Generalized Hyper-Woodall primes form k^n*n^k-1, k>n What's new: 7/18/2020 Cadigan checked bases 512 through 1024 up to k=20000, and found the following primes: 13814^525*525^13814-1 19928^541*541^19928-1 11802^557*557^11802-1 18668^569*569^18668-1 11241^572*572^11241-1 15303^572*572^15303-1 10028^579*579^10028-1 14551^594*594^14551-1 15729^598*598^15729-1 10857^620*620^10857-1 18173^632*632^18173-1 12799^648*648^12799-1 18782^649*649^18782-1 12684^653*653^12684-1 17735^656*656^17735-1 12378^661*661^12378-1 12225^668*668^12225-1 11044^681*681^11044-1 15677^698*698^15677-1 18542^701*701^18542-1 16061^704*704^16061-1 14712^733*733^14712-1 15218^739*739^15218-1 14223^740*740^14223-1 13583^746*746^13583-1 11562^751*751^11562-1 10945^764*764^10945-1 15746^765*765^15746-1 11006^777*777^11006-1 12563^780*780^12563-1 19249^798*798^19249-1 10940^799*799^10940-1 11152^801*801^11152-1 15857^804*804^15857-1 19723^804*804^19723-1 15966^827*827^15966-1 15024^847*847^15024-1 17899^852*852^17899-1 10841^884*884^10841-1 17346^907*907^17346-1 13329^910*910^13329-1 13928^955*955^13928-1 12377^966*966^12377-1 17822^975*975^17822-1 15507^982*982^15507-1 10802^991*991^10802-1 13107^1004*1004^13107-1 10964^1021*1021^10964-1 9/29/2017 Cadigan checked bases 1024 through 2048 from 5000 to 10000 11/22/11 Burt reserves base 7 from 20000 through 100000. 6/21/9 Cadigan reports that he has completed searching bases 128 through 512 up to 20000. 1/27/9 Cadigan reports bases 1025 through 2048 checked 3000 to 5000. All bases <240 now checked to 5000. Lots of new primes! 1/11/9 Cadigan reports bases 25 through 128 checked 10000 to 20000; and bases 567 through 1024 checked 3000 to 10000; and many primes found! 12/1/8 De Troia reports base 201 checked to 60000; base 6869 checked to 40000, reserves base 204 to 60000. 9/8/8 De Troia reports 31430^201*201^31430-1, reserves base 201 to 40000. 9/1/8 De Troia reports 24124^201*201^24124-1, reserves base 201 to 30000. 1/28/8 Blazek reports base 2 double checked to 100000, base 3 checked to 100000, found 44780^3*3^44780-1. 10/13/7 Platzer reports 21444^5*5^21444-1 found. 1/2/7 Brown reports 4000 to 4100 were searched through 20000; and 5000 to 5010 through 6000. 1/10/5 Cadigan reports completing bases 2 through 566 to 10000, many new primes found. 8/18/4 Cadigan reports no new primes for bases 8, 9, 10, 11, 12, 15, 17 up to 20000; & base 13 to 20000 found 15966 & base 14 to 20000 found 19519; & base 18 to 20000 found 17843. 8/11/4 Cadigan reports no new primes for base 7 up to 20000. 8/10/4 Cadigan reports no new primes for base 6 up to 20000. 8/3/4 Cadigan reports no new primes for base 5 up to 20000. 8/2/4 Cadigan reports no primes in the range 10000 to 20000 for base 24, reserves bases 5 through 8 to 20000. 7/26/4 Cadigan completes bases 17, 19, 20, 24, & 25 to 10000, finds 4655^24*24^4655-1, 4566^25*25^4566-1, 4417^20*20^4417-1, 7819^20*20^7819-1, 8677^20*20^8677-1, 8971^20*20^8971-1, reserves base 24 to 20000. 7/23/4 Tyler Cadigan finds 5381^12*12^5381-1 & 9733^12*12^9733-1 prime, completes bases 10 through 15 to 10000, & reserves base 17 to 10000. 7/20/4 Tyler Cadigan reports base 18 checked to 10000, finds 4213^18*18^4213-1 prime & reserves bases 10 through 15 to 10000. 1/26/4 Marcin Lipinski reserves base 11 to 50000. 1/5/4 News! Ian Brown reports no primes for base 2 in the range of 100000 to 200000. all n less than 128 searched to 20000 all n less than 1024 searched to 10000 all n less than 2048 searched to 5000. Thanks again to Rodenkirch's multisieve! n k 2 3, 7, 25, 41, 45, 63, 83, 131, 147, 175, 425, 449, 469, 651, 1345, 1839, 1883, 1913, 2177, 2551, 2907, 3675, 6071, 11743, 14641(Brown), 38685(Brown, 8/02), 40857(Brown, 8/02), 47761(Brown, 8/02), 97243(Kazuyoshi, p14, 2001)[200000] 3 32, 44, 46, 106, 148, 428, 890, 4040, 8780, 12400, 12944, 18290(Brown, 4/03),44780(Blazek 1/08) [100000] 4 [100000] 5 54, 884, 21444 [21444?] 6 17, 97, 1427, 1975 [20000] 7 44, 72, 288, 1718, 1892, 5624 [20000] reserved Burt to 100000 8 21, 89, 415, 4667, 8503, 11793, 12383 [20000] 9 688, 8954 [20000] 10 267 [20000] 11 20, 122, 1040, 2784 [20000] 12 17, 1205, 2293, 5381, 9733 [20000] 13 32, 72, 632, 15966(Cadigan 8/17/4) [20000] 14 31, 69, 345, 439, 639, 739, 19519(Cadigan 8/17/4) [20000] 15 34, 1004 [20000] 17 122, 192, 420 [20000] 18 19, 23, 49, 2197, 2275, 2641, 4213(Cadigan 7/4/4), 17843(Cadigan 8/17/4) [20000] 19 80, 660, 824, 830 [20000] 20 2399, 4417, 7819, 8677, 8971 [20000] 24 125, 211, 791, 4655 [20000] 25 62, 258, 2582, 4566 [20000] 26 33, 165, 255, 1155, 7667(Cadigan 1/10/5) [20000] 28 93 [20000] 30 623, 1489 [20000] 32 419, 597, 1011, 1255, 1259 [20000] 33 70 [20000] 34 4581(Cadigan 1/10/5) [20000] 35 96, 656 [20000] 37 482, 3464(Cadigan 1/10/5) 38 441(Cadigan 1/10/5) [20000] 39 734, 1340 [20000] 40 621, 17151(Cadigan 1/9) [20000] 41 170 [20000] 42 1325 [20000] 43 2126 [20000] 44 1165, 6203(Cadigan 1/10/5) [20000] 46 135 [20000] 47 342, 446 [20000] 48 4753(Cadigan 1/10/5),19765(Cadigan 1/9) [20000] 53 10538(Cadigan 1/9) [20000] 54 181, 11905(Cadigan 1/9) [20000] 57 286, 292 [20000] 59 584, 15704(Cadigan 1/9) [20000] 60 107, 113, 2191 [20000] 61 272 [20000] 62 689, 1827, 19161(Cadigan 1/9) [20000] 63 110 [20000] 68 1213 [20000] 69 13870(Cadigan 1/9) [20000] 71 480 [20000] 72 511, 523, 653 [20000] 73 98 [20000] 74 3161(Cadigan 1/10/5) [20000] 76 225, 7185(Cadigan 1/10/5) [20000] 79 180, 13002(Cadigan 1/9) [20000] 80 607, 9671(Cadigan 1/10/5) [20000] 81 778 [20000] 82 2139 [20000] 84 6437(Cadigan 1/10/5) [20000] 86 3495(Cadigan 1/10/5) [20000] 87 262, 706, 5392(Cadigan 1/10/5), 8948(Cadigan 1/10/5) [20000] 89 2550 [20000] 90 3181(Cadigan 1/10/5), 17549(Cadigan 1/9) [20000] 92 1157, 17241(Cadigan 1/9) [20000] 93 112, 5618(Cadigan 1/10/5) [20000] 94 111 [20000] 95 1488, 2034 [20000] 96 10835(Cadigan 1/9) [20000] 97 6864(Cadigan 1/10/5) [20000] 98 183, 1787, 18733(Cadigan 1/9) [20000] 101 278 [20000] 102 689, 2395, 3845(Cadigan 1/10/5) [20000] 104 1555(Cadigan 1/10/5), 9829(Cadigan 1/10/5) [20000] 105 736, 2552 [20000] 106 5607(Cadigan 1/10/5) [20000] 109 984, 9168(Cadigan 1/10/5), 10844(Cadigan 1/9) [20000] 111 488 [20000] 114 391, 791 [20000] 115 294, 302, 548, 13128(Cadigan 1/9) [20000] 116 13015(Cadigan 1/9) [20000] 121 978 [20000] 122 303, 391, 1041, 10103(Cadigan 1/9), 19927(Cadigan 1/9) [20000] 125 336, 1068 [20000] 126 3835(Cadigan 1/10/5) [20000] 127 3612(Cadigan 1/10/5), 8106(Cadigan 1/10/5) [20000] 128 411, 1175, 7133(Cadigan 1/10/5), 7563(Cadigan 1/10/5), 19099(Cadigan 1/9) [20000] 129 2948 [20000] 130 723 [20000] 131 3630(Cadigan 1/10/5) [20000] 133 558, 788 [20000] 135 4456(Cadigan 1/10/5) [20000] 138 3061(Cadigan 1/10/5) [20000] 140 1633, 11633(Cadigan 6/9) [20000] 141 224, 5330(Cadigan 1/10/5) [20000] 143 8208(Cadigan 1/10/5) [20000] 145 272 [20000] 146 9027(Cadigan 1/10/5) [20000] 149 234 [20000] 150 15239(Cadigan 6/9) [20000] 152 259 [20000] 154 201 [20000] 156 445 [20000] 158 1607 [20000] 159 5800(Cadigan 1/10/5) [20000] 160 19089(Cadigan 6/9) [20000] 163 3680(Cadigan 1/10/5), 8112(Cadigan 1/10/5) [20000] 164 165, 3373(Cadigan 1/10/5), 4923(Cadigan 1/10/5), 19727(Cadigan 6/9 [20000] 165 184, 11596(Cadigan 6/9) [20000] 167 348, 2684, 5880(Cadigan 1/10/5) [20000] 168 197, 263, 1877 [20000] 169 18930(Cadigan 6/9) [20000] 171 3478(Cadigan 1/10/5) [20000] 172 15141(Cadigan 6/9) [20000] 173 2592 [20000] 175 492, 5444(Cadigan 1/10/5), 6144(Cadigan 1/10/5), 6734(Cadigan 1/10/5) [20000] 180 15073(Cadigan 6/9) [20000] 182 209 [20000] 183 17422(Cadigan 6/9) [20000] 188 717 [20000] 189 908 [20000] 190 5511(Cadigan 1/10/5), 17073(Cadigan 6/9) [20000] 191 17502(Cadigan 6/9) [20000] 192 379 [20000] 194 365, 975, 1361 [20000] 195 374 [20000] 200 533, 567, 777 [20000] 201 992, 24124(De Troia 9/8),31430(De Troia 9/8) [40000] 203 306, 4040(Cadigan 1/10/5) [20000] 204 reserved De Troia to 40000 205 2634, 3326(Cadigan 1/10/5), 6372(Cadigan 1/10/5) [20000] 206 283, 1287 [20000] 207 964 [20000] 211 2054 [20000] 214 8841(Cadigan 1/10/5) [20000] 215 2574 [20000] 220 2247 [20000] 222 1727 [20000] 224 391, 2259, 4833(Cadigan 1/10/5), 7238(Cadigan 1/10/5) [20000] 225 7238(Cadigan 1/10/5) [20000] 227 888, 6566(Cadigan 1/10/5) [20000] 234 3275(Cadigan 1/10/5), 7975(Cadigan 1/10/5) [20000] 235 2084, 13658(Cadigan 6/9) [20000] 239 3488(Cadigan 1/10/5) [20000] 240 2341, 19753(Cadigan 6/9) [20000] 241 3542(Cadigan 1/10/5) [20000] 242 2397, 6649(Cadigan 1/10/5) [20000] 245 2138 [20000] 247 3080(Cadigan 1/10/5) [20000] 248 1485 [20000] 251 1734 [20000] 252 3071(Cadigan 1/10/5), 7015(Cadigan 1/10/5) [20000] 253 1082 [20000] 255 586 [20000] 258 373 [20000] 263 4238(Cadigan 1/10/5), 6950(Cadigan 1/10/5) [20000] 264 809, 2779 [20000] 267 1112 [20000] 269 1280, 3140(Cadigan 1/10/5) [20000] 270 1531, 2227 [20000] 271 348 [20000] 272 431 [20000] 277 11822(Cadigan 6/9) [20000] 278 577, 1081 [20000] 283 1992 [20000] 284 1675, 2471 [20000] 287 10806(Cadigan 6/9) [20000] 289 3588(Cadigan 1/10/5), 8712(Cadigan 1/10/5) [20000] 290 1413, 19939(Cadigan 6/9) [20000] 292 6255(Cadigan 1/10/5) [20000] 294 2131 [20000] 297 310 [20000] 300 611, 4771(Cadigan 1/10/5) [20000] 302 3635(Cadigan 1/10/5) [20000] 304 411 [20000] 307 19472(Cadigan 6/9) [20000] 312 7925(Cadigan 1/10/5) [20000] 313 1166 [20000] 315 1868 [20000] 320 693(Cadigan 1/10/5) [20000] 321 5302(Cadigan 1/10/5) [20000] 322 1287 [20000] 323 1920 [20000] 325 732 [20000] 327 8392(Cadigan 1/10/5) [20000] 328 2019 [20000] 329 3704(Cadigan 1/10/5), 11168(Cadigan 6/9) [20000] 331 13382(Cadigan 6/9) [20000] 333 1864, 10778(Cadigan 6/9) [20000] 335 2334 [20000] 339 2612 [20000] 342 16661(Cadigan 6/9) [20000] 344 9749(Cadigan 1/10/5) [20000] 348 2689(Cadigan 1/10/5) [20000] 349 4944(Cadigan 1/10/5) [20000] 351 7832(Cadigan 1/10/5) [20000] 354 1315 [20000] 355 19796(Cadigan 6/9) [20000] 357 4120(Cadigan 1/10/5) [20000] 359 6182(Cadigan 1/10/5) [20000] 363 14986(Cadigan 6/9) [20000] 366 3575(Cadigan 1/10/5) [20000] 373 10338(Cadigan 6/9) [20000] 374 1079 [20000] 375 2056 [20000] 381 14942(Cadigan 6/9), 18502(Cadigan 6/9) [20000] 382 765 [20000] 384 17815(Cadigan 6/9) [20000] 385 936, 15242(Cadigan 6/9) [20000] 386 415 [20000] 387 12724(Cadigan 6/9) [20000] 391 1308 [20000] 392 1693 [20000] 394 9579(Cadigan 1/10/5) [20000] 395 2004 [20000] 398 2627, 5257(Cadigan 1/10/5) [20000] 404 523, 897 [20000] 411 1058 [20000] 412 15585(Cadigan 6/9) [20000] 416 16415(Cadigan 6/9) [20000] 418 507, 2133 [20000] 421 1832 [20000] 422 2863 [20000] 423 7288(Cadigan 1/10/5) [20000] 428 493 [20000] 429 2918 [20000] 430 2343 [20000] 432 445 [20000] 433 18842(Cadigan 6/9) [20000] 437 1040, 19472(Cadigan 6/9) [20000] 438 1003, 18455(Cadigan 6/9) [20000] 440 7709(Cadigan 1/10/5) [20000] 445 2168 [20000] 450 13553(Cadigan 6/9) [20000] 451 2730 [20000] 455 768 [20000] 457 4128(Cadigan 1/10/5), 6758(Cadigan 1/10/5), 15168(Cadigan 6/9) [20000] 459 790, 1262 [20000] 463 1062 [20000] 468 1643 [20000] 477 686 [20000] 482 5029(Cadigan 1/10/5) [20000] 483 1210(Brown, 8/2) [20000] 486 14507(Cadigan 6/9) [20000] 487 4100(Cadigan 1/10/5), 7562(Cadigan 1/10/5) [20000] 505 18266(Cadigan 6/9) [20000] 508 3579(Cadigan 1/10/5) [20000] 511 638, 1404, 1542(Brown, 8/2) [20000] 512 9537(Cadigan 1/10/5) [20000] 513 550, 1918(Brown, 8/2), 4838(Cadigan 1/10/5) [20000] 522 1895(Brown, 8/2), 2381,7339(Cadigan 1/10/5) [20000] 525 13814(Cadigan 7/20) [20000] 526 777 [20000] 527 9002(Cadigan 1/10/5) [20000] 529 4640(Cadigan 1/10/5) [20000] 530 2671, 7439(Cadigan 1/10/5) [20000] 533 2012(Brown, 8/2), 3764(Cadigan 1/10/5) [20000] 535 7532(Cadigan 1/10/5) [20000] 541 19928(Cadigan 7/20) [20000] 545 6792(Cadigan 1/10/5) [20000] 546 9535(Cadigan 1/10/5) [20000] 548 1409(Brown, 8/2) [20000] 551 4958(Cadigan 1/10/5) [20000] 552 1523(Brown, 8/2) [20000] 555 3604(Cadigan 1/10/5) [20000] 557 11802(Cadigan 7/20) [20000] 561 4948(Cadigan 1/10/5) [20000] 563 1062(Brown, 8/2) [20000] 566 9925(Cadigan 1/10/5) [20000] 569 18668(Cadigan 7/20) [20000] 572 11241, 15303(Cadigan 7/20) [20000] 575 3972(Cadigan 1/9) [20000] 578 8201(Cadigan 1/9) [20000] 579 8410(Cadigan 1/9), 9094(Cadigan 1/9), 10028(Cadigan 7/20) [20000] 581 7878(Cadigan 1/9) [20000] 583 1326(Brown, 8/2), 8912(Cadigan 1/9) [20000] 592 4095(Cadigan 1/9) [20000] 593 1368(Brown, 8/2) [20000] 594 14551(Cadigan 7/20) [20000] 598 15729(Cadigan 7/20) [20000] 601 5630(Cadigan 1/9) [20000] 606 3985(Cadigan 1/9) [20000] 610 1173, 1983(Brown, 8/2) [20000] 614 5159(Cadigan 1/9) [20000] 619 1274(Brown, 8/2) [20000] 620 10857(Cadigan 7/20) [20000] 621 1348(Brown, 8/2) [20000] 623 2532 [20000] 625 962 [20000] 627 4102(Cadigan 1/9) [20000] 631 4664(Cadigan 1/9) [20000] 632 1305(Brown, 8/2), 18173(Cadigan 7/20) [20000] 641 728 [20000] 646 705 [20000] 648 12799(Cadigan 7/20) [20000] 649 8472(Cadigan 1/9),18782(Cadigan 7/20) [20000] 653 12684(Cadigan 7/20) [20000] 655 8118(Cadigan 1/9) [20000] 656 17735(Cadigan 7/20) [20000] 657 880 [20000] 660 3647(Cadigan 1/9) [20000] 661 12378(Cadigan 7/20) [20000] 662 1943(Brown, 8/2),7559(Cadigan 1/9) [20000] 663 1718(Brown, 8/2) [20000] 668 12225(Cadigan 7/20) [20000] 669 1012 [20000] 672 8989(Cadigan 1/9) [20000] 674 3299(Cadigan 1/9) [20000] 675 6448(Cadigan 1/9), 7468(Cadigan 1/9) [20000] 681 11044(Cadigan 7/20) [20000] 683 830 [20000] 684 2227 [20000] 685 3582(Cadigan 1/9) [20000] 689 2222 [20000] 695 1242(Brown, 8/2) [20000] 698 1331(Brown, 8/2), 3081(Cadigan 1/9), 15677(Cadigan 7/20) [20000] 699 2180 [20000] 711 2602 [20000] 701 902, 18542(Cadigan 7/20) [20000] 703 7188(Cadigan 1/9) [20000] 704 16061(Cadigan 7/20) [20000] 717 940 [20000] 723 2552, 4760(Cadigan 1/9) [20000] 724 3501(Cadigan 1/9) [20000] 726 2567 [20000] 730 7551(Cadigan 1/9) [20000] 731 4302(Cadigan 1/9) [20000] 732 4663(Cadigan 1/9) [20000] 733 14712(Cadigan 7/20) [20000] 739 15218(Cadigan 7/20) [20000] 740 7271(Cadigan 1/9), 14223(Cadigan 7/20) [20000] 744 1063(Brown, 8/2) [20000] 746 13583(Cadigan 7/20) [20000] 747 1978(Brown, 8/2), 4430(Cadigan 1/9) [20000] 751 11562(Cadigan 7/20) [20000] 757 6984(Cadigan 1/9) [20000] 758 1393(Brown, 8/2) [20000] 762 1501(Brown, 8/2) [20000] 763 1026(Brown, 8/2) [20000] 764 10945(Cadigan 7/20) [20000] 765 15746(Cadigan 7/20) [20000] 766 927 [20000] 769 1824(Brown, 8/2) [20000] 770 1501(Brown, 8/2), 2171 [20000] 774 2119, 2735, 5741(Cadigan 1/9) [20000] 777 11006(Cadigan 7/20) [20000] 780 3737(Cadigan 1/9),12563(Cadigan 7/20) [20000] 794 7631(Cadigan 1/9) [20000] 798 19249(Cadigan 7/20) [20000] 799 10940(Cadigan 7/20) [20000] 801 8354(Cadigan 1/9), 11152(Cadigan 7/20) [20000] 804 4021(Cadigan 1/9),15857, 19723(Cadigan 7/20) [20000] 811 2400 [20000] 819 1250(Brown, 8/2) [20000] 822 1775(Brown, 8/2) [20000] 823 4886(Cadigan 1/9) [20000] 827 15966(Cadigan 7/20) [20000] 832 1863(Brown, 8/2) [20000] 836 845 [20000] 840 1109(Brown, 8/2), 2641, 2773 [20000] 841 2394 [20000] 845 7248(Cadigan 1/9) [20000] 847 3048(Cadigan 1/9), 15024(Cadigan 7/20) [20000] 849 2200 [20000] 851 2192 [20000] 852 17899(Cadigan 7/20) [20000] 853 4328(Cadigan 1/9) [20000] 858 2539 [20000] 860 1837(Brown, 8/2), 5539(Cadigan 1/9) [20000] 862 2949 [20000] 864 1501(Brown, 8/2) [20000] 865 4338(Cadigan 1/9) [20000] 867 5668(Cadigan 1/9) [20000] 873 926, 6206(Cadigan 1/9) [20000] 879 2528 [20000] 882 9697(Cadigan 1/9) [20000] 884 10841(Cadigan 7/20) [20000] 888 1393(Brown, 8/2) [20000] 889 6840(Cadigan 1/9) [20000] 892 7863(Cadigan 1/9) [20000] 895 9876(Cadigan 1/9) [20000] 899 7074(Cadigan 1/9) [20000] 902 3615(Cadigan 1/9) [20000] 903 8492(Cadigan 1/9) [20000] 907 17346(Cadigan 7/20) [20000] 908 1029(Brown, 8/2) [20000] 910 13329(Cadigan 7/20) [20000] 911 1218, 1484, 1560(Brown, 8/2) [20000] 915 1706(Brown, 8/2), 3832(Cadigan 1/9) [20000] 917 1952(Brown, 8/2) [20000] 920 3421, 3601(Cadigan 1/9) [20000] 922 1869(Brown, 8/2) [20000] 930 6613(Cadigan 1/9) [20000] 931 1122(Brown, 8/2) [20000] 932 5953(Cadigan 1/9) [20000] 941 2712 [20000] 942 1597(Brown, 8/2) [20000] 944 5583(Cadigan 1/9) [20000] 948 2749 [20000] 954 8615(Cadigan 1/9) [20000] 955 13928(Cadigan 7/20) [20000] 959 4094(Cadigan 1/9) [20000] 963 2078, 3262(Cadigan 1/9) [20000] 966 12377(Cadigan 7/20) [20000] 967 1824(Brown, 8/2), 2142, 6824(Cadigan 1/9) [20000] 968 2775, 7567(Cadigan 1/9) [20000] 975 17822(Cadigan 7/20) [20000] 982 15507(Cadigan 7/20) [20000] 991 10802(Cadigan 7/20) [20000] 992 6749(Cadigan 1/9) [20000] 1003 5012(Cadigan 1/9) [20000] 1004 13107(Cadigan 7/20) [20000] 1014 8989(Cadigan 1/9) [20000] 1015 3102(Cadigan 1/9) [20000] 1020 1127(Brown, 8/2), 5897(Cadigan 1/9) [20000] 1021 9032(Cadigan 1/9), 10964(Cadigan 7/20) [20000] 1029 3088(Cadigan 1/9) [10000] 1031 2148 [10000] 1032 2951 [10000] 1034 5259,9879(both Cadigan 9/17)[10000] 1037 8822(Cadigan 9/17)[10000] 1050 9311(Cadigan 9/17)[10000] 1051 2574 [10000] 1064 1729 [10000] 1073 3608(Cadigan 1/9) [10000] 1075 3318(Cadigan 1/9) [10000] 1081 3068(Cadigan 1/9) [10000] 1082 2221 [10000] 1088 6195(Cadigan 9/17)[10000] 1103 3680(Cadigan 1/9) [10000] 1104 2429 [10000] 1118 3175(Cadigan 1/9) [10000] 1119 6044(Cadigan 9/17) [10000] 1121 2868 [10000] 1130 3293(Cadigan 1/9) [10000] 1132 2745 [10000] 1133 3912(Cadigan 1/9) [10000] 1136 7905(Cadigan 9/17)[10000] 1147 8588(Cadigan 9/17)[10000] 1155 2342 [10000] 1161 4420(Cadigan 1/9) [10000] 1163 4968(Cadigan 1/9) [10000] 1168 2757 [10000] 1169 5874(Cadigan 9/17)[10000] 1172 4731(Cadigan 1/9),7161(Cadigan 9/17)[10000] 1173 3590(Cadigan 1/9), 4690(Cadigan 1/9) [10000] 1178 9563(Cadigan 9/17)[10000] 1184 6569(Cadigan 9/17)[10000] 1185 8944(Cadigan 9/17)[10000] 1203 4984(Cadigan 1/9) [10000] 1224 4801(Cadigan 1/9) [10000] 1225 5426(Cadigan 9/17)[10000] 1238 5841(Cadigan 9/17)[10000] 1239 2900 [10000] 1244 3027(Cadigan 1/9) [10000] 1246 4653(Cadigan 1/9) [10000] 1260 5287(Cadigan 9/17)[10000] 1262 9401(Cadigan 9/17)[10000] 1264 1941 [10000] 1267 3572(Cadigan 1/9) [10000] 1268 4825(Cadigan 1/9) [10000] 1283 1746 [10000] 1286 3355(Cadigan 1/9) [10000] 1298 3211(Cadigan 1/9), 4479(Cadigan 1/9) [10000] 1299 1724 [10000] 1302 2761, 4853(Cadigan 1/9) [10000] 1304 6701(Cadigan 9/17)[10000] 1305 8626(Cadigan 9/17)[10000] 1320 3317(Cadigan 1/9),7697(Cadigan 9/17)[10000] 1325 4976(Cadigan 1/9) [10000] 1332 3041(Cadigan 1/9), 4105(Cadigan 1/9) [10000] 1333 1862 [10000] 1339 8384(Cadigan 9/17)[10000] 1340 3443(Cadigan 1/9) [10000] 1343 2510 [10000] 1360 1713 [10000] 1373 2804 [10000] 1378 3669(Cadigan 1/9) [10000] 1389 2102 [10000] 1404 3353(Cadigan 1/9) [10000] 1412 1739 [10000] 1425 7364(Cadigan 9/17)[10000] 1439 7880(Cadigan 9/17)[10000] 1440 1933 [10000] 1442 4549(Cadigan 1/9), 4937(Cadigan 1/9) [10000] 1445 3966(Cadigan 1/9) [10000] 1448 5213(Cadigan 9/17)[10000] 1454 2739 [10000] 1467 2000 [10000] 1473 3164(Cadigan 1/9) [10000] 1482 5687(Cadigan 9/17)[10000] 1484 8759(Cadigan 9/17)[10000] 1494 7151(Cadigan 9/17)[10000] 1500 7669(Cadigan 9/17)[10000] 1508 4151(Cadigan 1/9) [10000] 1519 1602 [10000] 1535 3608(Cadigan 1/9) [10000] 1536 2345, 3335(Cadigan 1/9) [10000] 1537 3042(Cadigan 1/9) [10000] 1543 3542(Cadigan 1/9) [10000] 1560 1711 [10000] 1568 5095(Cadigan 9/17)[10000] 1573 6128(Cadigan 9/17)[10000] 1578 1693 [10000] 1595 4368(Cadigan 1/9) [10000] 1602 3787(Cadigan 1/9) [10000] 1619 4038(Cadigan 1/9) [10000] 1620 5657(Cadigan 9/17)[10000] 1627 2358 [10000] 1637 9798(Cadigan 9/17)[10000] 1639 7664(Cadigan 9/17)[10000] 1640 6237(Cadigan 9/17)[10000] 1642 7695(Cadigan 9/17)[10000] 1648 2907 [10000] 1661 2012 [10000] 1664 2597, 3489(Cadigan 1/9) [10000] 1690 8319(Cadigan 9/17)[10000] 1691 9152(Cadigan 9/17)[10000] 1700 8043(Cadigan 9/17)[10000] 1703 6950(Cadigan 9/17)[10000] 1706 3947(Cadigan 1/9) [10000] 1723 3246(Cadigan 1/9) [10000] 1731 4468(Cadigan 1/9) [10000] 1738 6885(Cadigan 9/17)[10000] 1740 2081 [10000] 1748 4355(Cadigan 1/9) [10000] 1751 5660(Cadigan 9/17)[10000] 1765 5646(Cadigan 9/17)[10000] 1770 1771 [10000] 1778 5583(Cadigan 9/17)[10000] 1790 4277(Cadigan 1/9) [10000] 1801 2964 [10000] 1809 2662 [10000] 1820 2117 [10000] 1826 4373(Cadigan 1/9),7277(Cadigan 9/17)[10000] 1848 6091(Cadigan 9/17)[10000] 1872 5287(Cadigan 9/17)[10000] 1874 9425(Cadigan 9/17)[10000] 1885 9888(Cadigan 9/17)[10000] 1893 5998(Cadigan 9/17)[10000] 1907 4452(Cadigan 1/9) [10000] 1922 4699(Cadigan 1/9) [10000] 1939 4572(Cadigan 1/9) [10000] 1940 2819, 3563(Cadigan 1/9) [10000] 1951 8418(Cadigan 9/17)[10000] 1952 9137(Cadigan 9/17)[10000] 1982 6801(Cadigan 9/17)[10000] 1983 2306 [10000] 1985 3924(Cadigan 1/9) [10000] 1991 4734(Cadigan 1/9) [10000] 2000 5823(Cadigan 9/17)[10000] 2004 2575 [10000] 2015 2316,7452(Cadigan 9/17)[10000] 2018 6573(Cadigan 9/17)[10000] 2021 5898(Cadigan 9/17)[10000] 2029 3782(Cadigan 1/9) [10000] 2032 4275(Cadigan 1/9) [10000] 2036 3245(Cadigan 1/9) [10000] 2048 7761,8905,9117(all Cadigan 9/17)[10000] 4002 14287(Ian J. Brown, p90, 10-30-2) 68094 digits [20000] 4011 11098(Ian J. Brown, p90, 10-0-2) 56215 digits [20000] 4013 18282(Ian J. Brown, p90, 11-9-2) 82983 digits [20000] 4041 6352(Ian J. Brown, p90, 10-10-2) 38276 digits [20000] 4049 14292(Ian J. Brown, p90, 10-10-2) 68381 digits [20000] 4058 5045(Ian J. Brown, p90, 10-10-2) 33231 digits [20000] 4077 16072(Ian J. Brown, p90, 10-10-2) 75174 digits [20000] 5000 5011(Ian J. Brown, p90, 7/02) [6000] 5004 5071(Ian J. Brown, p90, 7/02) [6000] 5010 5929(Ian J. Brown, p90, 7/02) [6000] 6869 [40000] comments, corrections, additons, etc. harvey563@yahoo.com 8/2/2020