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D. H. Lehmer

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was at Northern Illinois University he twice invited Lehmer and Emma to spend a semester there. One year Selfridge arranged that Erdős and Lehmer taught a course together on Research Problems in the Theory of Numbers. Lehmer taught the first eight weeks and then Erdős taught the remainder. Erdős
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degree but had subsequently switched focus to mathematics, earning her B.A. in 1928. Later that same year, Lehmer married Emma and, following a tour of Northern California and a trip to Japan to meet Emma's family, they moved by car to
398:, both from Brown University, in 1929 and 1930, respectively; his wife obtained a master's degree in 1930 as well, coaching mathematics to supplement the family income, while also helping her husband type his Ph.D. thesis, 574:
serving as computer operator, ran around the clock without interruption or failure. The following Tuesday, July 9, 1946, Lehmer delivered the talk "Computing Machines for Pure Mathematics" as part of the
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In addition to his significant contributions to number theory algorithms for multiprecision integers, such as factoring, Euclid's algorithm, long division, and proof of primality, he also formulated
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weekend of 1945. (Such tests were run without cost, since the ENIAC would have been left powered on anyway in the interest of minimizing vacuum tube failures.) The problem run during the 3-day
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Lehmer would remain active in computing developments for the remainder of his career. Upon his return to Berkeley, he made plans for building the California Digital Computer (
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In 1940, Lehmer accepted a position back at the mathematics department of UC Berkeley. Lehmer was chairman of the Department of Mathematics at
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Lehmer had quite a wit. On the occasion of the first Asilomar number theory conference, which became an annual event (now called
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Google ngrams comparison of D. H. Lehmer and other variants combined: Derrick Henry Lehmer, Derrick H. Lehmer, Derrick Lehmer
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didn't often teach a course, and he said, "You know it wasn't that difficult. The only problem was being there."
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D. H. Lehmer wrote the article "The Machine Tools of Combinatorics," which is the first chapter in
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In 1950, Lehmer was one of 31 University of California faculty fired after refusing to sign a
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from 1934 until 1938. Their son Donald was born in 1934 while Dick and Emma were at Lehigh.
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from 1954 until 1957. He continued working at UC Berkeley until 1972, the year he became
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After being awarded a second National Research Fellowship, the Lehmers moved on to
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from 1931 to 1932. In the latter year, the couple's first child Laura was born.
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Proceedings of a Second Symposium on Large-Scale Digital Calculating Machinery
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Lehmer, D. H. (1949). "Mathematical methods in large-scale computing units".
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Interview with the Lehmers and others about their experiences at Princeton
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Lehmer continued at Lehigh University for the 1939–1940 academic year.
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Timeline: Summary of events of the Loyalty Oath Controversy 1949–54
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From 1945 to 1946, Lehmer served on the Computations Committee at
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from UC Berkeley, and continued with graduate studies at the
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between 1932 and 1934, where Dick spent a short time at the
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Stanford University Department of Mathematics faculty
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Lehmer took a post as Director of the 418:, allowing him to take positions at the 977:MacTutor History of Mathematics Archive 14: 1050: 785: 544:Moore School of Electrical Engineering 400:An Extended Theory of Lucas' Functions 530:, a group established as part of the 349:He and his father worked together on 1068:20th-century American mathematicians 622:Standards Western Automatic Computer 323:, a professor of mathematics at the 291:' work in the 1930s and devised the 1001: 24: 815:Beckenbach, Edwin F., ed. (1964). 624:to do many calculations involving 508:University of California, Berkeley 420:California Institute of Technology 325:University of California, Berkeley 106:University of California, Berkeley 27:American mathematician (1905-1991) 25: 1119: 907: 817:Applied Combinatorial Mathematics 687: 603:Applied Combinatorial Mathematics 650:Institute for Numerical Analysis 451:The year 1938–1939 was spent in 188:Continued fraction factorization 631: 410:Movements during the Depression 841: 808: 779: 768: 757: 745:Selected papers of D.H. Lehmer 734: 659: 592:Lehmer random number generator 570:weekend of July 4, 1946, with 532:Ballistics Research Laboratory 299:. His peripatetic career as a 176:Lehmer random number generator 13: 1: 997:Mathematics Genealogy Project 944:Photo of Derrick Henry Lehmer 728: 588:pseudorandom number generator 310: 1093:University of Chicago alumni 646:National Bureau of Standards 435:Institute for Advanced Study 7: 711: 678:Asilomar Conference Grounds 501: 356: 285:computational number theory 10: 1124: 612:The Lehmers also assisted 540:University of Pennsylvania 518:ENIAC and computer science 88:Berkeley, California, U.S. 1108:Lehigh University faculty 1073:American number theorists 1011:Communications of the ACM 422:from 1930 to 1931 and at 385: 262: 232: 220: 210: 200: 193: 115: 101: 93: 77: 51: 39: 32: 982:University of St Andrews 764:Photo signed D.H. Lehmer 718:Lucas–Lehmer–Riesel test 703: 696:and participated in the 674:West Coast Number Theory 524:Aberdeen Proving Grounds 465:University of Manchester 416:National Research Fellow 372:Providence, Rhode Island 184:Lehmer's totient problem 164:Meissel–Lehmer algorithm 1098:Brown University alumni 949:The Lehmers at Berkeley 936:10.4064/aa-62-3-207-220 473:John Edensor Littlewood 461:University of Cambridge 402:, which he wrote under 363:Emma Markovna Trotskaia 172:Pocklington–Lehmer test 916:"Derrick Henry Lehmer" 914:Brillhart, J. (1992). 682:analytic number theory 493:Battle of the Atlantic 136:Lehmer's GCD algorithm 132:Lehmer–Schur algorithm 1024:10.1145/361454.361528 618:Fermat's Last Theorem 577:Moore School Lectures 457:Guggenheim Fellowship 431:Princeton, New Jersey 344:University of Chicago 329:Clara Eunice Mitchell 321:Derrick Norman Lehmer 968:Robertson, Edmund F. 880:10.1073/pnas.40.1.25 317:Berkeley, California 70:Berkeley, California 56:Derrick Henry Lehmer 18:Derrick Henry Lehmer 966:O'Connor, John J.; 871:1954PNAS...40...25L 694:Lehmer's conjecture 424:Stanford University 315:Lehmer was born in 257:Peter J. Weinberger 144:Lehmer's conjecture 120:Lehmer's polynomial 954:2016-12-20 at the 698:Cunningham project 512:professor emeritus 459:visiting both the 390:Lehmer received a 747:(2 vols.), 1981, 723:Størmer's theorem 626:Bernoulli numbers 616:with his work on 590:now known as the 552:Leland Cunningham 442:Lehigh University 340:bachelor's degree 293:Lucas–Lehmer test 287:. Lehmer refined 266: 265: 233:Doctoral students 195:Scientific career 156:Lucas–Lehmer test 66:February 23, 1905 16:(Redirected from 1115: 1044: 1026: 984: 940: 938: 923:Acta Arithmetica 920: 902: 901: 892: 882: 845: 839: 838: 812: 806: 805: 783: 777: 772: 766: 761: 755: 738: 599:Edwin Beckenbach 568:Independence Day 477:Harold Davenport 414:Lehmer became a 376:Brown University 305:Great Depression 249:David Singmaster 222:Doctoral advisor 110:Brown University 84: 65: 63: 44: 30: 29: 21: 1123: 1122: 1118: 1117: 1116: 1114: 1113: 1112: 1048: 1047: 956:Wayback Machine 918: 910: 905: 846: 842: 827: 813: 809: 784: 780: 773: 769: 762: 758: 739: 735: 731: 714: 706: 690: 662: 642:Joseph McCarthy 634: 534:to prepare the 520: 504: 412: 392:master's degree 388: 378:offered him an 359: 313: 301:number theorist 297:Mersenne primes 255: 251: 247: 243: 239: 186: 182: 180:Lehmer sequence 178: 174: 170: 166: 162: 158: 154: 150: 146: 142: 138: 134: 130: 126: 122: 108: 89: 86: 82: 73: 67: 61: 59: 58: 57: 47: 35: 28: 23: 22: 15: 12: 11: 5: 1121: 1111: 1110: 1105: 1100: 1095: 1090: 1085: 1080: 1075: 1070: 1065: 1060: 1046: 1045: 1017:(7): 693–694. 999: 990: 985: 972:"D. H. Lehmer" 963: 958: 946: 941: 929:(3): 207–213. 909: 908:External links 906: 904: 903: 840: 825: 807: 778: 767: 756: 732: 730: 727: 726: 725: 720: 713: 710: 705: 702: 689: 688:Lasting impact 686: 666:John Selfridge 661: 658: 633: 630: 614:Harry Vandiver 519: 516: 503: 500: 411: 408: 404:Jacob Tamarkin 387: 384: 380:instructorship 358: 355: 312: 309: 264: 263: 260: 259: 241:John Brillhart 234: 230: 229: 227:Jacob Tamarkin 224: 218: 217: 212: 208: 207: 202: 198: 197: 191: 190: 117: 116:Known for 113: 112: 103: 99: 98: 95: 91: 90: 87: 85:(aged 86) 79: 75: 74: 68: 55: 53: 49: 48: 46:Lehmer in 1984 45: 37: 36: 33: 26: 9: 6: 4: 3: 2: 1120: 1109: 1106: 1104: 1101: 1099: 1096: 1094: 1091: 1089: 1086: 1084: 1081: 1079: 1076: 1074: 1071: 1069: 1066: 1064: 1061: 1059: 1056: 1055: 1053: 1042: 1038: 1034: 1030: 1025: 1020: 1016: 1012: 1008: 1005:(July 1972). 1004: 1003:Alt, Franz L. 1000: 998: 994: 991: 989: 986: 983: 979: 978: 973: 969: 964: 962: 959: 957: 953: 950: 947: 945: 942: 937: 932: 928: 924: 917: 912: 911: 900: 896: 891: 886: 881: 876: 872: 868: 864: 860: 859: 854: 850: 849:Lehmer, D. H. 844: 836: 832: 828: 826:9780471061250 822: 818: 811: 803: 799: 795: 791: 790: 782: 776: 771: 765: 760: 754: 750: 746: 742: 737: 733: 724: 721: 719: 716: 715: 709: 701: 699: 695: 685: 683: 679: 675: 670: 667: 657: 655: 651: 647: 643: 639: 629: 627: 623: 619: 615: 610: 608: 604: 600: 595: 593: 589: 585: 580: 578: 573: 569: 565: 561: 560:sieve methods 557: 553: 549: 548:Haskell Curry 545: 541: 537: 533: 529: 525: 515: 513: 509: 499: 496: 494: 490: 486: 485:Louis Mordell 482: 478: 474: 470: 466: 462: 458: 454: 449: 447: 443: 440:He worked at 438: 436: 432: 427: 425: 421: 417: 407: 405: 401: 397: 393: 383: 381: 377: 373: 368: 364: 354: 352: 351:Lehmer sieves 347: 345: 341: 338:and earned a 337: 332: 330: 326: 322: 318: 308: 306: 302: 298: 294: 290: 289:Édouard Lucas 286: 282: 278: 274: 270: 269:Derrick Henry 261: 258: 254: 250: 246: 245:Ronald Graham 242: 238: 235: 231: 228: 225: 223: 219: 216: 213: 209: 206: 203: 199: 196: 192: 189: 185: 181: 177: 173: 169: 165: 161: 157: 153: 149: 148:Lehmer number 145: 141: 137: 133: 129: 125: 124:Lehmer matrix 121: 118: 114: 111: 107: 104: 100: 96: 92: 80: 76: 71: 54: 50: 43: 38: 31: 19: 1014: 1010: 993:D. H. Lehmer 975: 926: 922: 865:(1): 25–33, 862: 856: 853:Lehmer, Emma 843: 816: 810: 788: 781: 770: 759: 744: 740: 736: 707: 691: 671: 663: 638:loyalty oath 635: 632:McCarthy era 620:, using the 611: 607:Donald Knuth 602: 596: 581: 572:John Mauchly 564:Thanksgiving 521: 505: 497: 450: 446:Pennsylvania 439: 428: 413: 399: 389: 360: 348: 333: 314: 280: 276: 272: 268: 267: 253:Harold Stark 211:Institutions 194: 128:Lehmer sieve 83:(1991-05-22) 81:May 22, 1991 34:D. H. Lehmer 1063:1991 deaths 1058:1905 births 792:. pp.  660:Later years 609:'s series. 481:Kurt Mahler 469:G. H. Hardy 367:engineering 334:He studied 281:D.H. Lehmer 237:Tom Apostol 215:UC Berkeley 205:Mathematics 168:Lehmer pair 160:Lehmer mean 152:Lehmer five 140:Lehmer code 94:Nationality 1052:Categories 753:0919611001 729:References 489:Paul ErdĹ‘s 467:, meeting 311:Early life 62:1905-02-23 1033:0001-0782 835:833629857 819:. Wiley. 556:Franz Alt 102:Education 1041:28565286 952:Archived 899:16589420 712:See also 528:Maryland 502:Berkeley 463:and the 374:, after 357:Marriage 97:American 995:at the 867:Bibcode 802:0044899 453:England 336:physics 1039:  1031:  897:  890:527932 887:  833:  823:  800:  796:–146. 751:  584:CALDIC 554:, and 487:, and 394:and a 386:Career 327:, and 277:Lehmer 201:Fields 72:, U.S. 1037:S2CID 919:(PDF) 704:Death 536:ENIAC 455:on a 396:Ph.D. 319:, to 1029:ISSN 895:PMID 858:PNAS 831:OCLC 821:ISBN 749:ISBN 741:e.g. 654:SWAC 295:for 273:Dick 78:Died 52:Born 1019:doi 931:doi 885:PMC 875:doi 794:141 684:!" 601:'s 542:'s 526:in 444:in 1054:: 1035:. 1027:. 1015:15 1013:. 1009:. 980:, 974:, 970:, 927:62 925:. 921:. 893:, 883:, 873:, 863:40 861:, 851:; 829:. 798:MR 743:, 700:. 648:' 628:. 594:. 550:, 514:. 495:. 483:, 479:, 475:, 471:, 437:. 406:. 382:. 353:. 346:. 331:. 275:" 1043:. 1021:: 939:. 933:: 877:: 869:: 837:. 804:. 271:" 64:) 60:( 20:)

Index

Derrick Henry Lehmer

Berkeley, California
University of California, Berkeley
Brown University
Lehmer's polynomial
Lehmer matrix
Lehmer sieve
Lehmer–Schur algorithm
Lehmer's GCD algorithm
Lehmer code
Lehmer's conjecture
Lehmer number
Lehmer five
Lucas–Lehmer test
Lehmer mean
Meissel–Lehmer algorithm
Lehmer pair
Pocklington–Lehmer test
Lehmer random number generator
Lehmer sequence
Lehmer's totient problem
Continued fraction factorization
Mathematics
UC Berkeley
Doctoral advisor
Jacob Tamarkin
Tom Apostol
John Brillhart
Ronald Graham

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