:
4831:
4826:
4821:
4816:
4811:
4806:
4801:
4796:
4790:
4787:
4786:
4784:
4783:
4778:
4773:
4768:
4763:
4758:
4753:
4748:
4743:
4738:
4732:
4729:
4728:
4726:
4725:
4720:
4715:
4710:
4705:
4700:
4695:
4690:
4685:
4680:
4674:
4671:
4670:
4668:
4667:
4662:
4657:
4652:
4647:
4642:
4637:
4632:
4627:
4622:
4616:
4613:
4612:
4610:
4609:
4604:
4599:
4594:
4589:
4584:
4579:
4574:
4569:
4564:
4558:
4555:
4554:
4552:
4551:
4546:
4541:
4536:
4531:
4526:
4521:
4516:
4511:
4506:
4500:
4497:
4496:
4494:
4493:
4488:
4483:
4478:
4473:
4468:
4463:
4458:
4453:
4448:
4442:
4439:
4438:
4436:
4435:
4430:
4425:
4420:
4415:
4410:
4405:
4400:
4395:
4390:
4384:
4381:
4380:
4378:
4377:
4372:
4367:
4362:
4357:
4352:
4347:
4342:
4337:
4332:
4326:
4323:
4322:
4310:
4309:
4306:
4305:
4303:
4302:
4297:
4292:
4287:
4282:
4277:
4272:
4267:
4262:
4257:
4251:
4248:
4247:
4245:
4244:
4239:
4234:
4229:
4224:
4219:
4214:
4209:
4204:
4199:
4193:
4190:
4189:
4187:
4186:
4181:
4176:
4171:
4166:
4161:
4156:
4151:
4146:
4141:
4135:
4132:
4131:
4129:
4128:
4123:
4118:
4113:
4108:
4103:
4098:
4093:
4088:
4083:
4077:
4074:
4073:
4071:
4070:
4065:
4060:
4055:
4050:
4045:
4040:
4035:
4030:
4025:
4019:
4016:
4015:
4013:
4012:
4007:
4002:
3997:
3992:
3987:
3982:
3977:
3972:
3967:
3961:
3958:
3957:
3955:
3954:
3949:
3944:
3939:
3934:
3929:
3924:
3919:
3914:
3909:
3903:
3900:
3899:
3897:
3896:
3891:
3886:
3881:
3876:
3871:
3866:
3861:
3856:
3851:
3845:
3842:
3841:
3839:
3838:
3833:
3828:
3823:
3818:
3813:
3808:
3803:
3798:
3793:
3787:
3784:
3783:
3781:
3780:
3775:
3770:
3765:
3760:
3755:
3750:
3745:
3740:
3735:
3729:
3726:
3725:
3713:
3712:
3709:
3708:
3706:
3705:
3700:
3695:
3690:
3685:
3680:
3675:
3670:
3665:
3660:
3654:
3651:
3650:
3648:
3647:
3642:
3637:
3632:
3627:
3622:
3617:
3612:
3607:
3602:
3596:
3593:
3592:
3590:
3589:
3584:
3579:
3574:
3569:
3564:
3559:
3554:
3549:
3544:
3538:
3535:
3534:
3532:
3531:
3526:
3521:
3516:
3511:
3506:
3501:
3496:
3491:
3486:
3480:
3477:
3476:
3474:
3473:
3468:
3463:
3458:
3453:
3448:
3443:
3438:
3433:
3428:
3422:
3419:
3418:
3416:
3415:
3410:
3405:
3400:
3395:
3390:
3385:
3380:
3375:
3370:
3364:
3361:
3360:
3358:
3357:
3352:
3347:
3342:
3337:
3332:
3327:
3322:
3317:
3312:
3306:
3303:
3302:
3300:
3299:
3294:
3289:
3284:
3279:
3274:
3269:
3264:
3259:
3254:
3248:
3245:
3244:
3242:
3241:
3236:
3231:
3226:
3221:
3216:
3211:
3206:
3201:
3196:
3190:
3187:
3186:
3184:
3183:
3176:
3169:
3162:
3155:
3148:
3141:
3134:
3127:
3120:
3113:
3105:
3102:
3101:
3089:
3088:
3081:
3080:
3073:
3066:
3058:
3052:
3051:
3037:
3036:External links
3034:
3032:
3031:
3005:(4): 273–275.
2990:
2988:
2985:
2983:
2982:
2976:
2963:
2957:
2944:
2915:
2899:
2893:
2880:
2874:
2858:
2852:
2836:
2830:
2814:
2808:
2795:
2789:
2776:
2770:
2757:
2751:
2734:
2732:
2729:
2727:
2726:
2714:
2703:
2689:
2678:
2663:
2644:
2623:
2592:
2582:
2569:
2543:
2531:
2529:, p. 195.
2519:
2507:
2505:, p. 444.
2495:
2483:
2471:
2469:, p. 108.
2459:
2444:
2432:
2430:, p. 537.
2428:Culpepper 2021
2411:
2409:, p. 205.
2399:
2397:, p. 443.
2382:
2380:, p. 109.
2367:
2348:
2346:, p. 539.
2344:Culpepper 2021
2331:
2310:
2296:D. A. Carson,
2289:
2264:
2243:
2239:Twelftree 1999
2222:
2207:
2196:
2185:
2174:
2159:
2148:
2126:
2111:
2092:
2090:
2087:
2086:
2085:
2080:
2075:
2070:
2065:
2058:
2055:
2054:
2053:
2046:
2038:The number of
2036:
2029:
2019:
2009:
2002:
1991:
1981:
1967:
1960:
1950:
1940:
1930:
1915:
1912:
1911:
1910:
1874:
1871:
1870:
1869:
1854:
1851:
1850:
1849:
1832:
1825:
1807:
1795:
1792:
1787:
1786:
1776:
1755:
1741:
1722:
1709: (SS-153)
1702:
1692: (DE-153)
1685:
1668:
1655: (AP-153)
1648:
1645: (AG-153)
1643:Compass Island
1638:
1628: (AM-153)
1621:
1611: (DD-153)
1604:
1597: (IX-153)
1590:
1573:
1556:
1536:
1530:-class frigate
1499:
1496:
1411:Mary Magdalene
1298:Quintus Ennius
1216:Gospel of John
1188:
1185:
1164:
1161:
1150:Coxeter groups
1144:There are 153
1127:
1124:
1122:
1119:
1117:
1115:
1112:
1109:
1106:
1103:
1100:
1098:
1095:
1093:
1089:
1085:
1081:
1076:
1072:
1068:
1063:
1059:
1055:
1054:
1051:
1048:
1046:
1043:
1041:
1039:
1036:
1033:
1030:
1027:
1024:
1022:
1019:
1017:
1013:
1009:
1005:
1000:
996:
992:
987:
983:
979:
978:
975:
972:
970:
967:
965:
963:
960:
957:
954:
951:
948:
945:
942:
940:
937:
935:
931:
927:
923:
918:
914:
910:
905:
901:
897:
892:
888:
884:
883:
880:
877:
875:
872:
870:
868:
865:
862:
859:
856:
853:
851:
848:
846:
842:
838:
834:
829:
825:
821:
816:
812:
808:
807:
804:
801:
799:
796:
794:
792:
789:
786:
783:
780:
777:
775:
772:
770:
766:
762:
758:
753:
749:
745:
740:
736:
732:
731:
728:
725:
723:
720:
718:
716:
713:
710:
707:
704:
701:
699:
696:
694:
690:
686:
682:
677:
673:
669:
664:
660:
656:
655:
652:
649:
647:
644:
642:
640:
637:
634:
631:
629:
626:
624:
620:
616:
612:
607:
603:
599:
598:
581:
580:
577:
574:
571:
516:
512:
508:
503:
499:
495:
490:
486:
482:
479:
442:
439:
436:
433:
430:
427:
424:
421:
418:
415:
412:
409:
406:
403:
368:
365:
360:
354:
350:
308:
307:In mathematics
305:
299:and preceding
293:natural number
280:
279:
276:
273:
267:
266:
263:
260:
254:
253:
250:
247:
241:
240:
237:
234:
228:
227:
224:
221:
215:
214:
211:
208:
202:
201:
198:
192:
191:
188:
182:
181:
178:
172:
171:
168:
162:
161:
156:
150:
149:
146:
140:
139:
101:
98:
97:
92:
86:
85:
47:
44:
43:
40:
39:
34:
31:
18:Natural number
17:
9:
6:
4:
3:
2:
9270:
9259:
9256:
9255:
9253:
9234:
9233:1,000,000,000
9231:
9229:
9226:
9224:
9221:
9219:
9216:
9214:
9211:
9210:
9207:
9201:
9198:
9196:
9193:
9191:
9188:
9186:
9183:
9181:
9178:
9176:
9173:
9171:
9168:
9166:
9163:
9161:
9158:
9157:
9154:
9148:
9145:
9143:
9140:
9138:
9135:
9133:
9130:
9128:
9125:
9123:
9120:
9118:
9115:
9113:
9110:
9108:
9105:
9104:
9101:
9097:
9091:
9087:
9077:
9074:
9072:
9069:
9067:
9064:
9062:
9059:
9057:
9054:
9052:
9049:
9047:
9044:
9042:
9039:
9037:
9034:
9032:
9029:
9028:
9025:
9019:
9016:
9014:
9011:
9009:
9006:
9004:
9001:
8999:
8996:
8994:
8991:
8989:
8986:
8984:
8981:
8979:
8976:
8974:
8971:
8970:
8967:
8961:
8958:
8956:
8953:
8951:
8948:
8946:
8943:
8941:
8938:
8936:
8933:
8931:
8928:
8926:
8923:
8921:
8918:
8916:
8913:
8912:
8909:
8903:
8900:
8898:
8895:
8893:
8890:
8888:
8885:
8883:
8880:
8878:
8875:
8873:
8870:
8868:
8865:
8863:
8860:
8858:
8855:
8854:
8851:
8845:
8842:
8840:
8837:
8835:
8832:
8830:
8827:
8825:
8822:
8820:
8817:
8815:
8812:
8810:
8807:
8805:
8802:
8800:
8797:
8796:
8793:
8787:
8784:
8782:
8779:
8777:
8774:
8772:
8769:
8767:
8764:
8762:
8759:
8757:
8754:
8752:
8749:
8747:
8744:
8742:
8739:
8738:
8735:
8729:
8726:
8724:
8721:
8719:
8716:
8714:
8711:
8709:
8706:
8704:
8701:
8699:
8696:
8694:
8691:
8689:
8686:
8684:
8681:
8680:
8677:
8671:
8668:
8666:
8663:
8661:
8658:
8656:
8653:
8651:
8648:
8646:
8643:
8641:
8638:
8636:
8633:
8631:
8628:
8626:
8623:
8622:
8619:
8613:
8610:
8608:
8605:
8603:
8600:
8598:
8595:
8593:
8590:
8588:
8585:
8583:
8580:
8578:
8575:
8573:
8570:
8568:
8565:
8564:
8561:
8555:
8552:
8550:
8547:
8545:
8542:
8540:
8537:
8535:
8532:
8530:
8527:
8525:
8522:
8520:
8517:
8515:
8512:
8510:
8507:
8506:
8503:
8499:
8494:
8490:
8480:
8477:
8475:
8472:
8470:
8467:
8465:
8462:
8460:
8457:
8455:
8452:
8450:
8447:
8445:
8442:
8440:
8437:
8435:
8432:
8431:
8428:
8422:
8419:
8417:
8414:
8412:
8409:
8407:
8404:
8402:
8399:
8397:
8394:
8392:
8389:
8387:
8384:
8382:
8379:
8377:
8374:
8373:
8370:
8364:
8361:
8359:
8356:
8354:
8351:
8349:
8346:
8344:
8341:
8339:
8336:
8334:
8331:
8329:
8326:
8324:
8321:
8319:
8316:
8315:
8312:
8306:
8303:
8301:
8298:
8296:
8293:
8291:
8288:
8286:
8283:
8281:
8278:
8276:
8273:
8271:
8268:
8266:
8263:
8261:
8258:
8257:
8254:
8248:
8245:
8243:
8240:
8238:
8235:
8233:
8230:
8228:
8225:
8223:
8220:
8218:
8215:
8213:
8210:
8208:
8205:
8203:
8200:
8199:
8196:
8190:
8187:
8185:
8182:
8180:
8177:
8175:
8172:
8170:
8167:
8165:
8162:
8160:
8157:
8155:
8152:
8150:
8147:
8145:
8142:
8141:
8138:
8132:
8129:
8127:
8124:
8122:
8119:
8117:
8114:
8112:
8109:
8107:
8104:
8102:
8099:
8097:
8094:
8092:
8089:
8087:
8084:
8083:
8080:
8074:
8071:
8069:
8066:
8064:
8061:
8059:
8056:
8054:
8051:
8049:
8046:
8044:
8041:
8039:
8036:
8034:
8031:
8029:
8026:
8025:
8022:
8016:
8013:
8011:
8008:
8006:
8003:
8001:
7998:
7996:
7993:
7991:
7988:
7986:
7983:
7981:
7978:
7976:
7973:
7971:
7968:
7967:
7964:
7958:
7955:
7953:
7950:
7948:
7945:
7943:
7940:
7938:
7935:
7933:
7930:
7928:
7925:
7923:
7920:
7918:
7915:
7913:
7910:
7909:
7906:
7902:
7897:
7893:
7883:
7880:
7878:
7875:
7873:
7870:
7868:
7865:
7863:
7860:
7858:
7855:
7853:
7850:
7848:
7845:
7843:
7840:
7838:
7835:
7834:
7831:
7825:
7822:
7820:
7817:
7815:
7812:
7810:
7807:
7805:
7802:
7800:
7797:
7795:
7792:
7790:
7787:
7785:
7782:
7780:
7777:
7776:
7773:
7767:
7764:
7762:
7759:
7757:
7754:
7752:
7749:
7747:
7744:
7742:
7739:
7737:
7734:
7732:
7729:
7727:
7724:
7722:
7719:
7718:
7715:
7709:
7706:
7704:
7701:
7699:
7696:
7694:
7691:
7689:
7686:
7684:
7681:
7679:
7676:
7674:
7671:
7669:
7666:
7664:
7661:
7660:
7657:
7651:
7648:
7646:
7643:
7641:
7638:
7636:
7633:
7631:
7628:
7626:
7623:
7621:
7618:
7616:
7613:
7611:
7608:
7606:
7603:
7602:
7599:
7593:
7590:
7588:
7585:
7583:
7580:
7578:
7575:
7573:
7570:
7568:
7565:
7563:
7560:
7558:
7555:
7553:
7550:
7548:
7545:
7544:
7541:
7535:
7532:
7530:
7527:
7525:
7522:
7520:
7517:
7515:
7512:
7510:
7507:
7505:
7502:
7500:
7497:
7495:
7492:
7490:
7487:
7486:
7483:
7477:
7474:
7472:
7469:
7467:
7464:
7462:
7459:
7457:
7454:
7452:
7449:
7447:
7444:
7442:
7439:
7437:
7434:
7432:
7429:
7428:
7425:
7419:
7416:
7414:
7411:
7409:
7406:
7404:
7401:
7399:
7396:
7394:
7391:
7389:
7386:
7384:
7381:
7379:
7376:
7374:
7371:
7370:
7367:
7361:
7358:
7356:
7353:
7351:
7348:
7346:
7343:
7341:
7338:
7336:
7333:
7331:
7328:
7326:
7323:
7321:
7318:
7316:
7313:
7312:
7309:
7305:
7300:
7296:
7286:
7283:
7281:
7278:
7276:
7273:
7271:
7268:
7266:
7263:
7261:
7258:
7256:
7253:
7251:
7248:
7246:
7243:
7241:
7238:
7237:
7234:
7228:
7225:
7223:
7220:
7218:
7215:
7213:
7210:
7208:
7205:
7203:
7200:
7198:
7195:
7193:
7190:
7188:
7185:
7183:
7180:
7179:
7176:
7170:
7167:
7165:
7162:
7160:
7157:
7155:
7152:
7150:
7147:
7145:
7142:
7140:
7137:
7135:
7132:
7130:
7127:
7125:
7122:
7121:
7118:
7112:
7109:
7107:
7104:
7102:
7099:
7097:
7094:
7092:
7089:
7087:
7084:
7082:
7079:
7077:
7074:
7072:
7069:
7067:
7064:
7063:
7060:
7054:
7051:
7049:
7046:
7044:
7041:
7039:
7036:
7034:
7031:
7029:
7026:
7024:
7021:
7019:
7016:
7014:
7011:
7009:
7006:
7005:
7002:
6996:
6993:
6991:
6988:
6986:
6983:
6981:
6978:
6976:
6973:
6971:
6968:
6966:
6963:
6961:
6958:
6956:
6953:
6951:
6948:
6947:
6944:
6938:
6935:
6933:
6930:
6928:
6925:
6923:
6920:
6918:
6915:
6913:
6910:
6908:
6905:
6903:
6900:
6898:
6895:
6893:
6890:
6889:
6886:
6880:
6877:
6875:
6872:
6870:
6867:
6865:
6862:
6860:
6857:
6855:
6852:
6850:
6847:
6845:
6842:
6840:
6837:
6835:
6832:
6831:
6828:
6822:
6819:
6817:
6814:
6812:
6809:
6807:
6804:
6802:
6799:
6797:
6794:
6792:
6789:
6787:
6784:
6782:
6779:
6777:
6774:
6773:
6770:
6764:
6761:
6759:
6756:
6754:
6751:
6749:
6746:
6744:
6741:
6739:
6736:
6734:
6731:
6729:
6726:
6724:
6721:
6719:
6716:
6715:
6712:
6708:
6703:
6699:
6689:
6686:
6684:
6681:
6679:
6676:
6674:
6671:
6669:
6666:
6664:
6661:
6659:
6656:
6654:
6651:
6649:
6646:
6644:
6641:
6640:
6637:
6631:
6628:
6626:
6623:
6621:
6618:
6616:
6613:
6611:
6608:
6606:
6603:
6601:
6598:
6596:
6593:
6591:
6588:
6586:
6583:
6582:
6579:
6573:
6570:
6568:
6565:
6563:
6560:
6558:
6555:
6553:
6550:
6548:
6545:
6543:
6540:
6538:
6535:
6533:
6530:
6528:
6525:
6524:
6521:
6515:
6512:
6510:
6507:
6505:
6502:
6500:
6497:
6495:
6492:
6490:
6487:
6485:
6482:
6480:
6477:
6475:
6472:
6470:
6467:
6466:
6463:
6457:
6454:
6452:
6449:
6447:
6444:
6442:
6439:
6437:
6434:
6432:
6429:
6427:
6424:
6422:
6419:
6417:
6414:
6412:
6409:
6408:
6405:
6399:
6396:
6394:
6391:
6389:
6386:
6384:
6381:
6379:
6376:
6374:
6371:
6369:
6366:
6364:
6361:
6359:
6356:
6354:
6351:
6350:
6347:
6341:
6338:
6336:
6333:
6331:
6328:
6326:
6323:
6321:
6318:
6316:
6313:
6311:
6308:
6306:
6303:
6301:
6298:
6296:
6293:
6292:
6289:
6283:
6280:
6278:
6275:
6273:
6270:
6268:
6265:
6263:
6260:
6258:
6255:
6253:
6250:
6248:
6245:
6243:
6240:
6238:
6235:
6234:
6231:
6225:
6222:
6220:
6217:
6215:
6212:
6210:
6207:
6205:
6202:
6200:
6197:
6195:
6192:
6190:
6187:
6185:
6182:
6180:
6177:
6176:
6173:
6167:
6164:
6162:
6159:
6157:
6154:
6152:
6149:
6147:
6144:
6142:
6139:
6137:
6134:
6132:
6129:
6127:
6124:
6122:
6119:
6118:
6115:
6111:
6106:
6102:
6092:
6089:
6087:
6084:
6082:
6079:
6077:
6074:
6072:
6069:
6067:
6064:
6062:
6059:
6057:
6054:
6052:
6049:
6047:
6044:
6043:
6040:
6034:
6031:
6029:
6026:
6024:
6021:
6019:
6016:
6014:
6011:
6009:
6006:
6004:
6001:
5999:
5996:
5994:
5991:
5989:
5986:
5985:
5982:
5976:
5973:
5971:
5968:
5966:
5963:
5961:
5958:
5956:
5953:
5951:
5948:
5946:
5943:
5941:
5938:
5936:
5933:
5931:
5928:
5927:
5924:
5918:
5915:
5913:
5910:
5908:
5905:
5903:
5900:
5898:
5895:
5893:
5890:
5888:
5885:
5883:
5880:
5878:
5875:
5873:
5870:
5869:
5866:
5860:
5857:
5855:
5852:
5850:
5847:
5845:
5842:
5840:
5837:
5835:
5832:
5830:
5827:
5825:
5822:
5820:
5817:
5815:
5812:
5811:
5808:
5802:
5799:
5797:
5794:
5792:
5789:
5787:
5784:
5782:
5779:
5777:
5774:
5772:
5769:
5767:
5764:
5762:
5759:
5757:
5754:
5753:
5750:
5744:
5741:
5739:
5736:
5734:
5731:
5729:
5726:
5724:
5721:
5719:
5716:
5714:
5711:
5709:
5706:
5704:
5701:
5699:
5696:
5695:
5692:
5686:
5683:
5681:
5678:
5676:
5673:
5671:
5668:
5666:
5663:
5661:
5658:
5656:
5653:
5651:
5648:
5646:
5643:
5641:
5638:
5637:
5634:
5628:
5625:
5623:
5620:
5618:
5615:
5613:
5610:
5608:
5605:
5603:
5600:
5598:
5595:
5593:
5590:
5588:
5585:
5583:
5580:
5579:
5576:
5570:
5567:
5565:
5562:
5560:
5557:
5555:
5552:
5550:
5547:
5545:
5542:
5540:
5537:
5535:
5532:
5530:
5527:
5525:
5522:
5521:
5518:
5514:
5509:
5505:
5495:
5492:
5490:
5487:
5485:
5482:
5480:
5477:
5475:
5472:
5470:
5467:
5465:
5462:
5460:
5457:
5455:
5452:
5450:
5447:
5446:
5443:
5437:
5434:
5432:
5429:
5427:
5424:
5422:
5419:
5417:
5414:
5412:
5409:
5407:
5404:
5402:
5399:
5397:
5394:
5392:
5389:
5388:
5385:
5379:
5376:
5374:
5371:
5369:
5366:
5364:
5361:
5359:
5356:
5354:
5351:
5349:
5346:
5344:
5341:
5339:
5336:
5334:
5331:
5330:
5327:
5321:
5318:
5316:
5313:
5311:
5308:
5306:
5303:
5301:
5298:
5296:
5293:
5291:
5288:
5286:
5283:
5281:
5278:
5276:
5273:
5272:
5269:
5263:
5260:
5258:
5255:
5253:
5250:
5248:
5245:
5243:
5240:
5238:
5235:
5233:
5230:
5228:
5225:
5223:
5220:
5218:
5215:
5214:
5211:
5205:
5202:
5200:
5197:
5195:
5192:
5190:
5187:
5185:
5182:
5180:
5177:
5175:
5172:
5170:
5167:
5165:
5162:
5160:
5157:
5156:
5153:
5147:
5144:
5142:
5139:
5137:
5134:
5132:
5129:
5127:
5124:
5122:
5119:
5117:
5114:
5112:
5109:
5107:
5104:
5102:
5099:
5098:
5095:
5089:
5086:
5084:
5081:
5079:
5076:
5074:
5071:
5069:
5066:
5064:
5061:
5059:
5056:
5054:
5051:
5049:
5046:
5044:
5041:
5040:
5037:
5031:
5028:
5026:
5023:
5021:
5018:
5016:
5013:
5011:
5008:
5006:
5003:
5001:
4998:
4996:
4993:
4991:
4988:
4986:
4983:
4982:
4979:
4973:
4970:
4968:
4965:
4963:
4960:
4958:
4955:
4953:
4950:
4948:
4945:
4943:
4940:
4938:
4935:
4933:
4930:
4928:
4925:
4924:
4921:
4917:
4912:
4908:
4898:
4895:
4893:
4890:
4888:
4885:
4883:
4880:
4878:
4875:
4873:
4870:
4868:
4865:
4863:
4860:
4858:
4855:
4853:
4850:
4849:
4846:
4840:
4837:
4835:
4832:
4830:
4827:
4825:
4822:
4820:
4817:
4815:
4812:
4810:
4807:
4805:
4802:
4800:
4797:
4795:
4792:
4791:
4788:
4782:
4779:
4777:
4774:
4772:
4769:
4767:
4764:
4762:
4759:
4757:
4754:
4752:
4749:
4747:
4744:
4742:
4739:
4737:
4734:
4733:
4730:
4724:
4721:
4719:
4716:
4714:
4711:
4709:
4706:
4704:
4701:
4699:
4696:
4694:
4691:
4689:
4686:
4684:
4681:
4679:
4676:
4675:
4672:
4666:
4663:
4661:
4658:
4656:
4653:
4651:
4648:
4646:
4643:
4641:
4638:
4636:
4633:
4631:
4628:
4626:
4623:
4621:
4618:
4617:
4614:
4608:
4605:
4603:
4600:
4598:
4595:
4593:
4590:
4588:
4585:
4583:
4580:
4578:
4575:
4573:
4570:
4568:
4565:
4563:
4560:
4559:
4556:
4550:
4547:
4545:
4542:
4540:
4537:
4535:
4532:
4530:
4527:
4525:
4522:
4520:
4517:
4515:
4512:
4510:
4507:
4505:
4502:
4501:
4498:
4492:
4489:
4487:
4484:
4482:
4479:
4477:
4474:
4472:
4469:
4467:
4464:
4462:
4459:
4457:
4454:
4452:
4449:
4447:
4444:
4443:
4440:
4434:
4431:
4429:
4426:
4424:
4421:
4419:
4416:
4414:
4411:
4409:
4406:
4404:
4401:
4399:
4396:
4394:
4391:
4389:
4386:
4385:
4382:
4376:
4373:
4371:
4368:
4366:
4363:
4361:
4358:
4356:
4353:
4351:
4348:
4346:
4343:
4341:
4338:
4336:
4333:
4331:
4328:
4327:
4324:
4320:
4315:
4311:
4301:
4298:
4296:
4293:
4291:
4288:
4286:
4283:
4281:
4278:
4276:
4273:
4271:
4268:
4266:
4263:
4261:
4258:
4256:
4253:
4252:
4249:
4243:
4240:
4238:
4235:
4233:
4230:
4228:
4225:
4223:
4220:
4218:
4215:
4213:
4210:
4208:
4205:
4203:
4200:
4198:
4195:
4194:
4191:
4185:
4182:
4180:
4177:
4175:
4172:
4170:
4167:
4165:
4162:
4160:
4157:
4155:
4152:
4150:
4147:
4145:
4142:
4140:
4137:
4136:
4133:
4127:
4124:
4122:
4119:
4117:
4114:
4112:
4109:
4107:
4104:
4102:
4099:
4097:
4094:
4092:
4089:
4087:
4084:
4082:
4079:
4078:
4075:
4069:
4066:
4064:
4061:
4059:
4056:
4054:
4051:
4049:
4046:
4044:
4041:
4039:
4036:
4034:
4031:
4029:
4026:
4024:
4021:
4020:
4017:
4011:
4008:
4006:
4003:
4001:
3998:
3996:
3993:
3991:
3988:
3986:
3983:
3981:
3978:
3976:
3973:
3971:
3968:
3966:
3963:
3962:
3959:
3953:
3950:
3948:
3945:
3943:
3940:
3938:
3935:
3933:
3930:
3928:
3925:
3923:
3920:
3918:
3915:
3913:
3910:
3908:
3905:
3904:
3901:
3895:
3892:
3890:
3887:
3885:
3882:
3880:
3877:
3875:
3872:
3870:
3867:
3865:
3862:
3860:
3857:
3855:
3852:
3850:
3847:
3846:
3843:
3837:
3834:
3832:
3829:
3827:
3824:
3822:
3819:
3817:
3814:
3812:
3809:
3807:
3804:
3802:
3799:
3797:
3794:
3792:
3789:
3788:
3785:
3779:
3776:
3774:
3771:
3769:
3766:
3764:
3761:
3759:
3756:
3754:
3751:
3749:
3746:
3744:
3741:
3739:
3736:
3734:
3731:
3730:
3727:
3723:
3718:
3714:
3704:
3701:
3699:
3696:
3694:
3691:
3689:
3686:
3684:
3681:
3679:
3676:
3674:
3671:
3669:
3666:
3664:
3661:
3659:
3656:
3655:
3652:
3646:
3643:
3641:
3638:
3636:
3633:
3631:
3628:
3626:
3623:
3621:
3618:
3616:
3613:
3611:
3608:
3606:
3603:
3601:
3598:
3597:
3594:
3588:
3585:
3583:
3580:
3578:
3575:
3573:
3570:
3568:
3565:
3563:
3560:
3558:
3555:
3553:
3550:
3548:
3545:
3543:
3540:
3539:
3536:
3530:
3527:
3525:
3522:
3520:
3517:
3515:
3512:
3510:
3507:
3505:
3502:
3500:
3497:
3495:
3492:
3490:
3487:
3485:
3482:
3481:
3478:
3472:
3469:
3467:
3464:
3462:
3459:
3457:
3454:
3452:
3449:
3447:
3444:
3442:
3439:
3437:
3434:
3432:
3429:
3427:
3424:
3423:
3420:
3414:
3411:
3409:
3406:
3404:
3401:
3399:
3396:
3394:
3391:
3389:
3386:
3384:
3381:
3379:
3376:
3374:
3371:
3369:
3366:
3365:
3362:
3356:
3353:
3351:
3348:
3346:
3343:
3341:
3338:
3336:
3333:
3331:
3328:
3326:
3323:
3321:
3318:
3316:
3313:
3311:
3308:
3307:
3304:
3298:
3295:
3293:
3290:
3288:
3285:
3283:
3280:
3278:
3275:
3273:
3270:
3268:
3265:
3263:
3260:
3258:
3255:
3253:
3250:
3249:
3246:
3240:
3237:
3235:
3232:
3230:
3227:
3225:
3222:
3220:
3217:
3215:
3212:
3210:
3207:
3205:
3202:
3200:
3197:
3195:
3192:
3191:
3188:
3181:
3177:
3174:
3170:
3167:
3163:
3160:
3156:
3153:
3149:
3146:
3142:
3139:
3135:
3132:
3128:
3125:
3121:
3118:
3114:
3111:
3107:
3106:
3103:
3099:
3094:
3090:
3086:
3079:
3074:
3072:
3067:
3065:
3060:
3059:
3056:
3050:
3046:
3043:
3040:
3039:
3028:
3024:
3020:
3016:
3012:
3008:
3004:
3000:
2996:
2992:
2991:
2979:
2977:9780521092555
2973:
2969:
2964:
2960:
2958:9781441237057
2954:
2950:
2945:
2941:
2937:
2933:
2929:
2925:
2921:
2916:
2912:
2908:
2904:
2900:
2896:
2894:9780567639288
2890:
2886:
2881:
2877:
2875:9781134633753
2871:
2868:. Routledge.
2867:
2863:
2859:
2855:
2853:9780567050243
2849:
2845:
2841:
2837:
2833:
2831:9780567050243
2827:
2823:
2819:
2815:
2811:
2809:9783161602627
2805:
2801:
2796:
2792:
2790:9781405143196
2786:
2782:
2777:
2773:
2771:9780814622117
2767:
2763:
2758:
2754:
2752:9780830815968
2748:
2744:
2740:
2736:
2735:
2723:
2718:
2712:
2707:
2699:
2693:
2687:
2682:
2675:
2674:
2667:
2660:
2656:
2653:
2648:
2641:
2640:0-19-516222-6
2637:
2633:
2627:
2612:
2608:
2607:
2602:
2596:
2586:
2579:
2576:J.W. Wenham,
2573:
2566:
2565:1-59143-012-7
2562:
2558:
2552:
2550:
2548:
2540:
2535:
2528:
2523:
2516:
2511:
2504:
2499:
2492:
2491:Bernard 1928b
2487:
2480:
2479:Bernard 1928a
2475:
2468:
2463:
2456:
2451:
2449:
2441:
2436:
2429:
2424:
2422:
2420:
2418:
2416:
2408:
2403:
2396:
2391:
2389:
2387:
2379:
2374:
2372:
2365:, p. 23.
2364:
2359:
2357:
2355:
2353:
2345:
2340:
2338:
2336:
2328:
2327:0-8308-1451-5
2324:
2320:
2314:
2307:
2306:0-85111-749-X
2303:
2299:
2293:
2286:
2285:1-56548-059-7
2282:
2278:
2274:
2268:
2261:
2260:0-8028-4012-4
2257:
2253:
2247:
2240:
2235:
2233:
2231:
2229:
2227:
2219:
2218:Flanagan 1992
2214:
2212:
2205:
2200:
2194:
2189:
2183:
2178:
2171:
2166:
2164:
2157:
2152:
2137:
2130:
2123:
2122:
2115:
2107:
2103:
2097:
2093:
2084:
2081:
2079:
2076:
2074:
2071:
2069:
2066:
2064:
2061:
2060:
2051:
2047:
2045:
2041:
2037:
2034:
2030:
2028:
2024:
2020:
2018:
2014:
2010:
2007:
2006:atomic number
2003:
2000:
1996:
1992:
1990:
1986:
1982:
1980:
1976:
1972:
1968:
1965:
1961:
1959:
1955:
1951:
1949:
1945:
1942:The code for
1941:
1939:
1935:
1931:
1928:
1924:
1923:
1922:
1920:
1908:
1904:
1900:
1896:
1893:transmitters
1892:
1888:
1887:
1883:
1879:
1867:
1863:
1860:
1857:
1856:
1848:
1844:
1840:
1836:
1833:
1830:
1826:
1823:
1819:
1815:
1811:
1808:
1805:
1801:
1798:
1797:
1791:
1784:
1781:
1777:
1775:
1771:
1767:
1764:
1760:
1756:
1754:
1751:, flying the
1750:
1746:
1742:
1739:
1735:
1732:, located at
1731:
1727:
1723:
1720:
1717:
1715:
1710:
1708:
1703:
1700:
1698:
1693:
1691:
1686:
1683:
1681:
1676:
1674:
1669:
1666:
1663:
1661:
1656:
1654:
1649:
1646:
1644:
1639:
1636:
1634:
1629:
1627:
1622:
1619:
1617:
1612:
1610:
1605:
1602:
1598:
1596:
1591:
1589:
1585:
1581:
1579:
1574:
1572:
1568:
1566:
1561:
1557:
1555:
1551:
1549:
1544:
1542:
1537:
1535:
1531:
1529:
1524:
1522:
1517:
1516:
1512:
1510:
1504:
1495:
1493:
1489:
1485:
1481:
1477:
1473:
1469:
1465:
1461:
1460:square number
1458:, with 100 a
1457:
1453:
1449:
1445:
1441:
1439:
1438:
1433:
1429:
1425:
1424:vesica piscis
1421:
1416:
1412:
1407:
1405:
1401:
1397:
1395:
1391:
1387:
1383:
1379:
1374:
1370:
1365:
1362:
1358:
1353:
1350:
1345:
1341:
1337:
1333:
1329:
1325:
1320:
1317:
1313:
1312:David Strauss
1309:
1307:
1306:ichthyologian
1303:
1299:
1295:
1291:
1287:
1283:
1279:
1275:
1271:
1267:
1263:
1260:
1256:
1252:
1248:
1244:
1240:
1236:
1231:
1229:
1225:
1221:
1217:
1209:
1205:
1201:
1197:
1193:
1184:
1182:
1178:
1174:
1170:
1160:
1158:
1153:
1151:
1147:
1142:
1125:
1120:
1118:
1113:
1110:
1107:
1104:
1101:
1096:
1094:
1087:
1083:
1079:
1074:
1070:
1066:
1061:
1057:
1049:
1044:
1042:
1037:
1034:
1031:
1028:
1025:
1020:
1018:
1011:
1007:
1003:
998:
994:
990:
985:
981:
973:
968:
966:
961:
958:
955:
952:
949:
946:
943:
938:
936:
929:
925:
921:
916:
912:
908:
903:
899:
895:
890:
886:
878:
873:
871:
866:
863:
860:
857:
854:
849:
847:
840:
836:
832:
827:
823:
819:
814:
810:
802:
797:
795:
790:
787:
784:
781:
778:
773:
771:
764:
760:
756:
751:
747:
743:
738:
734:
726:
721:
719:
714:
711:
708:
705:
702:
697:
695:
688:
684:
680:
675:
671:
667:
662:
658:
650:
645:
643:
638:
635:
632:
627:
625:
618:
614:
610:
605:
601:
588:
586:
578:
575:
572:
570:
566:
562:
561:
560:
557:
555:
551:
546:
544:
540:
536:
532:
514:
510:
506:
501:
497:
493:
488:
484:
480:
477:
468:
466:
461:
459:
454:
440:
437:
434:
431:
428:
425:
422:
419:
416:
413:
410:
407:
404:
401:
393:
389:
385:
380:
366:
363:
358:
352:
348:
340:
339:
334:
331:or Mandorla.
330:
329:Vesica Piscis
322:
318:
313:
304:
302:
298:
294:
290:
286:
274:
272:
268:
261:
259:
255:
248:
246:
242:
235:
233:
229:
222:
220:
216:
209:
207:
203:
199:
197:
196:Roman numeral
193:
189:
187:
186:Greek numeral
183:
179:
177:
173:
169:
167:
166:Factorization
163:
157:
155:
151:
147:
145:
141:
137:
134:
131:
128:
125:
122:
119:
116:
113:
110:
107:
104:
96:
93:
91:
88:
87:
83:
80:
77:
74:
71:
68:
65:
62:
59:
56:
53:
50:
45:
38:
35:
32:
30:
27:
26:
22:
16:
4037:
3002:
2998:
2967:
2948:
2926:(6): 53–71.
2923:
2919:
2910:
2884:
2865:
2843:
2821:
2799:
2780:
2761:
2742:
2731:Bibliography
2717:
2706:
2692:
2681:
2671:
2666:
2647:
2631:
2626:
2615:, retrieved
2610:
2605:
2595:
2585:
2577:
2572:
2556:
2534:
2522:
2510:
2498:
2486:
2474:
2462:
2455:Manning 2004
2440:Edwards 2008
2435:
2407:Edwards 2008
2402:
2318:
2313:
2297:
2292:
2276:
2272:
2267:
2251:
2246:
2199:
2193:OEIS:A346630
2188:
2182:OEIS:A165330
2177:
2156:OEIS:A046197
2151:
2139:. Retrieved
2129:
2119:
2114:
2105:
2096:
2043:
1999:Baháʼí Faith
1995:Hidden Words
1954:intelligence
1918:
1917:
1862:Scott Hodges
1835:153rd Street
1788:
1782:
1713:
1706:
1696:
1690:Reuben James
1689:
1679:
1672:
1659:
1652:
1642:
1632:
1625:
1615:
1608:
1600:
1594:
1577:
1564:
1559:
1554:World War II
1547:
1543: (J153)
1540:
1527:
1520:
1508:
1442:
1435:
1408:
1402:
1398:
1393:
1377:
1372:
1366:
1357:John Bernard
1354:
1340:John Emerton
1321:
1315:
1310:
1293:
1285:
1269:
1264:
1259:D. A. Carson
1247:divine grace
1232:
1228:resurrection
1213:
1195:
1187:In the Bible
1171:authored by
1169:Hidden Words
1166:
1154:
1143:
589:
582:
558:
547:
529:, it is a 3-
469:
462:
455:
381:
336:
326:
288:
284:
283:
60:
29:← 152
15:
9228:100,000,000
2617:January 30,
2527:Hunter 1965
2515:Wiarda 1992
2467:Keener 2010
2378:Keener 2010
2279:), p. 112,
1837:station on
1772:during the
1588:Vietnam War
1420:Koine Greek
1361:Edwin Hatch
1208:Saint Peter
1173:Baháʼu'lláh
271:Hexadecimal
37:154 →
9223:10,000,000
2363:Grant 2002
2118:Wells, D.
2089:References
1770:Union Army
1578:Cumberland
1576:USNS
1539:HMAS
1519:HMAS
1507:HMAS
1492:John Colet
1480:Hail Marys
1428:Archimedes
1382:triangular
1316:Leben Jesu
1286:Halieutica
392:factorials
333:Archimedes
321:factorials
295:following
258:Duodecimal
9218:1,000,000
3027:162458735
2940:145428133
2040:aphorisms
2027:Nicaragua
2021:The U.S.
1979:Main belt
1975:153 Hilda
1956:" in the
1929:or 153 BC
1925:The year
1921:is also:
1853:In sports
1719:submarine
1705:USS
1688:USS
1671:USS
1665:transport
1651:USS
1641:USS
1633:Admirable
1624:USS
1607:USS
1593:USS
1466:and 25 a
1415:isopsephy
1344:gematrial
364:≈
335:, in his
291:) is the
9258:Integers
9252:Category
3085:Integers
3045:Archived
2909:(1893).
2655:Archived
2603:(1897),
2141:June 26,
2057:See also
1971:asteroid
1895:Donebach
1891:longwave
1882:Donebach
1822:Cameroon
1766:regiment
1763:infantry
1609:Bernadou
1548:Bathurst
1302:Apuleius
1239:integers
1159:is 153.
210:10011001
176:Divisors
144:Cardinal
95:Integers
9213:100,000
3019:1508507
2611:lxxvii
2035:series.
2033:Pokémon
1997:in the
1987:in the
1946:in the
1907:Kenadsa
1761:was an
1697:Buckley
1680:Haskell
1673:Laurens
1626:Buoyant
1601:Trefoil
1595:Asphalt
1569:of the
1565:Asagiri
1541:Whyalla
1532:of the
1513:in 2006
1462:, 28 a
1434:in his
1373:classes
1177:Baháʼís
565:integer
367:0.57735
219:Ternary
154:Ordinal
9200:90,000
9195:80,000
9190:70,000
9185:60,000
9180:50,000
9175:40,000
9170:30,000
9165:20,000
9160:10,000
3182:
3178:
3175:
3171:
3168:
3164:
3161:
3157:
3154:
3150:
3147:
3143:
3140:
3136:
3133:
3129:
3126:
3122:
3119:
3115:
3112:
3108:
3025:
3017:
2974:
2955:
2938:
2891:
2872:
2850:
2828:
2806:
2787:
2768:
2749:
2638:
2590:added.
2563:
2325:
2304:
2283:
2258:
2013:sonnet
1927:AD 153
1905:, and
1903:Braşov
1864:had a
1818:Douala
1783:Chaika
1716:-class
1662:-class
1616:Wickes
1582:was a
1560:Yūgiri
1545:was a
1525:is an
1521:Stuart
1509:Stuart
1488:London
1476:Rosary
1386:square
1274:Oppian
1266:Jerome
1200:Duccio
470:Since
232:Senary
206:Binary
170:3 × 17
3023:S2CID
3015:JSTOR
2936:S2CID
1899:Ingøy
1866:SANFL
1839:Metra
1812:from
1806:train
1528:Anzac
1390:prime
1349:Moses
1324:Simon
1249:(the
1204:Jesus
569:three
552:is a
382:As a
245:Octal
223:12200
200:CLIII
158:153rd
9147:9000
9142:8000
9137:7000
9132:6000
9127:5000
9122:4000
9117:3000
9112:2000
9107:1000
9096:1000
8498:900s
7901:800s
7304:700s
6707:600s
6110:500s
5513:400s
4916:300s
4319:200s
3722:100s
2972:ISBN
2953:ISBN
2889:ISBN
2870:ISBN
2848:ISBN
2826:ISBN
2804:ISBN
2785:ISBN
2766:ISBN
2747:ISBN
2636:ISBN
2619:2010
2613:, 50
2561:ISBN
2323:ISBN
2302:ISBN
2281:ISBN
2256:ISBN
2143:2009
2004:The
1827:The
1757:The
1743:The
1724:The
1707:S-42
1558:JDS
1378:some
1214:The
1175:who
1167:The
879:1080
548:The
190:ΡΝΓ´
9076:999
9071:998
9066:997
9061:996
9056:995
9051:994
9046:993
9041:992
9036:991
9031:990
9018:989
9013:988
9008:987
9003:986
8998:985
8993:984
8988:983
8983:982
8978:981
8973:980
8960:979
8955:978
8950:977
8945:976
8940:975
8935:974
8930:973
8925:972
8920:971
8915:970
8902:969
8897:968
8892:967
8887:966
8882:965
8877:964
8872:963
8867:962
8862:961
8857:960
8844:959
8839:958
8834:957
8829:956
8824:955
8819:954
8814:953
8809:952
8804:951
8799:950
8786:949
8781:948
8776:947
8771:946
8766:945
8761:944
8756:943
8751:942
8746:941
8741:940
8728:939
8723:938
8718:937
8713:936
8708:935
8703:934
8698:933
8693:932
8688:931
8683:930
8670:929
8665:928
8660:927
8655:926
8650:925
8645:924
8640:923
8635:922
8630:921
8625:920
8612:919
8607:918
8602:917
8597:916
8592:915
8587:914
8582:913
8577:912
8572:911
8567:910
8554:909
8549:908
8544:907
8539:906
8534:905
8529:904
8524:903
8519:902
8514:901
8509:900
8479:899
8474:898
8469:897
8464:896
8459:895
8454:894
8449:893
8444:892
8439:891
8434:890
8421:889
8416:888
8411:887
8406:886
8401:885
8396:884
8391:883
8386:882
8381:881
8376:880
8363:879
8358:878
8353:877
8348:876
8343:875
8338:874
8333:873
8328:872
8323:871
8318:870
8305:869
8300:868
8295:867
8290:866
8285:865
8280:864
8275:863
8270:862
8265:861
8260:860
8247:859
8242:858
8237:857
8232:856
8227:855
8222:854
8217:853
8212:852
8207:851
8202:850
8189:849
8184:848
8179:847
8174:846
8169:845
8164:844
8159:843
8154:842
8149:841
8144:840
8131:839
8126:838
8121:837
8116:836
8111:835
8106:834
8101:833
8096:832
8091:831
8086:830
8073:829
8068:828
8063:827
8058:826
8053:825
8048:824
8043:823
8038:822
8033:821
8028:820
8015:819
8010:818
8005:817
8000:816
7995:815
7990:814
7985:813
7980:812
7975:811
7970:810
7957:809
7952:808
7947:807
7942:806
7937:805
7932:804
7927:803
7922:802
7917:801
7912:800
7882:799
7877:798
7872:797
7867:796
7862:795
7857:794
7852:793
7847:792
7842:791
7837:790
7824:789
7819:788
7814:787
7809:786
7804:785
7799:784
7794:783
7789:782
7784:781
7779:780
7766:779
7761:778
7756:777
7751:776
7746:775
7741:774
7736:773
7731:772
7726:771
7721:770
7708:769
7703:768
7698:767
7693:766
7688:765
7683:764
7678:763
7673:762
7668:761
7663:760
7650:759
7645:758
7640:757
7635:756
7630:755
7625:754
7620:753
7615:752
7610:751
7605:750
7592:749
7587:748
7582:747
7577:746
7572:745
7567:744
7562:743
7557:742
7552:741
7547:740
7534:739
7529:738
7524:737
7519:736
7514:735
7509:734
7504:733
7499:732
7494:731
7489:730
7476:729
7471:728
7466:727
7461:726
7456:725
7451:724
7446:723
7441:722
7436:721
7431:720
7418:719
7413:718
7408:717
7403:716
7398:715
7393:714
7388:713
7383:712
7378:711
7373:710
7360:709
7355:708
7350:707
7345:706
7340:705
7335:704
7330:703
7325:702
7320:701
7315:700
7285:699
7280:698
7275:697
7270:696
7265:695
7260:694
7255:693
7250:692
7245:691
7240:690
7227:689
7222:688
7217:687
7212:686
7207:685
7202:684
7197:683
7192:682
7187:681
7182:680
7169:679
7164:678
7159:677
7154:676
7149:675
7144:674
7139:673
7134:672
7129:671
7124:670
7111:669
7106:668
7101:667
7096:666
7091:665
7086:664
7081:663
7076:662
7071:661
7066:660
7053:659
7048:658
7043:657
7038:656
7033:655
7028:654
7023:653
7018:652
7013:651
7008:650
6995:649
6990:648
6985:647
6980:646
6975:645
6970:644
6965:643
6960:642
6955:641
6950:640
6937:639
6932:638
6927:637
6922:636
6917:635
6912:634
6907:633
6902:632
6897:631
6892:630
6879:629
6874:628
6869:627
6864:626
6859:625
6854:624
6849:623
6844:622
6839:621
6834:620
6821:619
6816:618
6811:617
6806:616
6801:615
6796:614
6791:613
6786:612
6781:611
6776:610
6763:609
6758:608
6753:607
6748:606
6743:605
6738:604
6733:603
6728:602
6723:601
6718:600
6688:599
6683:598
6678:597
6673:596
6668:595
6663:594
6658:593
6653:592
6648:591
6643:590
6630:589
6625:588
6620:587
6615:586
6610:585
6605:584
6600:583
6595:582
6590:581
6585:580
6572:579
6567:578
6562:577
6557:576
6552:575
6547:574
6542:573
6537:572
6532:571
6527:570
6514:569
6509:568
6504:567
6499:566
6494:565
6489:564
6484:563
6479:562
6474:561
6469:560
6456:559
6451:558
6446:557
6441:556
6436:555
6431:554
6426:553
6421:552
6416:551
6411:550
6398:549
6393:548
6388:547
6383:546
6378:545
6373:544
6368:543
6363:542
6358:541
6353:540
6340:539
6335:538
6330:537
6325:536
6320:535
6315:534
6310:533
6305:532
6300:531
6295:530
6282:529
6277:528
6272:527
6267:526
6262:525
6257:524
6252:523
6247:522
6242:521
6237:520
6224:519
6219:518
6214:517
6209:516
6204:515
6199:514
6194:513
6189:512
6184:511
6179:510
6166:509
6161:508
6156:507
6151:506
6146:505
6141:504
6136:503
6131:502
6126:501
6121:500
6091:499
6086:498
6081:497
6076:496
6071:495
6066:494
6061:493
6056:492
6051:491
6046:490
6033:489
6028:488
6023:487
6018:486
6013:485
6008:484
6003:483
5998:482
5993:481
5988:480
5975:479
5970:478
5965:477
5960:476
5955:475
5950:474
5945:473
5940:472
5935:471
5930:470
5917:469
5912:468
5907:467
5902:466
5897:465
5892:464
5887:463
5882:462
5877:461
5872:460
5859:459
5854:458
5849:457
5844:456
5839:455
5834:454
5829:453
5824:452
5819:451
5814:450
5801:449
5796:448
5791:447
5786:446
5781:445
5776:444
5771:443
5766:442
5761:441
5756:440
5743:439
5738:438
5733:437
5728:436
5723:435
5718:434
5713:433
5708:432
5703:431
5698:430
5685:429
5680:428
5675:427
5670:426
5665:425
5660:424
5655:423
5650:422
5645:421
5640:420
5627:419
5622:418
5617:417
5612:416
5607:415
5602:414
5597:413
5592:412
5587:411
5582:410
5569:409
5564:408
5559:407
5554:406
5549:405
5544:404
5539:403
5534:402
5529:401
5524:400
5494:399
5489:398
5484:397
5479:396
5474:395
5469:394
5464:393
5459:392
5454:391
5449:390
5436:389
5431:388
5426:387
5421:386
5416:385
5411:384
5406:383
5401:382
5396:381
5391:380
5378:379
5373:378
5368:377
5363:376
5358:375
5353:374
5348:373
5343:372
5338:371
5333:370
5320:369
5315:368
5310:367
5305:366
5300:365
5295:364
5290:363
5285:362
5280:361
5275:360
5262:359
5257:358
5252:357
5247:356
5242:355
5237:354
5232:353
5227:352
5222:351
5217:350
5204:349
5199:348
5194:347
5189:346
5184:345
5179:344
5174:343
5169:342
5164:341
5159:340
5146:339
5141:338
5136:337
5131:336
5126:335
5121:334
5116:333
5111:332
5106:331
5101:330
5088:329
5083:328
5078:327
5073:326
5068:325
5063:324
5058:323
5053:322
5048:321
5043:320
5030:319
5025:318
5020:317
5015:316
5010:315
5005:314
5000:313
4995:312
4990:311
4985:310
4972:309
4967:308
4962:307
4957:306
4952:305
4947:304
4942:303
4937:302
4932:301
4927:300
4897:299
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4852:290
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4824:286
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4814:284
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4776:278
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4766:276
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4751:273
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4736:270
4723:269
4718:268
4713:267
4708:266
4703:265
4698:264
4693:263
4688:262
4683:261
4678:260
4665:259
4660:258
4655:257
4650:256
4645:255
4640:254
4635:253
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4625:251
4620:250
4607:249
4602:248
4597:247
4592:246
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4582:244
4577:243
4572:242
4567:241
4562:240
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4509:231
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4491:229
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4476:226
4471:225
4466:224
4461:223
4456:222
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4413:215
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4360:206
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4350:204
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4340:202
4335:201
4330:200
4300:199
4295:198
4290:197
4285:196
4280:195
4275:194
4270:193
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4260:191
4255:190
4242:189
4237:188
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