Thema: Fermatquotient B^(P-1) == 1 (mod P^2) Main table of content: http://www.fermatquotient.com/ Actual list from base 2 until 1052 and base 65537 see: http://www.fermatquotient.com/FermatQuotienten/FermQ_Sort.txt Letzte 20 mit Basen: 3118, 2925, 2061, 8915, 7864, 1030, 9186, 3963, 7383, 1447 (prim), 4364, 8717, 5303 (prim), 6513, 1785, 9458, 2526, 2258, 1065, 5987 (prim) Die gefundenen Primzahlen (P) der Fermatquotienten von der Basis 2 bis 10125 Die Basen sind gegenwärtig durchsucht bis 3.20E+12 Basis, Primzahlen^2 (P^2) 2, 1093, 3511 3, 11, 1006003 5, 2, 20771, 40487, 53471161, 1645333507, 6692367337, 188748146801 6, 66161, 534851, 3152573 7, 5, 491531 10, 3, 487, 56598313 11, 71 12, 2693, 123653 13, 2, 863, 1747591 14, 29, 353, 7596952219 15, 29131, 119327070011 17, 2^4, 3, 46021, 48947, 478225523351 18, 5, 7^3, 37, 331, 33923, 1284043 19, 3, 7^3, 13, 43, 137, 63061489 20, 281, 46457, 9377747, 122959073 21, 2 22, 13, 673, 1595813, 492366587 23, 13, 2481757, 13703077, 15546404183, 2549536629329 24, 5, 25633 26, 3^3, 5, 71, 486999673, 6695256707 28, 3^3, 19, 23 29, 2 30, 7, 160541, 94727075783 31, 7, 79, 6451, 2806861 33, 2^5, 233, 47441, 9639595369 34, 46145917691 35, 3, 1613, 3571 37, 2, 3, 77867, 76407520781 38, 17, 127 39, 8039 40, 11, 17, 307, 66431 41, 2^3, 29, 1025273, 138200401 42, 23^3, 719867822369 43, 5, 103 44, 3, 229, 5851 45, 2, 1283, 131759, 157635607 46, 3, 829 47, 48, 7, 257 50, 7 51, 5, 41 52, 461, 1228488439 53, 2, 3^3, 47, 59, 97 54, 19, 1949 55, 3^3, 30109, 7278001, 27207490529, 902060958301 56, 647, 7079771, 115755260963 57, 2^3, 5^3, 47699, 86197 58, 131, 42250279 59, 2777 60, 29, 9566295763 61, 2 62, 3, 19, 127, 1291 63, 23, 29, 36713, 401771 65, 2^6, 17, 163 66, 89351671, 588024812497 67, 7, 47, 268573 68, 5^3, 7, 19, 113^3, 2741 69, 2, 19, 223, 631, 2503037 70, 13, 142963 71, 3, 47, 331 72, 73, 2^3, 3 74, 5, 1251922253819 75, 17, 43, 347, 31247 76, 5, 37, 1109, 9241, 661049, 20724663983 77, 2, 32687 78, 43, 151, 181, 1163, 56149, 4229335793 79, 7, 263, 3037, 1012573, 60312841 80, 3^4, 7, 13, 6343 82, 3^4, 5 83, 4871, 13691, 315746063 84, 163, 653, 20101, 663840051067 85, 2, 11779 86, 68239, 6232426549 87, 1999, 48121, 604807523183 88, 2535619637 89, 2^3, 3, 13 90, 6590291053 91, 3, 293 92, 727, 383951, 12026117, 18768727, 1485161969 93, 2, 5, 509, 9221, 81551 94, 11, 241, 32143, 463033 95, 2137, 15061, 96185643031 96, 109, 5437, 8329, 12925267, 103336004179 97, 2^5, 7, 2914393, 76704103313 98, 3, 28627, 61001527 99, 5, 7, 13, 19, 83 101, 2, 5, 1050139 102, 7559, 11813, 139409857 103, 24490789 104, 313, 237977, 11950711691 105, 2^3, 7669 106, 79399, 672799 107, 3^3, 5, 97, 613181 108, 3761, 10271, 1296018233 109, 2, 3^3, 20252173 110, 17, 5381, 9431, 1219715607577 111, 131 112, 11, 1037888513 113, 2^4, 405697846751 114, 9181 115, 31, 2743780307 116, 3, 7, 19, 47 117, 2, 7, 31, 37, 182111 118, 3, 5, 11, 23, 3152249, 10404887 119, 1741 120, 11, 653, 2074031, 124148023 122, 11, 2791, 16522744709 123, 34849 124, 5^3, 11^3, 22511 126, 5^3 127, 3, 19, 907, 13778951 129, 2^7, 7, 113 130, 11, 23, 62351, 70439 131, 17, 754480919 132, 5 133, 2, 5277179 134, 3^3, 17, 406531, 73629977 135, 23147324413 136, 3^3, 5153, 87249620417 137, 2^3, 29, 59, 6733, 18951271, 4483681903 138, 97, 4889 139, 1822333408543 140, 14591 141, 2, 192047, 42039743 142, 143111, 12838109 143, 3, 5, 67, 197, 1999, 12848347, 65451824959, 225413072431 145, 2^4, 3, 31 146, 7, 13, 79, 22639 147, 13, 79, 103, 283, 24203, 4058948753 148, 7, 11, 41, 14879, 161141, 2805469039 149, 2, 5, 29573, 121456243, 2283131621 150, 13, 21199069, 85877201, 103053130679 151, 5, 2251, 14107, 5288341, 15697215641 152, 3, 22554863, 54504719 153, 2^3, 8539, 5540099 154, 3 155, 17, 211691, 309131, 6282943, 1196757167 156, 347, 1297 157, 2, 5, 122327, 4242923, 5857727461, 275318049829 158, 17^3, 1031, 820279 159, 367, 5356051 160, 72669541193 161, 2^5, 3^4, 11^3, 83, 137, 6188401, 93405163 162, 607, 142946059423 163, 3^4, 3898031 164, 103, 107, 1493 165, 2, 7, 211, 25102757, 11699444843 166, 7, 877, 61819 167, 64661497 168, 5, 13, 739, 27427 170, 3, 13, 23, 1163, 170613512651 171, 269, 1803383 172, 3, 47, 91303 173, 2, 3079, 56087 174, 5, 113, 199, 379 175, 397, 487, 2199439603 176, 5, 191, 5611481459 177, 2^4, 7, 23, 42397, 123681208241 178, 7, 1213, 67751, 296036443 179, 3, 17, 35059, 126443 180, 269, 5737 181, 2, 3, 101 182, 5^4, 211, 8934721 183, 1231487 184, 89, 661, 1187, 2203, 6043 185, 2^3, 12577 186, 187, 188, 3^3, 13 189, 2, 1847, 6199 190, 3^3, 29, 236981, 382351, 753743 191, 13, 379133 192, 13, 4049, 302279, 465435739 193, 2^6, 5^3, 4877 194, 439, 8338826207 195, 7, 23, 13421, 3132631 197, 2, 3, 7, 653, 6237773 198, 147647, 545639981 199, 3, 5, 77263, 1843757 200, 201, 2^3, 5, 86722091 202, 11, 47 203, 204, 5431, 142061, 1070347, 15028133 205, 2, 367 206, 3, 151, 1201, 2087 207, 5, 41, 269, 809, 26240063 208, 3, 947 209, 2^4, 229, 2203, 511654217, 6802750783 210, 43, 449 211, 279311 212, 1960573 213, 2, 313, 1877 214, 7, 17 215, 3^3, 7, 11, 3327697, 502095466241 217, 2^3, 3^3, 127447, 8468323 218, 5, 163 219, 7891033151 220, 3581, 9619, 79867, 717967, 13477271, 32376410527, 34816906301 221, 2, 29, 1669, 15233, 103361803, 406833359, 455317162337, 1180548631831 222, 223, 71, 349 224, 3, 5, 17, 130677149 226, 3, 5, 7, 97, 157 227, 7, 40277 228, 1361, 182353 229, 2, 31 230, 47, 384533887 231, 232, 5, 30851, 838667, 2250741293 233, 2^3, 3, 11, 157, 86735239 234, 19, 46441, 817766595407 235, 3, 31, 118022689 236, 29, 229 237, 2 238, 977, 8609, 4997219, 863039377, 64904716187 239, 11, 13^4, 74047, 212855197, 361552687, 12502228667 240, 227797 241, 2^4, 11, 523, 1163, 35407 242, 3^5, 373, 2386301, 2434609, 167962252433, 2706669242327 244, 3^5, 7, 16906680221 245, 2, 11, 19, 229, 218173429 246, 7, 877441867 247, 5081, 105527103139 248, 67, 101, 663893, 502608046943, 668677573093 249, 2^3, 5^3, 13, 17 250, 131, 509 251, 3, 5^3, 11, 17, 421, 395696461 252, 211, 997, 3613, 394213789 253, 2, 3, 167, 90901, 2905031 254, 89, 2269, 18042251, 32984389 255, 23, 463 257, 2^8, 5, 359, 49559, 648258371 258, 13, 17827 259, 173 260, 3, 83, 15263, 27827, 1749229, 6647339, 19148231, 3977977109 261, 2, 43, 71, 257 262, 3, 19, 571 263, 7, 23, 251, 267541, 159838801 264, 7, 61, 176051, 1446587 265, 2^3, 10853 266, 23, 163, 21401 267, 29, 20411, 46926349 268, 5, 13, 101 269, 2, 3^3, 11, 83, 8779, 65684482177 270, 29 271, 3^3, 168629, 16774141, 235558417, 12145092821 272, 3833, 14084849 273, 2^4, 1086731 274, 5, 23, 16631 275, 7, 6323, 134513, 138641, 455471, 40196043527, 279203122727 276, 5, 7, 43, 193 277, 2, 1993, 243547988443 278, 3, 1741 279, 67, 97, 557142359 280, 3, 47, 401 281, 2^3, 3443059 282, 5, 11, 13120561 283, 46301 284, 197, 1103, 9127, 16189, 1601147, 10723208449 285, 2, 5791, 157907 286, 71, 619, 15017, 1016689 287, 3, 653, 967, 10322313269, 405469792823 288, 17, 43, 36979, 376721, 670507 290, 17, 6659, 319811, 273354437 291, 109, 16766930077 292, 19, 43, 887, 941, 3239857 293, 2, 5, 7, 19, 83 294, 356135477, 592538407, 367003576739 295, 7, 47^3, 26249 296, 3^3, 971 297, 2^3, 2480497, 2779225651 298, 3^3, 59, 101, 181, 598421 299, 5, 19, 59, 374893957 300, 37, 59, 29599 301, 2, 5 302, 607, 22621771, 123644663 303, 43, 33873179 304, 305, 2^4, 3, 1149209 306, 73 307, 3, 5^3, 19, 487 308, 521 309, 2 310, 67, 3617 311, 312, 7, 13622501 313, 2^3, 7, 41, 149, 181, 1259389 314, 3, 181, 827, 3143117 315, 13, 257, 1187, 40471, 4767799 316, 3, 13, 51461, 898508623 317, 2, 107, 349, 2227301 318, 5^3, 197, 131959, 11496420743, 69578772701 319, 13, 79, 1439 320, 13121, 27397, 452983, 6818771 321, 2^6, 1401979, 78793807 322, 3307, 4297, 2768017244933 323, 3^4, 11, 291721 325, 2, 3^4, 7^3, 157, 953, 568231, 68992603, 4507000559 326, 5, 1249, 30589393, 302908877 327, 17 328, 139, 911, 1399 329, 2^3, 17, 487068061 330, 227 331, 211, 359, 6134718817 332, 3, 5, 239, 15773 333, 2, 19^3, 31, 3266479 334, 3, 23, 257, 2887182434861 335, 336, 11, 78666481 337, 2^4, 13, 30137417 338, 31, 53 339, 13, 47, 199, 466751783977 340, 173, 641, 115574081561 341, 2, 3, 101 342, 7^3, 17167837 344, 7^3, 55351, 7493623, 102089209 345, 2^3, 463, 8941 346, 499 347, 348, 37, 103, 161561 349, 2, 5, 197, 433, 7499 350, 3^3, 103, 167 351, 5 352, 3^3, 23, 7723, 423017653829 353, 2^5, 8123, 465989, 17283818861 354, 11, 17, 37, 977, 13513, 1336241 355, 356, 37, 113 357, 2, 5, 13 358, 157, 6382723111 359, 3, 23, 307, 24350087 360, 11, 13, 19 362, 7^3, 11, 19, 80233, 1794830107009 363, 4153, 94565579, 1249344562091 364, 11, 17, 1824271 365, 2, 1453, 128587933 366, 11, 36857 367, 43, 2213 368, 3, 5, 73, 21503, 70399321039 369, 2^4, 139, 173, 211, 419 370, 3, 22020497, 66065773 371, 1619, 101113 372, 11, 2687 373, 2, 7, 113 374, 5^3, 7, 29, 31, 27463248607 375, 701 376, 5^3, 12799 377, 2^3, 3^3, 79 378, 41, 1453, 517298279 379, 3^3 380, 83, 109, 12007, 120313541 381, 2, 827, 14449, 16943 382, 5, 97, 1238371 383, 28067251 384, 519488341, 75918457357 385, 2^7, 1548149, 4605659 386, 3, 103 387, 174426871193 388, 3, 31 389, 2, 19, 373, 29569, 211850543 390, 11, 5713733, 15819863 391, 7, 103, 25679, 68903, 6259286339, 11993961787, 311215043773 392, 101, 769, 773, 1553, 883201742719 393, 2^3, 5, 7, 823, 22381, 1845595127527 394, 251 395, 3, 191, 651742019113 396, 1947241, 17344004261 397, 2, 3, 279421, 13315373041 398, 139, 205319 399, 5, 17^3, 23 401, 2^4, 5, 83, 347, 115849 402, 97, 109, 269 403, 11, 43, 373, 1321 404, 3^4, 3659 405, 2, 601 406, 3^4, 53, 216141619 407, 5, 103001 408, 13, 50513 409, 2^3, 34583, 1894600969 410, 7, 109, 239, 653, 11328969257, 19111351313 411, 7, 23, 1367, 25888367 412, 97^3 413, 2, 3, 53, 249745603, 2832308863 414, 31 415, 3, 19, 10337, 107777, 924528047, 1465092947347 416, 29, 181, 6988511 417, 2^5, 101 418, 5, 13^3, 822949 419, 173, 349, 983, 3257, 22891217 420, 17, 181 421, 2, 101, 1483, 350677, 1083982004309 422, 3, 7, 571, 367277, 29170663 423, 7, 17, 19, 43, 1669 424, 3, 5, 37, 43, 131, 3037 425, 2^3, 29, 1097, 64951, 106357, 433703 426, 5, 89, 56861249, 2215508401 427, 13, 547, 577, 1657, 93703, 568689487 428, 6361, 1878059 429, 2, 19, 1381, 2473, 36510613, 12994232161 430, 19, 31, 557, 344621 431, 3^3, 2393, 12755833 432, 5^3, 61, 1680023, 7308036881 433, 2^4, 3^3, 129497, 244403 434, 863, 1831, 63527, 346517902547 435, 436, 193, 30348797, 677213275049 437, 2, 13, 37 438, 47, 71, 6449465131 439, 31, 79, 170899693 440, 3, 7, 31, 797 442, 3, 7, 29417408507 443, 5^4, 3406223 444, 11, 17, 15667, 220688906759 445, 2, 2659, 2753 446, 797, 2687, 8629, 269063 447, 17, 82780601 448, 31, 67, 111121 449, 2^6, 3, 5, 1789 450, 1199923, 9445297441 451, 3, 5, 53, 48869 452, 2141, 94847, 402341, 1454683, 163880093939 453, 2, 1597, 405179 454, 455, 101, 238931257 456, 192037 457, 2^3, 5, 11, 919, 1589513 458, 3^3 459, 7, 14537 460, 3^3, 7, 19, 53, 8819831 461, 2, 1697, 5081 462, 849571, 14532863 463, 1667 464, 73861878877 465, 2^4, 795071 466, 23 467, 3, 29, 743, 7393 468, 5, 17, 9858955373 469, 2, 3, 107 470, 79, 103, 83401 471, 7, 41, 691409 472, 7, 101, 1531, 363047 473, 2^3, 37, 2311 474, 5, 2141, 197699, 16069969 475, 11, 117133 476, 3, 5, 37, 109^3, 337, 401, 5527, 1169759 477, 2, 19, 1576721 478, 3 479, 47, 2833, 500239 480, 8293, 243589 481, 2^5, 11, 54371927, 143432275871 482, 5, 71 483, 11, 1160559731 485, 2, 3^5, 11, 13, 19051 486, 563, 572843 487, 3^5, 11, 23, 41, 1069 488, 13, 19, 1493, 3505277 489, 2^3, 7 490, 4787 491, 7, 79, 661763933, 121261604419 492, 1034239, 211096013 493, 2, 5, 11, 163001522539 494, 3, 37, 4271, 121607, 601961 495, 1522057 496, 3 497, 2^4, 127, 157, 505780258937 498, 61, 1187387, 45525923, 2149153512589 499, 5^3, 109, 81307, 24117560837 500, 53, 109, 157, 49429 501, 2, 5^3, 23, 14890530569, 24112920253 502, 22877, 34318033 503, 3, 17, 229, 659, 6761 504, 67, 229793929 505, 2^3, 3, 41, 463, 297377071847 506, 13, 59 507, 5, 2377, 5153, 363211, 6111681437 508, 7, 13, 1061, 1274084375749, 1311889799369 509, 2, 7, 41, 7215975149 510, 107, 19846129, 175868149, 228490481, 34656130219 511, 11, 4787 513, 2^9, 17, 31^3, 43787 514, 3^3, 22549 515, 101, 2089, 175186789, 2115451213 516, 571 517, 2, 59547517 518, 5, 12650270891 519, 157, 223, 8649842813, 37898634329 520, 7, 36161687 521, 2^3, 3, 7, 31, 53, 8938997 522, 31, 17477, 499292741 523, 3, 9907, 19289 524, 5, 11, 778717 525, 2, 97, 34687, 497557, 2651387 526, 5, 13, 83, 499, 647, 247073, 2394147047 527, 73, 3373 528, 23, 1303, 54467681 530, 3, 13, 23, 5157793 531, 31, 86384479603 532, 3, 5, 179, 62929 533, 2, 283, 417860291 534, 101, 139, 631, 9931 535, 13009, 574477 536, 1619, 556072481, 1240525163 537, 2^3, 43, 5021, 112142108971 538, 7, 17, 2267, 28307 539, 3^3, 101, 172297, 184693, 1178753, 4673137127 540, 7, 17, 41, 9041 541, 2, 3^3 542, 810202662271 543, 5, 313 544, 12527, 24095129 545, 2^5, 11149, 2042119241 546, 547, 31, 1691778551 548, 3, 30949, 256561 549, 2, 5, 10133, 512811707, 481691968193 550, 3, 110619193, 332718585593 551, 5, 1021, 108289, 1254577 552, 89925422513 553, 2^3, 139, 347, 7541, 737291 554, 555, 541, 162203773 556, 197, 617, 19009 557, 2, 3, 5^3, 7, 23, 39829 558, 7, 193, 461, 1621, 65257, 47652991 559, 3, 59, 151, 599, 12613 560, 67, 2671, 5107, 18757, 411823, 712346863 561, 2^4, 135913, 3458677 562, 83, 337, 5229031 563, 18920521 564, 4813, 4388171 565, 2, 11, 782707, 14615527, 362941373 566, 3^4, 326537 567, 67, 101 568, 3^4, 5^3, 373, 1553 569, 2^3, 7, 263, 25359067 570, 7 571, 23, 29, 308383 572, 61, 4049, 29922449, 111170909, 7654073743 573, 2, 31, 283, 50647 574, 5, 29, 61, 2213, 598967 575, 3, 46271, 61169 577, 2^6, 3, 13, 17, 71, 1381277 578, 11, 107747, 205657 579, 17, 199, 1097 580, 239, 57251, 974147, 69722080903 581, 2, 37, 176431, 6924427 582, 5, 37, 151 583, 241, 479, 1889 584, 3, 1447, 69857 585, 2^3, 1327, 1580431 586, 3, 136544960191 587, 7, 13, 31, 22091, 6343317671 588, 43, 599, 292969 589, 2, 7, 17191, 1524529, 3501139 590, 163, 443, 376021, 2239201, 4176404107 591, 419, 8447 592, 23, 51217, 2070323 593, 2^4, 3^3, 5 594, 32485136899 595, 3^3, 19, 88499, 96727678693, 386120172551 596, 11^3, 13, 94327 597, 2, 558793 598, 151, 3571 599, 5, 35771 600, 47, 14582963 601, 2^3, 5, 61 602, 3, 11, 1166849, 37310783 603, 1579, 290512619 604, 3, 11, 79, 157 605, 2, 29, 89 606, 7, 11, 13, 19, 71, 848297, 319155270953 607, 5, 7, 40303229, 22035814429 608, 11, 7759, 664579, 50092921 609, 2^5 610, 611, 3, 18503, 39569 612, 59 613, 2, 3, 4073, 81371669, 18419352383 614, 11, 18234089 615, 83 616, 17, 479, 123001704037 617, 2^3, 101, 1087, 6007 618, 5, 7, 17, 61, 1163, 220169 619, 7, 73, 11682481, 52649183399 620, 3^3, 29, 113, 5861, 81163, 7358177 621, 2, 73, 17609, 963223, 2031264307 622, 3^3, 577, 1193 623, 19^3, 31, 47 624, 5^4, 109, 37199 626, 5^4, 5641 627, 181048811 628, 31 629, 2, 3, 47, 101 630, 67, 163 631, 3, 1787, 5741 632, 5, 11^3, 37, 179, 389, 829 633, 2^3, 71, 4513, 22643, 7329659 634, 800243 635, 8641, 3245689, 12675040709 636, 7, 1270333 637, 2, 547, 1021, 521429, 78225448229 638, 3, 7, 3253 639, 640, 3 641, 2^7, 43, 24481 642, 5302111 643, 5, 17, 307, 859, 460609, 7354807 644, 41, 223, 883 645, 2, 11, 29, 319117, 1350061, 549461839 646, 4136689 647, 3^4, 23, 15266862761 648, 12295820941 649, 2^3, 3^4, 5, 101, 179, 45840199 650, 6211, 2135417656303 651, 5, 29, 105021277 652, 2113, 51059, 524251867, 5269346021 653, 2, 13, 17^3, 19, 1381, 22171, 637699 654, 13, 19 655, 7, 47, 53, 3940249, 54674441 656, 3, 7, 4259, 404890928047 657, 2^4, 5, 13^3, 883, 2899751 658, 3, 242831101 659, 23, 131, 2221, 9161, 65983 660, 19, 43, 3646427 661, 2, 441583073, 462147547073 662, 663, 6961 664, 24223, 245183 665, 2^3, 3, 61 666, 667, 3, 7^3, 199, 839, 4421, 59239 668, 5, 7^3, 19 669, 2, 397, 5857, 482683 670, 83, 52289, 122323, 7267303 671, 5397037 672, 59, 73, 617, 2963, 483251, 880751, 8755297 673, 2^5, 61 674, 3^3, 5 675, 13, 761, 993913 677, 2, 13, 211 678, 37, 23841761 679, 534607, 18514999 680, 2677, 8737, 13125811 681, 2^3, 71, 109, 16088557 682, 5^3, 61, 857, 17934551077 683, 3, 1279 684, 2092667 685, 2, 3, 7^3, 119659261 686, 11, 118163, 283099, 1031483, 85481059, 464136932507 687, 7^3, 103, 199337, 2747873, 36926501 688, 17, 1429, 84391410869 689, 2^4, 6547, 1863787, 24028099019 690, 113 691, 37^3, 509, 1091, 9157, 84131, 10843045487, 312679516579 692, 3 693, 2, 5^3, 561931, 1362299, 112102492193 694, 3, 19, 233 695, 13, 107, 18127, 52667 696, 617 697, 2^3 698, 13 699, 5, 11^3, 13, 23, 67, 73, 398969 700, 67, 3001 701, 2, 3^3, 5 702, 677, 40361, 100213 703, 3^3, 4049, 591377 704, 7^3, 29, 1949 705, 2^6, 7^3, 1019, 3847, 48109, 16130783 706, 23, 27297539, 209941187 707, 5, 89, 317, 22469, 44417, 4728169429 708, 701, 4146409, 51381922303 709, 2, 17, 199, 1663 710, 3, 163, 42834427 711, 73, 163 712, 3, 17, 9463, 476513, 1287467, 2686283 713, 2^3 714, 191, 613 715, 781059256409 716, 7, 552341, 440416759, 5626714979 717, 2, 7, 11, 643, 23917, 1304111, 16621877, 8512494329 718, 5 719, 3, 41, 4414200313 720, 69193 721, 2^4, 3, 19, 379 722, 67, 547, 15607 723, 11, 19, 233, 239, 660658181, 2938943531 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137, 18223 1815, 827, 1291 1816, 11, 83, 101, 10993, 90069434491 1817, 2^3, 3, 39953 1818, 5^3, 11, 73, 7877 1819, 3, 29, 766273, 1193433251 1820, 2551, 3501670391 1821, 2, 127, 829, 9883, 15131, 36709, 71809 1822, 1823, 83044861 1824, 5, 11, 53 1825, 2^5, 538817, 5049911 1826, 3, 5, 22541, 144289 1827, 5261 1828, 3, 109 1829, 2, 41 1830, 43, 525621457 1831, 7, 67, 3251, 85647181 1832, 5, 7, 6719, 967429 1833, 2^3, 19, 71, 3209 1834, 83614807 1835, 3^3 1836, 13, 24460819 1837, 2, 3^3, 13, 107, 16937, 42918427 1838, 1839, 59, 263, 401, 64713785579 1840, 13 1841, 2^4, 419 1842, 11, 23, 37, 1019, 647741 1843, 5, 7, 8807, 25253, 4777781 1844, 3, 7, 17, 911, 93360217 1845, 2, 37, 97738169, 1383065653 1846, 3, 127, 5653 1847, 1848, 43, 3613, 22067, 24986927023 1850, 23, 43, 4373, 74642231, 2641877233, 1308226705987 1851, 5, 182935763, 671765363 1852, 349 1853, 2, 3, 23, 2357 1854, 101, 4703, 324979 1855, 3, 11, 1567, 1247303, 34793767 1856, 5197, 25391, 75995137 1857, 2^6, 5, 67, 4139, 5669 1858, 13, 13907, 7603867 1859, 19, 157, 529046789 1860, 13, 939649, 243665789 1861, 2, 7, 23, 431, 435949, 867143, 2924983, 585825432611 1862, 3^4, 1987, 6823, 59119 1863, 7, 37, 137 1864, 3^4, 54767809, 543659737 1865, 2^3, 17, 37764577 1866, 1867, 19, 3797, 10028545903 1868, 5, 17, 43, 67, 953, 1009, 166908813371 1869, 2, 223, 857, 478394732093 1870, 47, 59, 631, 90833 1871, 3, 173235298889 1872, 29^3, 2731, 46861 1873, 2^4, 3, 19, 97 1874, 5^4, 19 1875, 127, 5703311, 136481143, 63863725463 1876, 5^4, 968766791, 1407195502897 1877, 2 1878, 13, 29, 30212760181 1879, 1880, 3, 7, 541, 1607, 2303303 1881, 2^3, 7, 13, 971 1882, 3, 5, 13, 17489, 1911043 1883, 271, 27337, 558253 1884, 53, 3259, 69075529753 1885, 2, 281, 20047, 18355879 1886, 137 1887, 109961 1888, 41, 2789, 20414437, 11615745259 1889, 2^5, 3^3, 17, 103, 7703, 490741538587 1890, 197, 126477284083 1891, 3^3, 127 1892, 7, 17, 330966550703 1893, 2, 5, 7, 7553971 1894, 367, 250807, 2851097, 607691111, 101842616497 1895, 71, 311, 63211, 25744221053 1896, 11 1897, 2^3 1898, 3, 111271 1899, 5 1900, 3, 881, 59711773351 1901, 2, 5, 113, 255477643 1902, 1459 1903, 29, 8443 1904, 19, 4293269 1905, 2^4, 79, 491, 40609, 12769259 1906, 17519, 318443, 29207681, 127774204001 1907, 3, 5, 281, 2861, 110017, 5227991 1908, 34712569, 436493923871 1909, 2, 3, 11, 3803, 43271467951 1910, 7, 67, 918157 1911, 701, 7080289 1912, 7, 197, 5689, 719063, 720180655163 1913, 2^3, 17 1914, 47, 53, 796455066349 1915, 111317, 739777, 167915444393 1916, 3^3, 3191, 171679, 138611929 1917, 2, 307939 1918, 3^3, 5, 29, 188767, 5267871827 1919, 1920, 16787, 301901, 32330791 1921, 2^7, 19, 23, 31, 379, 526601 1922, 71, 268698517 1923, 31, 59, 7549, 14440793, 653689097531 1924, 5, 43, 58166177, 2380506757, 3087453301 1925, 2, 3, 317, 941, 1478639, 63630765827 1926, 5 1927, 3, 11^3, 43, 199, 277, 3271, 139487857 1928, 6133, 26878601, 3476894237 1929, 2^3, 7, 13, 47, 197, 28154849, 86167603201 1930, 7, 731928895807 1931, 353, 1087, 11251, 15401, 294105677 1932, 5^3, 19, 1451, 23806809113 1933, 2, 11, 227, 251831, 130978447, 2231978166101 1934, 3, 29531 1935, 11, 1291, 2251 1937, 2^4, 11, 307435831, 88386374533 1938, 503 1939, 11, 13, 23, 304867, 778046501, 479347883687 1940, 53, 1063, 37861, 10544647, 57769819 1941, 2, 7, 1123, 86112077 1942, 7, 199 1943, 3^5, 5^3, 229, 5399 1944, 271, 3821 1945, 2^3, 3^5, 11, 263, 482731, 57458243 1946, 23, 227, 241, 421, 165239801 1947, 53, 193, 23087 1948, 13, 17, 107, 6337, 14767, 1587895121, 859068828229 1949, 2, 5, 29, 254747, 4160119, 45136393, 1995932761 1950, 37, 263, 357109, 882439 1951, 5, 37, 1429, 722069, 6656879 1952, 3, 29, 439, 18469407469, 1910602746763 1953, 2^5, 53, 73 1954, 3, 71711, 1214356356443 1955, 328637 1956, 461, 2503213, 9045603907 1957, 2, 5, 179 1958, 13^3, 17, 53, 33071 1959, 7, 601, 13093, 1488847, 6135581 1960, 1961, 2^3, 3, 7, 5732539 1962, 1963, 3, 11^4, 6949 1964, 4438583 1965, 2, 24312987929 1966, 1967, 231529, 1325669, 14464082813 1968, 5, 1181, 3877 1969, 2^4, 149, 91453 1970, 3^3 1971, 1972, 3^3, 3167, 215068079 1973, 2, 131, 223, 21139 1974, 5, 311, 49079351, 235986241 1975, 83, 2281, 319901, 973265333 1976, 5, 11, 59 1977, 2^3, 353, 3259, 6447943 1978, 7, 95507, 910247869 1979, 3, 7, 47 1980, 2927 1981, 2, 3, 126013 1982, 5, 566453 1983, 17, 239, 643 1984, 653, 8887, 3395482543 1985, 2^6, 17^3, 1029481, 1625528581 1986, 23, 6679 1987, 5419 1988, 3, 1151 1989, 2, 233, 46351 1990, 3, 7, 113, 1740359, 8986361, 49679780503 1991, 7 1992, 6763, 12161, 745273, 2019623 1993, 2^3, 5, 257, 1399, 1667, 2011 1994, 41, 67, 9463, 10037, 5634569, 35473877, 289343917 1995, 163 1996, 67, 307 1997, 2, 3^3, 18133 1998, 23, 617, 4003, 128457424967 1999, 3^3, 5^3 2000, 139, 151, 1063, 5197 2001, 2^4, 5^3, 37, 15671 2002, 229, 16386938221 2003, 283, 262747, 569189, 57546362123 2004, 107, 139 2005, 2, 13, 149, 21822037 2006, 3, 13, 251, 1499 2007, 5, 47, 643, 10691, 10577197 2008, 3, 7, 6701 2009, 2^3, 13 2010, 7, 157, 45444271, 13113224767 2011, 32933, 221957 2012, 5669, 42586211497 2013, 2, 52691 2014, 3853, 1103519, 20801932181, 550270366231 2015, 3, 3889 2016, 311 2017, 2^5, 3, 11, 191, 24809366201, 40517803171 2018, 5, 83, 193, 1106629, 2157244228673 2019, 7331 2020, 6373, 9397 2021, 2 2022, 17, 97, 677, 8128949 2023, 4169941 2024, 3^4, 5, 17, 2311 2026, 3^4, 5, 25583, 29663757073 2027, 7, 13 2028, 7, 61, 14170678807 2029, 2, 13, 53, 1997 2030, 11^3, 13061663 2031, 577, 120432119 2032, 5, 2551, 5150838989, 199934717113 2033, 2^4, 3, 64849, 9726576869 2034, 2035, 3, 7446253 2036, 2037, 2, 31, 47, 2203, 5261, 57527 2038, 384049, 18549379, 252797419759 2039, 7^3, 19, 31, 211, 373, 45569, 36840317593 2040, 7^3, 97, 109, 26514043 2041, 2^3 2042, 3, 673, 4451929 2043, 5, 25111 2044, 3, 191, 6361, 64763, 83689, 113909, 558007, 360680987 2045, 2, 199, 1693, 9227, 28619, 18171599, 22717133, 1218997220491 2046, 149, 1151, 58391 2047, 13, 37, 130398227, 104761977259 2049, 2^11, 5, 16004851 2050, 13, 19, 773 2051, 3^3, 5, 13, 197, 149012564359 2052, 211, 2485547, 2492011, 95783557, 38467113599 2053, 2, 3^3, 23, 11430911, 2005365019123 2054, 11, 89, 1001098223, 1116680165933 2055, 331, 177994967 2056, 11, 29, 4890566893 2057, 2^3, 5^5, 7^3, 53 2058, 11, 218801771, 450540737 2059, 7^3, 41, 43, 550843, 32632227767 2060, 3, 11, 37, 61, 439 2061, 2, 17, 61, 137, 353, 14879, 817430377, 12610464677, 3091153730891 2062, 3, 379, 2621 2063, 17, 2671, 1641918209 2064, 2065, 2^4, 2999 2066, 11^4 2067, 19, 31 2068, 5^3, 167, 4813, 14139659, 314238061 2069, 2, 3, 317, 457, 569 2070, 16073, 328421, 938171367719 2071, 3, 379 2072, 53, 257, 373, 53419 2073, 2^3, 1082315153 2074, 5, 23, 2341, 142773091 2075, 2076, 5, 7^3, 59, 2985001, 68893369 2077, 2, 7^3, 59, 241, 499 2078, 3^3, 281, 283, 2351 2079, 431, 503, 30977, 4240849 2080, 3^3 2081, 2^5, 176528344417 2082, 5, 251, 111777637, 1218570724801 2083, 2457347 2084, 11, 557, 5437172047 2085, 2, 5281, 858989, 3205217, 1928909251 2086, 2504737 2087, 3, 641, 744829, 2370703 2088, 7, 17, 23, 79, 574543 2089, 2^3, 3, 7, 47819 2090, 3961987, 164300761 2091, 2092, 73, 79, 11813, 9800779 2093, 2, 5, 47 2094, 27883, 632627, 859681 2095, 97, 239, 353 2096, 3 2097, 2^4, 11, 19, 66133831 2098, 3, 13, 17, 19, 29, 51220963 2099, 5 2100, 293, 1802255627 2101, 2, 5, 199, 269, 6207197 2102, 2103, 61, 151, 2659 2104, 19, 593, 179657 2105, 2^3, 3^4 2106, 7, 37, 173, 148170817, 306016379 2107, 3^4, 5, 29, 3109, 133981 2108, 7, 13, 954167, 448550400703 2109, 2, 661, 12425418751, 15075880321 2110, 43, 1801, 34469 2111, 1705918469 2112, 19 2113, 2^6, 210361, 5869417 2114, 3, 97, 99604627 2115, 23, 5261, 301501903, 334518281 2117, 2, 13, 23, 59, 6047 2118, 5, 251, 352543, 7755300871 2119, 631, 635939, 715377701 2120, 16571167, 39026657, 356776499203 2121, 2^3, 23301487397 2122, 141697, 355939, 711144438041 2123, 3, 79, 2179, 15881 2124, 5^3, 1489, 35353 2125, 2, 3, 7, 43 2126, 5^3, 7, 1229, 991127 2127, 13, 3112009267, 86017295569, 1362708760037 2128, 683, 6279181, 46870361, 3223879543, 44435545733 2129, 2^4, 4345111 2130, 2131, 401, 1277, 2803, 7092497 2132, 3^3, 5, 48523, 4550318879, 449949059537 2133, 2, 17, 568539378403 2134, 3^3, 34571629, 665785091, 1259798269 2135, 103, 239, 45373667, 10296378107 2136, 917591, 52092329 2137, 2^3, 7, 43, 82757 2138, 7, 11, 19, 47, 47911, 2543699, 143969711 2139, 197, 1601 2140, 101, 4321847017 2141, 2, 3, 43, 137, 293, 267913 2142, 47 2143, 3, 5, 29207, 290970625471, 1988317613923 2144, 23 2145, 2^5 2146, 1289, 138079, 3199592603 2147, 2148, 471091, 23039963 2149, 2, 5, 29, 3041 2150, 3, 3491 2151, 5, 11, 31, 37489, 3066348709 2152, 3, 41^3, 43, 448729019 2153, 2^3, 289871, 342521 2154, 17, 53, 67, 83431 2155, 7, 169987, 335591, 429599, 16013969, 41089501 2156, 37, 47, 1439 2157, 2, 5, 7, 17, 31, 37, 469543, 503564287 2158, 23, 101, 3752183 2159, 3^3, 8747, 59895884359 2160, 990239 2161, 2^4, 3^3, 83, 293, 58193 2162, 73, 48630545069 2163, 127, 10789, 286543 2164, 2165, 2, 19, 281, 15313, 81001 2166, 1559 2167, 19, 107, 179, 1951, 74827 2168, 3, 5, 41, 61 2169, 2^3, 11, 1609, 13560731423 2170, 3, 59, 71, 2311 2171, 2172, 89, 127 2173, 2, 733, 72139 2174, 5, 7, 13, 876971 2175, 7, 11, 13, 1627, 3093887 2176, 5, 93084091, 12128599303, 33752770973 2177, 2^7, 3, 11 2178, 13, 17 2179, 3, 11, 23, 7937, 22961, 66949 2180, 2143, 85819, 95019277, 64302672761, 2268329369507 2181, 2, 11, 17 2182, 5^3, 1723, 14243, 308681, 20479609 2183, 1579, 29611, 37441909 2184, 157, 499 2185, 2^3, 12589, 52081 2186, 3^7, 7, 41, 7399057 2188, 3^7 2189, 2, 4909, 5289857, 52923217057 2190, 41, 62351, 10901311, 57018979 2191, 9359491, 731193781 2192, 2193, 2^4, 5^3, 1497312413 2194, 19, 751^3 2195, 3, 107, 563, 1553, 2007273673 2196, 13^3, 41333 2198, 13^3, 73, 101 2199, 5, 73, 9007, 4683187 2200, 2609, 139387 2201, 2^3, 5, 2897, 8419, 136587452503, 224244148993 2202, 17, 65318384323 2203, 61, 4027, 97847, 105813941, 611519849 2204, 3, 7, 78689027 2205, 2, 11, 11131, 61991, 58518891503 2206, 3, 7 2207, 5 2208, 47, 10157393, 211857740821 2210, 43, 47, 277, 220709 2211, 1321, 57961056859 2212, 115877, 8183137693 2213, 2, 3^3, 22258785217 2214, 1291, 1699, 1099140979 2215, 3^3, 7333, 8929, 13187 2216, 13, 43, 67, 2207 2217, 2^3, 3253, 22121821 2218, 5, 11, 93342889, 7549714901 2219, 13, 3755365037 2220, 13, 19 2221, 2, 41, 7481, 101489, 354422053 2222, 3, 2309, 191242759 2223, 7, 228773, 5539398889 2224, 3, 5, 7, 467 2225, 2^4, 50322761 2226, 5, 167 2227, 475776868139 2228, 19 2229, 2 2230, 1573560337 2231, 3, 274341913243 2232, 5, 56179, 6077117, 27029591731 2233, 2^3, 3, 410491, 15068927 2234, 19, 23, 4909 2235, 7, 19 2236, 7, 197, 251, 389749, 2158610593 2237, 2, 17, 1049, 13593675839 2238, 67177541737, 559467113263 2239, 13151 2240, 3^3, 181, 17300863037 2241, 2^6, 33211 2242, 3^3, 6907, 331483920433 2243, 5, 280287641 2244, 37, 105701 2245, 2, 709 2246, 23, 401, 1789 2247, 17, 89 2248, 691, 733, 3508909 2249, 2^3, 3, 5^3, 1331197633 2250, 139, 647, 243473, 7628389, 27543221623 2251, 3, 5^3, 199, 15377, 687122399, 955207261, 10036302719 2252, 43, 97, 10259 2253, 2, 7, 29, 2999, 4493, 5323 2254, 22159, 49481 2255, 7, 31 2256, 29, 173, 313685143 2257, 2^4, 5, 151, 239, 446951, 249317308819 2258, 3, 3168582119293 2259, 11, 11467, 11588009 2260, 3, 31, 241, 373, 160312079 2261, 2, 397, 653, 13860306527 2262, 37^3, 47 2263, 1151, 178117, 17381619223 2264, 101, 4591621, 755234518579 2265, 2^3, 19, 37^3, 5731153 2266, 887 2267, 3^4, 13, 22981247 2268, 5, 5261, 70309013 2269, 2, 3^4, 601, 1123, 1583, 2719, 18289 2270, 5987, 1655661067, 49805922527 2271, 2671 2272, 7, 11, 17, 43, 89, 24421, 23566843, 200578691 2273, 2^5, 7, 43, 67 2274, 5, 17 2275, 281167 2276, 3, 5, 47, 79, 27733408091 2277, 2, 13, 991 2278, 3 2279, 2662117 2280, 47, 1237, 16464577 2281, 2^3, 61, 149, 1667, 2152199829413 2282, 5, 19 2283, 4423 2284, 7, 515777 2285, 2, 3, 7, 168151, 807071, 153735833 2286, 13, 23, 73, 103, 5172227, 8042102171 2287, 3, 29, 1151, 6113, 282847 2288, 53, 4567 2289, 2^4, 71, 1712981 2290, 11, 2731 2291, 181, 613 2292, 20113, 2821985684377 2293, 2, 5, 19, 23 2294, 3^3, 269 2295, 2296, 3^3, 11, 13, 31 2297, 2^3, 162646733 2298, 11 2299, 5, 139, 34631 2300, 11 2301, 2, 5, 37 2302, 7, 11, 29, 373, 1777, 470021, 719131528481 2303, 3 2305, 2^8, 3, 265282741 2306, 3313 2307, 5^3, 134591, 287333 2308, 11, 107, 227, 4993, 314594443 2309, 2, 53, 199, 523 2310, 31, 122436719, 163273289983, 2277431652659 2311, 17, 23 2312, 3, 5003, 18041 2313, 2^3, 17, 2371 2314, 3, 37, 606131 2315, 191533 2316, 68141, 2177677, 94134301 2317, 2 2318, 5^4, 79, 157, 2111, 561896941751 2319, 4032671 2320, 277, 486175206047 2321, 2^4, 3^3, 7, 353, 2089 2322, 7, 2099, 3121, 7741 2323, 3^3 2324, 5, 457, 3073579 2325, 2, 41, 47, 1481 2326, 5, 11, 181, 286034100697, 1232472128243 2327, 29 2328, 86371, 2265772230299 2329, 2^3, 313, 701, 1237, 112247 2330, 3, 55219, 182297 2331, 3547, 249253 2332, 3, 5, 58991, 484777, 444749233, 1661078579 2333, 2, 7, 29 2334, 7, 757 2335, 67 2336, 31, 157, 4391 2337, 2^5, 349, 126719, 1254373, 150041131, 3799486091 2338, 383, 2707 2339, 3, 11, 126961 2340, 1675607 2341, 2, 3, 1787 2342, 557 2343, 5, 13, 139, 2710734578807 2344, 13, 179 2345, 2^3 2346, 35117 2347, 13, 1908826261, 14534850581 2348, 3^4, 5519, 93479 2349, 2, 5, 53, 73 2350, 3^4, 17, 1013, 614773, 301699513 2351, 5, 7, 227, 229, 5557261, 1628328853 2352, 17, 31, 3301 2353, 2^4, 7, 821173, 9073459 2354, 83, 68683 2355, 83, 128747 2356, 127 2357, 2, 3, 5, 1364203, 179093029 2358, 53, 311, 62851, 16819514429 2359, 3, 2790299 2360, 127, 23677, 15469639733 2361, 2^3, 31, 193, 58111, 1084403 2362, 31, 1823 2363, 1682251, 2624623 2364, 107, 9624715081 2365, 2, 13, 419, 1459, 2821909 2366, 3 2367, 13, 173 2368, 3, 5 2369, 2^6, 27259 2370, 7, 31, 409 2371, 7, 23, 241, 2576857, 59287357903 2372, 2373, 2, 12487, 39799 2374, 5^3, 59, 55511 2375, 3^3, 59, 10169, 1527497 2376, 5^3, 59, 4349 2377, 2^3, 3^3, 17, 2578031, 432597293 2378, 1750181, 1644360143 2379, 23, 499, 1217, 20341, 115820987, 1246451617 2380, 11, 743, 6773069 2381, 2, 47 2382, 5, 7^3, 23, 37, 61, 223, 14389, 556613, 30629789 2383, 7^3, 3739, 6133 2384, 3, 37, 2086199 2385, 2^4, 13, 3923 2386, 3, 29, 43, 131, 409, 716713, 6299749, 8448119821 2387, 17, 36479 2388, 13, 1579 2389, 2, 13, 233, 2791 2390, 23, 37 2391, 1609, 234203 2392, 5651, 2925672823 2393, 2^3, 3, 5, 11, 12611, 54787 2394, 283, 113740427, 118677127 2395, 3, 71 2396, 53, 58711, 7371242387 2397, 2, 979403 2398, 101, 4574461 2399, 5, 2083, 12473, 129953, 1978401773 2400, 7^4, 19, 41, 103 2402, 3^3, 7^4, 5669, 19441, 28880573, 48665779 2403, 53, 439, 599, 269663, 164824873, 240784679, 5767022423 2404, 3^3, 179, 197947, 855509341, 20962269397 2405, 2, 3767, 16217, 106391 2406, 4909, 6577, 10193, 15971, 2944390158599 2407, 5 2408, 148469, 662867, 4510307, 283075693, 10866884953 2409, 2^3 2410, 66304489, 220980437 2411, 3, 11, 19, 47, 1933 2412, 495829 2413, 2, 3, 131510857 2414, 37, 139, 15787, 93383 2415, 7243, 313307 2416, 71864201, 1758877577 2417, 2^4, 11, 2371, 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5, 13, 83 5600, 13, 4643, 2459019221, 288064833487 5601, 2^5, 5, 17, 167 5602, 107, 2591 5603, 367, 108293, 154543, 27091694837 5604, 7, 569 5605, 2, 7, 1151, 2917877, 297292357, 48496686299 5606, 3, 11, 1860343 5607, 5, 347, 1023416417 5608, 3, 149, 5535281, 259108579, 203718449423 5609, 2^3, 157, 2179 5610, 67, 3329, 33549258497 5611, 233 5612, 1951, 62739023, 9585225983 5613, 2, 12511, 61484327 5614, 163, 269, 29023 5615, 3^3, 3371, 10828297 5616, 7 5617, 2^4, 3^3, 7, 29, 53, 355178561, 206559707831 5618, 5, 71, 953, 74051921, 1452272303 5619, 53, 3863, 7232261, 186793219 5620, 29, 163, 1697 5621, 2, 31, 1129, 146224307 5622, 17, 43, 907, 1039, 1321, 7219, 19489 5623, 883739, 5046101, 21021773, 2623424842849 5624, 3, 5^4, 23, 1090819, 41358144067 5626, 3, 5^4, 229, 14410093, 50444453 5627, 457 5628, 761, 117899 5629, 2, 9250609, 269752037 5630, 211, 619 5631, 5736409379 5632, 5, 127, 21773 5633, 2^9, 3, 41579, 21789721867 5634, 7, 503, 1401623 5635, 3, 73, 12107, 536147 5636, 7, 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2855184733697 9610, 13, 61, 30407887, 182885580847 9611, 3^3, 13, 31, 3717664487 9612, 17, 43, 107, 991, 2213, 622734391 9613, 2, 3^3 9614, 13 9615, 41, 13187, 39119, 189166949 9616, 1549, 2132267 9617, 2^4 9618, 5, 43789, 76157, 4933601, 71531364119 9619, 24247, 6319037 9620, 3, 19, 334326916229 9621, 2, 15331, 58647157, 70006913 9622, 3, 7^3, 181, 757, 408661157 9623, 7^3, 233, 7503388441, 334729063309 9624, 5^3, 1549, 52817 9625, 2^3, 29 9626, 5^3, 73, 1039, 1237, 476891, 991657237 9627, 1091 9628, 727, 15413 9629, 2, 3, 1715991126271 9630, 55931, 130992481 9631, 3, 19, 463, 5087 9632, 5, 13, 208147, 329009749 9633, 2^5, 885612031 9634, 7, 13, 59, 101, 991, 178793 9635, 7, 97, 49927, 3311969669 9636, 1889039 9637, 2, 59 9638, 3^4, 59, 586499, 19674527 9639, 21756671 9640, 3^4, 11, 23, 227, 4483, 45491, 42900709, 8151920317 9641, 2^3, 135131 9642, 366727 9643, 5, 277, 78941, 92333, 219119 9644, 71, 79, 127, 43291 9645, 2, 61, 6992059, 634116359 9646, 318173 9647, 3, 17, 60314833 9648, 19, 43 9649, 2^4, 3, 5, 3121, 10009 9650, 53, 107, 4951757, 965966321, 786174269407 9651, 5, 347, 4006422947 9652, 7, 13, 23 9653, 2, 11, 13121, 252919, 77430047 9654, 7 9655, 13, 137, 143162599 9656, 3, 13, 2406529, 19074156649 9657, 2^3, 5, 227, 1873360301 9658, 3, 22879424329 9659, 37, 30029, 260191, 24390926303 9660, 241 9661, 2, 111873217 9662, 101, 3250993, 5544101, 87323347 9663, 9664, 9665, 2^6, 3^3 9666, 821, 3779, 5731591, 239965863601 9667, 3^3, 29, 101, 561839 9668, 5, 17^3, 43, 428011710221 9669, 2, 43, 43793, 133217951 9670, 299005331, 506936234213 9671, 7, 11, 17, 2917, 9281, 388159, 23583761 9672, 7, 107, 55147, 90476401 9673, 2^3 9674, 3, 5, 677, 1443859, 12593179 9675, 1776583836233 9676, 3, 5, 29, 117437, 998419 9677, 2, 11, 67, 113, 8971, 38429023, 6497609057, 8848213013, 76759955329 9678, 19^3, 67 9679, 11, 19^3, 13121, 22391 9680, 6577 9681, 2^4, 11 9682, 5^3, 2729, 161826109 9683, 3, 7, 11, 359, 45006263 9684, 7, 451837, 607813, 1596560282407 9685, 2, 3, 19, 348058771 9686, 89, 101, 1721, 68899, 810553819 9687, 251, 4844101 9688, 97 9689, 2^3, 11, 35747, 3029447, 11075191 9690, 151, 233, 58967, 82237843 9691, 1078589 9692, 3^3, 17, 23, 61253 9693, 2, 5^3, 19^3, 117619 9694, 3^3, 23687, 41414219731, 162489501457 9695, 17, 317, 328325903, 836176007 9696, 6067, 829687, 900161, 82052543, 391258941173 9697, 2^5, 1231264051 9698, 22486319 9699, 5, 23 9700, 37, 67 9701, 2, 3, 5, 7, 103, 5281, 7759877 9702, 49927 9703, 3, 7, 13, 47 9704, 1953740029, 2745801011 9705, 2^3, 637113365309 9706, 236021, 5119811 9707, 5, 11, 859 9708, 41 9709, 2, 1607 9710, 3, 47, 201139, 170792357, 404154001 9711, 178753 9712, 3, 33029, 4046657, 1333253591 9713, 2^4, 13, 269, 14717501 9714, 9715, 117340306351 9716, 17 9717, 2, 23, 509, 135787 9718, 5, 29, 4657, 20441, 79087 9719, 3^5, 19 9720, 7, 11, 461, 3527, 65171, 66113911 9721, 2^3, 3^5, 7, 1619507 9722, 13, 137 9723, 61, 4457, 11811433 9724, 5, 1229663 9725, 2, 31, 491, 228581, 113700007 9726, 5, 30391, 82231, 2085528942661 9727, 31, 116293, 81511681 9728, 3, 1231 9729, 2^9, 101, 28559 9730, 3, 131 9731, 3583, 202751, 54190153 9732, 5, 7, 13, 735193, 52014857689 9733, 2, 7, 13883, 19242757, 441722881 9734, 557, 306154337, 426881867, 410326700401 9735, 73 9736, 239, 607314577 9737, 2^3, 3, 67410419 9738, 579858467 9739, 3 9740, 113, 65519, 725939, 161787761 9741, 2, 6917, 16519, 17333 9742, 983, 916613, 112792921 9743, 5, 79, 121734577919 9744, 7573, 13159, 13241 9745, 2^4, 229 9746, 3^3, 19, 101, 150001 9747, 32723153, 97280959 9748, 3^3, 19, 167, 78391741 9749, 2, 5^3 9750, 7, 245177 9751, 5^3, 17, 503 9752, 7, 1283, 286347710119 9753, 2^3 9754, 484577, 1998172439 9755, 3, 31, 222885191, 1399314880501 9756, 9757, 2, 3, 5, 12764831 9758, 2643629, 1687952447627 9759, 1361, 254375472707, 363529800629 9760, 9761, 2^5, 11, 17, 4799, 1209587, 1916659647787 9762, 383, 32099917 9763, 9764, 3, 131, 2179, 1345913 9765, 2, 98873 9766, 3, 64906693 9767, 79, 404269, 665351, 1751578781, 306871823327 9768, 5, 53, 7001, 157427 9769, 2^3, 7, 751 9770, 7 9771, 59, 9437 9772, 1523, 48539, 1139779 9773, 2, 3^3, 41, 9941, 27494773 9774, 5, 11, 1933, 8466713 9775, 3^3, 19, 271, 557, 8620841 9776, 5, 523, 123059 9777, 2^4, 23, 3343, 3072449, 4068756061 9778, 332365001849 9779, 13, 10589, 23431 9780, 13, 101, 1151, 300499 9781, 2, 7 9782, 3, 5, 7, 43, 523 9783, 13, 138371371 9784, 3, 101, 525671 9785, 2^3, 23, 487, 17839, 642467607421 9786, 17, 3296473 9787, 499, 172171 9788, 17, 23, 24800090339 9789, 2 9790, 232433083, 331457671 9791, 3, 97, 14551, 18859201 9792, 11, 277 9793, 2^6, 3, 5, 53, 191, 47521, 21379375999 9794, 9795, 21967511, 13124640479 9796, 23, 71, 38183 9797, 2, 739493, 159802541, 42799454993 9798, 11, 2467 9799, 5, 7, 627379695871 9800, 3^4, 11 9802, 3^4, 11 9803, 13, 523, 1366763 9804, 11, 7351, 246707, 232993853 9805, 2, 1580521, 220952657 9806, 163, 223, 1321604296687 9807, 5^3, 3517, 5393, 2174483 9808, 9809, 2^4, 3, 19, 101, 131543 9810, 11, 113, 127 9811, 3, 97, 2101091 9812, 9813, 2, 179, 1322611 9814, 392488351 9815, 19, 5101, 43688329913, 126751432267 9816, 19, 601, 175110073 9817, 2^3, 199, 787 9818, 3, 5^4, 7, 191, 277, 6494261 9819, 7 9820, 3, 2423, 11114849, 11652829 9821, 2, 13, 71, 97, 1193, 80957237, 1229934737323 9822, 29, 32286450233 9823, 36319 9824, 5, 13^3, 61, 53993281 9825, 2^5, 13^3, 17^3, 29, 151, 719 9826, 5, 3499 9827, 3^3, 17^3, 9241, 34469, 6276073, 939877259 9828, 11, 199, 313, 4391 9829, 2, 3^3 9830, 7 9831, 7, 59, 3104221 9832, 5, 577, 7360883357 9833, 2^3, 43, 503 9834, 9835, 173, 2549 9836, 3 9837, 2, 11171, 565025599 9838, 3, 10804603, 77175781 9839, 31, 13514598733 9840, 1303, 28277 9841, 2^4, 11, 109, 227, 6373, 11681, 692581, 1546109423 9842, 31683193 9843, 5, 293, 3012594173, 145348582787 9844, 2789687377, 1517316456391 9845, 2, 3, 31, 13103, 1095254653, 1955694421 9846, 19, 373, 7541, 17497 9847, 3, 259691 9848, 7, 269, 1307100083, 532145211187 9849, 2^3, 5, 383, 503, 1361, 567004411, 826862191 9850, 7, 173, 1355423167963, 2190881419267 9851, 5, 1163, 1723 9852, 7540850179 9853, 2, 67 9854, 3^3 9855, 1601, 5641, 578935481, 54535849759 9856, 3^3, 23, 29 9857, 2^7, 5 9858, 1087, 3457, 4889 9859, 71, 2985881 9860, 61, 101 9861, 2 9862, 121843 9863, 3, 19, 701, 2803, 666979 9864, 17, 266219999 9865, 2^3, 3, 1274834003, 15900970733 9866, 17, 329867, 23019421 9867, 7, 479, 827, 277585111 9868, 5, 7, 1158683, 78939607039 9869, 2, 2017, 4229 9870, 53, 359, 6691 9871, 29 9872, 3, 13, 73 9873, 2^4, 149, 35839, 1097641291 9874, 3, 5^3, 19, 23, 1462463, 5386981 9875, 67, 1097, 4297, 7369, 587677, 8642107 9876, 5^3, 2900587, 143896539497 9877, 2, 601, 4973, 9473, 28537, 1408587735157 9878, 47, 2657, 5779913 9879, 7, 41, 107 9880, 7 9881, 2^3, 3^4, 23 9882, 5, 11, 13, 73 9883, 3^4, 37, 30853, 483209, 815053 9884, 59 9885, 2, 10181, 155201 9886, 43, 9243887 9887, 463, 1626337 9888, 73, 365489 9889, 2^5, 79, 2347, 49831, 16478863, 317640293, 96882967213 9890, 3, 1399, 135281, 56502352411 9891, 13, 17, 5083733, 534836693 9892, 3 9893, 2, 5, 271, 14549, 23373463 9894, 181 9895, 11, 53, 575777771 9896, 29 9897, 2^3, 7 9898, 997, 15877, 339257 9899, 3, 5, 7, 281, 907 9900, 47, 1423, 11897 9901, 2, 3, 5, 13, 17, 8703151, 38257543 9902, 29, 167 9903, 101, 629807, 97729397 9904, 28607, 1377491, 272107797121 9905, 2^4, 43, 541, 17053, 346649, 70102947461 9906, 2953 9907, 5, 37, 217960931 9908, 3^3, 184273 9909, 2, 9371, 17029 9910, 3^3, 25643, 26113 9911, 9912, 364891, 439037917 9913, 2^3, 11^3, 14657, 45544069 9914, 415037837 9915, 379, 1019, 108425029 9916, 7, 46864451 9917, 2, 3, 7, 11393, 1349546941 9918, 5, 137251, 2836070076557 9919, 3, 11, 84417065771 9920, 9921, 2^6, 11, 23, 47, 4138506529, 260465249021, 685286715959 9922, 103, 10588615771 9923, 11, 219391387 9924, 5, 47, 73, 317 9925, 2, 11 9926, 3, 5, 61 9927, 83, 163372751 9928, 3, 7^3, 151, 937, 1153, 6551, 11953 9929, 2^3, 7^3 9930, 313, 443 9931, 11, 37, 227, 233 9932, 5^3, 461635847 9933, 2, 23, 101, 6367 9934, 97, 66169, 524683, 2031276697, 1488632067217 9935, 3^3, 191 9936, 17, 263 9937, 2^4, 3^3, 37, 59, 6803, 266829247 9938, 41 9939, 37 9940, 977, 3179873 9941, 2, 14194693 9942, 9943, 5^3, 31 9944, 3 9945, 2^3, 211, 76207 9946, 3, 7^3, 126555617 9947, 73, 683386819 9948, 7^3, 13^3, 31, 34265909, 86828255071 9949, 2, 5, 11^3, 13^3, 4591, 5483 9950, 60161, 430427 9951, 5 9952, 13, 1361 9953, 2^5, 3, 101 9954, 1061, 163223, 333551302031 9955, 3, 29, 363731233 9956, 116198014021 9957, 2, 5, 17, 47, 2923903, 16569551 9958, 3413, 102760193, 714976793, 22810364351 9959, 73, 1489, 3853, 17333, 125231026423 9960, 17, 47 9961, 2^3, 71 9962, 3^5, 11, 421, 3371 9963, 35537, 1071301213 9964, 3^5, 1091, 16042447 9965, 2, 7^3, 197, 1360908751 9966, 7^3, 4079, 57653, 154243 9967, 1987, 68572963 9968, 5, 5276093 9969, 2^4, 2207, 169831 9970, 13, 8007218077 9971, 3, 1213153 9972, 13, 107 9973, 2, 3, 79 9974, 5, 149 9975, 89, 251 9976, 5, 11317, 202121 9977, 2^3, 7, 139, 63629, 181609 9978, 7, 349, 1161276373 9979, 250489 9980, 3, 1739473 9981, 2, 17, 19, 47, 2689, 13314714031 9982, 3, 5, 1051, 8039 9983, 239, 467, 13499, 114989851 9984, 17^3, 31 9985, 2^8 9986, 73, 21041543, 205699056229 9987, 773, 93719, 2477743, 2863697, 210053017 9988, 23 9989, 2, 3^3, 4723, 246209733821 9990, 13, 11119 9991, 3^3, 1289 9992, 19, 821, 12921465709 9993, 2^3, 5, 13, 4783, 31237, 766333, 865952639, 265466158337 9994, 13, 23819, 26713, 392887097, 923101939 9995, 7, 6653, 20717 9996, 72461 9997, 2, 7, 15973 9998, 3, 31 9999, 5^4, 25763597 10001, 2^4, 5^4, 131, 233, 719, 203221, 95593241 10002, 269, 23741, 47905733 10003, 11, 47 10004, 91031267 10005, 2, 17, 293 10006, 34057 10007, 3, 5, 37, 2917, 35753 10008, 10009, 2^3, 3, 19, 23, 43, 1116050797, 2049931423, 128320252987 10010, 557, 2699, 2729, 9551, 16487101 10011, 7589, 5440586297, 1240690523879 10012, 234893 10013, 2, 53, 9967, 488441, 1546061131 10014, 7 10015, 7, 397, 303651997087 10016, 3^3, 11^3, 6554952757 10017, 2^5, 79, 14108201, 780729390787 10018, 3^3, 5, 1580628769 10019, 91781 10020, 37, 101, 49603 10021, 2, 3461, 20025911 10022, 5473046753 10023, 23, 349 10024, 5, 31, 39396726923 10025, 2^3, 3, 211, 22937515193 10026, 5, 7, 1453657847 10027, 3, 7 10028, 197, 1087 10029, 2, 29, 149689, 1117199 10030, 10031, 71947 10032, 5, 29, 7549, 56909 10033, 2^4, 577331, 3792443 10034, 3, 11, 317836681159 10035, 41, 277, 58027, 6306262861 10036, 3, 1811, 9431, 2915557, 439879107737 10037, 2, 73, 8093, 241793 10038, 1348573, 2788623311 10039, 19, 73, 278981, 13811418977 10040, 11, 17, 19, 31, 79, 613, 7559, 56909, 24292354519 10041, 2^3, 13, 139 10042, 11, 3650849 10043, 3^4, 5, 157, 182296427 10044, 7, 11, 205427, 985259512877 10045, 2, 3^4, 3340577 10046, 7, 11, 19, 443, 16314028261, 248930445871 10047, 61 10048, 1039, 114329, 6252923801 10049, 2^6, 5, 31 10050, 17, 23, 31, 334549 10051, 5, 13, 29, 6301 10052, 3, 11^3, 23, 199 10053, 2, 109, 863, 1321, 1459, 6483721, 655837213, 16178610629 10054, 3, 19, 55961109899 10055, 1423, 1583 10056, 37, 67, 71, 838561, 387576311 10057, 2^3, 5^3 10058, 31, 157, 347, 630823, 1174793 10059, 37, 59748379 10060, 13, 1181923 10061, 2, 3, 251, 80831 10062, 2543 10063, 3, 7, 126967 10064, 7, 83, 659, 1274209, 569716159319 10065, 2^4, 107, 1109, 1327, 1789, 2651665123693 10066, 10067, 241, 797 10068, 5^3, 126818171 10069, 2, 31768573 10070, 3^3, 11, 13, 83, 571, 21023 10071, 71, 503, 3527, 27479, 239441 10072, 3^3, 4649 10073, 2^3, 271, 283 10074, 5, 16618663, 168911789 10075, 7, 17, 151 10076, 5, 7, 15131, 90907 10077, 2, 17, 37, 22621 10078, 29, 567186693653 10079, 3, 23, 114661 10080, 19, 653, 368196767 10081, 2^5, 3, 71, 4411454951 10082, 5, 5480213 10083, 11, 53, 71 10084, 61 10085, 2, 41, 193, 1481, 3839750557 10086, 10087, 41, 421, 1361 10088, 3, 239, 6263906321 10089, 2^3, 541, 12829 10090, 3, 233, 2753 10091, 29, 3203, 466673 10092, 887, 6073 10093, 2, 5, 7, 23, 29, 71, 89, 185849 10094, 83, 211, 41269 10095, 7, 411937 10096, 40099 10097, 2^4, 3^3, 281, 348163 10098, 193, 223860176569 10099, 3^3, 5, 67, 8157077 10100, 98658683 10101, 2, 5, 191, 13151 10102, 16697951 10103, 3109, 338857 10104, 5520005753 10105, 2^3 10106, 3, 29, 245679567043 10107, 5, 19 10108, 3, 71, 8443, 863558237, 118074984823 10109, 2, 19, 17539, 28879, 96432439669 10110, 6857, 13033 10111, 461, 8089, 13883, 105988925209 10112, 7, 9277 10113, 2^7, 7 10114, 17, 23, 398207 10115, 3, 109 10116, 17, 53, 41549, 871733517307 10117, 2, 3, 13, 251, 208387, 23661311 10118, 5, 13, 12959 10119, 167, 420361537 10120, 10121, 2^3, 13 10122, 373, 37574791451 10123, 31, 5656249853 10124, 3^4, 5^3, 7, 11, 17791 10125, 2, 7, 17093, 123151337 Extreme Nähe (Auswahl): Basis: 4701 P: 1777 Basis: 4702 P: 1777 Basis: 7215 P: 1847 Basis: 7216 P: 1847 Basis: 1187 P: 54167 Basis: 1187 P: 55079 Basis: 1187 P: 69401 Basis: 3863 P: 104953 Basis: 3863 P: 105761 Basis: 1327 P: 145253 Basis: 2811 P: 145253 Basis: 7124 P: 145253 Basis: 5002 P: 1609367 Basis: 6126 P: 1609367 Basis: 5228 P: 1663873 Basis: 6472 P: 1663877 Basis: 7880 P: 2294141 Basis: 8107 P: 2294141 Basis: 2052 P: 2485547 Basis: 2052 P: 2492011 Basis: 8963 P: 3087961 Basis: 6773 P: 3087971 Basis: 3623 P: 10639931 Basis: 3623 P: 10797289 Basis: 9820 P: 11114849 Basis: 9820 P: 11652829 Basis: 8072 P: 12742151 Basis: 9233 P: 12742153 Basis: 3433 P: 17830723 Basis: 3433 P: 18080059 Basis: 6277 P: 23073683 Basis: 3120 P: 23073697 Basis: 8563 P: 71409343 Basis: 8563 P: 73693049 Basis: 1604 P: 101765749 Basis: 4717 P: 101765749 Basis: 2394 P: 113740427 Basis: 2394 P: 118677127 Basis: 1543 P: 282342259 Basis: 2543 P: 282346313 Basis: 7364 P: 439354009 Basis: 7364 P: 444313393 Basis: 4241 P: 647078323 Basis: 4241 P: 647942797 Basis: 8246 P: 1219717907 Basis: 8246 P: 1243763711 Basis: 6065 P: 3258225521 Basis: 6067 P: 3259250107 Basis: 6990 P: 8798800529 Basis: 3419 P: 8798821271 Basis: 4657 P: 8736065729 Basis: 4657 P: 9072521543 Basis: 3252 P: 9726539237 Basis: 2033 P: 9726576869 basis: 3210 P: 10972471661 Basis: 7401 P: 10972516069 Basis: 1664 P: 21633366791 Basis: 1664 P: 22437122093 Basis: 501 P: 24112920253 Basis: 499 P: 24117560837 Basis: 220 P: 32376410527 Basis: 220 P: 34816906301 Basis: 7160 P: 35108917093 Basis: 7160 P: 36606631891 Basis: 1668 P: 37898405203 Basis: 519 P: 37898634329 Basis: 8234 P: 48147853079 Basis: 8234 P: 49564690471 Basis: 7200 P: 70397095843 Basis: 368 P: 70399321039 Basis: 7702 P: 92830574377 Basis: 7702 P: 93550268209 Basis: 4816 P: 122490531011 Basis: 814 P: 122493320143 Basis: 8158 P: 114225575747 Basis: 8158 P: 123361603363 Basis: 803 P: 222216074029 Basis: 1645 P: 222222773323 Basis: 4451 P: 255584551553 Basis: 5736 P: 255593183467 Basis: 7852 P: 262939535321 Basis: 8564 P: 262939674031 Basis: 1131 P: 276911585009 Basis: 1131 P: 296001588689 Basis: 9461 P: 298069561501 Basis: 4744 P: 298088048917 Basis: 8117 P: 404824295269 Basis: 5787 P: 404832104749 Basis: 4552 P: 471558615727 Basis: 4552 P: 483297303133 Basis: 5577 P: 485606723831 Basis: 5577 P: 485994151561 Basis: 4124 P: 504498832169 Basis: 7927 P: 504500378099 Basis: 7874 P: 527222879663 Basis: 7877 P: 529850079383 Basis: 8521 P: 522708051857 Basis: 8521 P: 551362258487 Basis: 3368 P: 637102181983 Basis: 9705 P: 637113365309 Basis: 1458 P: 682621781843 Basis: 3700 P: 685888722461 Basis: 1457 P: 685891295431 Basis: 1315 P: 689134925209 Basis: 9277 P: 689140261499 Basis: 1292 P: 780722543981 Basis: 10017 P: 780729390787 Basis: 1475 P: 793214299079 Basis: 6481 P: 793214324801 Basis: 6129 P: 1102484554313 Basis: 2846 P: 1102525761719 Basis: 8396 P: 1151102908789 Basis: 6218 P: 1151155368367 Basis: 3626 P: 1207468824823 Basis: 3628 P: 1218545871259 Basis: 9821 P: 1229934737323 Basis: 4200 P: 1229971202611 Basis: 508 P: 1274084375749 Basis: 508 P: 1311889799369 Basis: 9850 P: 1355423167963 Basis: 8105 P: 1355468196799 Basis: 8928 P: 1641186478843 Basis: 4466 P: 1641193385603 Basis: 8611 P: 1655009168971 Basis: 8611 P: 1740536825917 Basis: 9450 P: 2438693408743 Basis: 6359 P: 2438720252923 Basis: 3250 P: 2798038321867 Primbasis: 5869 P: 2798077034063 Primbasis: 6947 P: 2798255058163 Vergleich zu meinen berechneten Erwartungswerten (expectation values) bei P^2 Fehler = (Ist - Erwartungswert) / Wurzel(Erwartungswert) Error = (effective - expectation) / Sqrt(expectation) 10000 Basen von 2 bis 10125 von bis Erwartungswert Ist Fehler 10^2 10^3 3902 3848 -0.9 10^3 10^4 2846 2911 +1.2 10^4 10^5 2222 2121 -2.1 10^5 10^6 1821 1797 -0.6 10^6 10^7 1541 1497 -1.1 10^7 10^8 1335 1282 -1.5 10^8 10^9 1178 1221 +1.3 10^9 10^10 1054 997 -1.8 10^10 10^11 953.1 973 +0.6 10^11 10^12 870.1 908 +1.3 10^12 3.2E+12 412.3 415 +0.1 02.01.2025 Richard Fischer