Knowledge (XXG)

Frank Nelson Cole

Source ๐Ÿ“

519: 266:, with the result being 147,573,952,589,676,412,927. Cole then moved to the other side of the board and wrote 193,707,721 ร— 761,838,257,287, and worked through the tedious calculations by hand. Upon completing the multiplication and demonstrating that the result equaled M 31: 270:, Cole returned to his seat, not having uttered a word during the hour-long presentation. His audience greeted the presentation with a standing ovation. Cole later admitted that finding the factors had taken "three years of Sundays". 261:
must have factors (i.e., is not prime), but he was unable to determine what those factors were. During Cole's so-called "lecture", he approached the chalkboard and in complete silence proceeded to calculate the value of
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Mathematical papers read at the International Mathematical Congress held in connection with the World's Columbian Exposition
554: 242: 212: 119: 188:. When he was very young, the family moved to Marlborough, Massachusetts where he attended school and graduated from 544: 231: 204: 181: 111: 51: 574: 569: 350: 530: 234:) was read (but not by him) at the International Mathematical Congress held in connection with the 208: 145: 115: 429: 193: 107: 534: 382: 485: 370: 523: 466: 456: 421: 366: 317: 254: 141: 126: 78: 331: 470: 327: 402: 246: 169: 563: 274: 185: 165: 149: 74: 55: 461: 322: 305: 301: 211:(from 1895 until his death in 1926). Professor Cole became the Secretary of the 197: 131: 97: 507: 278: 550: 241:
On October 31, 1903, Cole famously made a presentation to a meeting of the
30: 433: 425: 355:. NY: Macmillan as publisher for the AMS. 1896. pp. 40โ€“43. 373:
Come to the Fair: The Chicago Mathematical Congress of 1893
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Cole, F. N. (1903), "On the factoring of large numbers",
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Cole published a number of important papers, including
168:. He is most famous for discovering the factors of the 281:
in Algebra and Number Theory are named in his honor.
164:(September 20, 1861 โ€“ May 26, 1926) was an American 137: 125: 103: 93: 63: 37: 21: 381:. American Mathematical Society. pp. 67โ€“68. 277:, aged 64. The American Mathematical Society's 8: 224:The Diurnal Variation of Barometric Pressure 375:by David E. Rowe and Karen Hunger Parshall" 296: 294: 29: 18: 460: 321: 540:MacTutor History of Mathematics Archive 290: 245:where he identified the factors of the 226:(1892). In 1893 in Chicago, his paper 407:"The Search for Finite Simple Groups" 7: 585:20th-century American mathematicians 580:19th-century American mathematicians 520:Works by or about Frank Nelson Cole 600:People from Ashland, Massachusetts 379:A Century of Mathematical Meetings 14: 486:"The search for perfect numbers" 462:10.1090/S0002-9904-1903-01079-9 323:10.1090/s0002-9904-1927-04477-9 257:had demonstrated in 1876 that M 605:University of Michigan faculty 203:Later, he was employed at the 1: 555:Mathematics Genealogy Project 243:American Mathematical Society 215:in 1895 and an editor of the 213:American Mathematical Society 120:American Mathematical Society 236:World's Columbian Exposition 590:Columbia University faculty 621: 192:. He was then educated at 347:On a Certain Simple Group 228:On a Certain Simple Group 155: 86: 28: 545:University of St Andrews 207:(from 1888 to 1895) and 196:, where he lectured on 190:Marlborough High School 595:Harvard College alumni 484:Gridgeman, N. (1963), 449:Bull. Amer. Math. Soc. 205:University of Michigan 112:University of Michigan 16:American mathematician 310:Bull. Amer. Math. Soc 249:2 โˆ’ 1, or M 531:Robertson, Edmund F. 414:Mathematics Magazine 535:"Frank Nelson Cole" 529:O'Connor, John J.; 306:"Frank Nelson Cole" 217:Bulletin of the AMS 209:Columbia University 200:from 1885 to 1887. 146:George Abram Miller 116:Columbia University 405:(September 1976). 403:Gallian, Joseph A. 108:Harvard University 48:September 20, 1861 551:Frank Nelson Cole 367:Case, Bettye Anne 180:Cole was born in 162:Frank Nelson Cole 159: 158: 138:Doctoral students 88:Scientific career 23:Frank Nelson Cole 612: 547: 524:Internet Archive 495: 493: 481: 475: 473: 464: 444: 438: 437: 411: 399: 393: 392: 363: 357: 356: 349:by F. N. Cole". 342: 336: 335: 325: 298: 142:Eric Temple Bell 127:Doctoral advisor 70: 47: 45: 33: 19: 620: 619: 615: 614: 613: 611: 610: 609: 560: 559: 528: 516: 504: 499: 498: 483: 482: 478: 446: 445: 441: 426:10.2307/2690115 409: 401: 400: 396: 389: 365: 364: 360: 344: 343: 339: 300: 299: 292: 287: 269: 265: 260: 252: 247:Mersenne number 178: 170:Mersenne number 148: 144: 118: 114: 110: 82: 81:, United States 72: 68: 59: 58:, United States 49: 43: 41: 24: 17: 12: 11: 5: 618: 616: 608: 607: 602: 597: 592: 587: 582: 577: 572: 562: 561: 558: 557: 548: 526: 515: 514:External links 512: 511: 510: 503: 500: 497: 496: 476: 455:(3): 134โ€“137, 439: 420:(4): 163โ€“174. 394: 387: 369:, ed. (1996). 358: 337: 316:(6): 773โ€“777. 289: 288: 286: 283: 267: 263: 258: 250: 230:(the group is 177: 176:Life and works 174: 157: 156: 153: 152: 139: 135: 134: 129: 123: 122: 105: 101: 100: 95: 91: 90: 84: 83: 73: 71:(aged 64) 65: 61: 60: 50: 39: 35: 34: 26: 25: 22: 15: 13: 10: 9: 6: 4: 3: 2: 617: 606: 603: 601: 598: 596: 593: 591: 588: 586: 583: 581: 578: 576: 573: 571: 568: 567: 565: 556: 552: 549: 546: 542: 541: 536: 532: 527: 525: 521: 518: 517: 513: 509: 506: 505: 501: 491: 490:New Scientist 487: 480: 477: 472: 468: 463: 458: 454: 450: 443: 440: 435: 431: 427: 423: 419: 415: 408: 404: 398: 395: 390: 388:9780821804650 384: 380: 376: 374: 368: 362: 359: 354: 353: 348: 341: 338: 333: 329: 324: 319: 315: 311: 307: 303: 297: 295: 291: 284: 282: 280: 276: 275:New York City 273:Cole died in 271: 256: 255:ร‰douard Lucas 248: 244: 239: 237: 233: 229: 225: 220: 218: 214: 210: 206: 201: 199: 195: 191: 187: 186:Massachusetts 183: 175: 173: 171: 167: 166:mathematician 163: 154: 151: 150:Louis Weisner 147: 143: 140: 136: 133: 130: 128: 124: 121: 117: 113: 109: 106: 102: 99: 96: 92: 89: 85: 80: 76: 75:New York City 66: 62: 57: 56:Massachusetts 53: 40: 36: 32: 27: 20: 538: 492:(334): 86โ€“88 489: 479: 452: 448: 442: 417: 413: 397: 378: 372: 361: 351: 346: 340: 313: 309: 302:Fiske, T. S. 272: 240: 227: 223: 221: 202: 179: 161: 160: 104:Institutions 87: 69:(1926-05-26) 67:May 26, 1926 575:1926 deaths 570:1861 births 279:Cole Prizes 198:mathematics 132:Felix Klein 98:Mathematics 564:Categories 508:Cole Prize 471:34.0216.04 44:1861-09-20 219:in 1897. 502:See also 304:(1927). 232:PSL(2,8) 79:New York 553:at the 522:at the 434:2690115 332:1561460 194:Harvard 182:Ashland 172:2 โˆ’ 1. 52:Ashland 469:  432:  385:  330:  94:Fields 430:JSTOR 410:(PDF) 285:Notes 383:ISBN 64:Died 38:Born 467:JFM 457:doi 422:doi 318:doi 566:: 543:, 537:, 533:, 488:, 465:, 453:10 451:, 428:. 418:49 416:. 412:. 377:. 328:MR 326:. 314:33 312:. 308:. 293:^ 268:67 264:67 259:67 253:. 251:67 238:. 184:, 77:, 54:, 494:. 474:. 459:: 436:. 424:: 391:. 371:" 345:" 334:. 320:: 262:M 46:) 42:(

Index


Ashland
Massachusetts
New York City
New York
Mathematics
Harvard University
University of Michigan
Columbia University
American Mathematical Society
Doctoral advisor
Felix Klein
Eric Temple Bell
George Abram Miller
Louis Weisner
mathematician
Mersenne number
Ashland
Massachusetts
Marlborough High School
Harvard
mathematics
University of Michigan
Columbia University
American Mathematical Society
Bulletin of the AMS
PSL(2,8)
World's Columbian Exposition
American Mathematical Society
Mersenne number

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