.LOG active Generalized Woodall base 34 to 350k, base 13 to 610k+ 4/15/19 Completed/inactive NearGenCullenWoodall base 3 to 1m 73061++,77285--,99613++,135925+-,182853+-, 227699-+,232053-+,251339-+,310331+-,408415++,612793+-,637461++,779213++,864195-+,872353++,879537--,937493++ 8/17/17 GenWoodall base 20 to 400000 12/14/16 GenWoodall base 23 to 400000 9/25/17 Cunningham-2 k*2^n+1, k*2^(n+1)+1 to 1m: k to 32469, to 18k 10/2/10 k=10107 to 32415, n=18k to 200k 12/11/11 k=10077 to 32415, n=100k to 151k 4/15/11 k=10107 to 32415, n=200k to 389k, 600k to 600649, 610k to 610271, 667k to 1m 11/12/14 10005 to 1m 11/28/10 10011 to 1m 11/28/10 [713828, 886052] 10017 to 1m 12/10/10 10077 to 1m 11/28/11 10107 to 1m 10/16/11 10119 to 1m 12/5/11 10125 to 1m 12/12/11 10137 to 1m 12/25/11 10143 to 1m 1/9/12 10149 to 1m 1/11/12 10167 to 667k 1/13/12 10233 to 600k, 667k to 1m 10/19/11 10239 to 600k, 667k to 1m 10/25/11 10245 to 600k, 667k to 1m 11/1/11 10263 to 600k, 667k to 1m 1/11/12 10281 to 600k, 667k to 1m 1/13/12 10287 667k to 1m 11/22/11 10293 667k to 1m 11/28/11 10299 667k to 1m 12/5/11 10323 667k to 1m 12/5/11 10359 667k to 1m 12/7/11 10365 667k to 1m 12/12/11 10377 667k to 1m 12/13/11 10383 667k to 1m 12/16/11 [771098, 941537] 10407 667k to 1m 12/19/11 10419 667k to 1m 12/20/11 10443 667k to 1m 12/22/11 10449 667k to 1m 12/18/11 10461 667k to 1m 1/3/12 10491 667k to 1m 1/13/12 10527 667k to 1m 1/13/12 11007 667k to 1m 10/20/11 11019 667k to 1m 11/7/11 11031 667k to 1m 11/14/11 11037 667k to 1m 11/28/11 11043 667k to 1m 12/16/11 11049 667k to 1m 12/29/11 11091 667k to 1m 1/13/12 32367 667k to 1m 1/9/12 32391 667k to 1m 1/4/12 32409 667k to 1m 12/19/11 32415 to 600k, 667k to 1m 1/3/12 32421 to 1m 10/11/10 32427 to 1m 10/4/10 [815916] k*2^86243-1 to 100000 5/27/1 [1, 86539] k*2^110503-1 to 200000 8/3/1 [1, 30091] k*2^(2^15-1)-1 to 60k [56083] k*2^(2^16-1)-1 to 300k 10/13 [130141, 133471, 202881, 205851, 247765, 280731, 281383, 287769, 291771] k*2^(2^17-1)-1 to 10000000 8/5/2 [49905, 105915, 108141, 162589, 290173, 323721, 335323, 336289, 402033, 402933, 406875, 449259, 756901, 873495, 939603, 1042009, 1164781, 1167529, 1426411, 1444729, 1519773, 1541373, 1550395, 1747023, 1829443, 1881643, 1905385, 2086119, 2114689, 2153089, 2185195, 2204653, 2317309, 2408185, 2413405, 2433045, 2462175, 2552121, 2558013, 2588301, 2637565, 2646601, 2708103, 2744811, 2825209, 2893609, 2974281, 3004861, 3028293, 3081639, 3104061, 3159709, 3347109, 3390919, 3493303, 3609655, 4063821, 4077655, 4164993, 4183761, 4193803, 4385313, 4541979, 4745925, 4845303, 5025223, 5042331, 5049103, 5086663, 5162859, 5475373, 5510941, 5517849, 5646285, 5750739, 6033223, 6308343, 6358651, 6396291, 6431719, 6854983, 6870435, 6880111, 7041697, 7044289, 7097169, 7102173, 7331703, 7356265, 7430145, 7434021, 7496643, 7602349, 7712515, 7984863, 8036533, 8078925, 8150985, 8189923, 8206323, 8314165, 8350119, 8460349, 8477779, 8513935, 8564655, 8739085, 8785269, 9008209, 9009819, 9139815, 9236929, 9361651, 9435853, 9534301, 9569169, 9661771, 9930265] k*2^(2^18-1)+1 to 141000 12/27/4 [20102, 132261] k*2^524287+1 to 341000 5/4/5 [113451] (2^n+/-n)*2^n+/-1 1k to 10k 3/28/1 [p for mp1108, pp1509, pm1568, pm1933, pp2389, pm3551, mm4547, mp4740, pp5973, pm6793, mm8248, pp8558] (2^n+/-n+/-1)*2^n+/-1 1k to 10k 3/30 [p for (2^1425+1425-1)*2^1425-1, (2^1428+1428-1)*2^1428-1, (2^1431+1431+1)*2^1431+1, (2^1452-1452+1)*2^1452-1, (2^1468+1468+1)*2^1468-1, (2^1478-1478+1)*2^1478+1, (2^1878-1878-1)*2^1878+1, (2^2021+2021+1)*2^2021+1, (2^2306-2306+1)*2^2306+1, (2^2387+2387-1)*2^2387+1, (2^2701+2701+1)*2^2701-1, (2^2945+2945-1)*2^2945+1, (2^2959+2959+1)*2^2959-1, (2^3029+3029-1)*2^3029-1, (2^3735+3735+1)*2^3735-1, (2^4578-4578+1)*2^4578-1, (2^5861+5861+1)*2^5861+1, (2^5897+5897-1)*2^5897+1, (2^6056+6056+1)*2^6056+1, (2^6774-6774-1)*2^6774+1, (2^7314+7314-1)*2^7314-1, (2^8686+8686+1)*2^8686-1, (2^8777-8777-1)*2^8777+1, (2^9063+9063+1)*2^9063+1 ] (5555^n+/-n)*5555^n+/-1 to 3309 3/30/1 [29, 239, 2411] (3^n+/-n)*3^n+/-1 to 24059 4/6/1 [(3^11-11)*3^11-1, (3^25-25)*3^25-1, (3^27+27)*3^27-1, (3^33+33)*3^33-1, (3^89+89)*3^89+1, (3^101-101)*3^101+1, (3^107+107)*3^107-1, (3^135-135)*3^135-1, (3^215-215)*3^215-1, (3^329-329)*3^329+1, (3^351-351)*3^351+1, (3^415-415)*3^415-1, (3^459+459)*3^459-1, (3^503-503)*3^503+1, (3^577-577)*3^577+1, (3^1281-1281)*3^1281+1, (3^1391-1391)*3^1391+1, (3^2899+2899)*3^2899-1, (3^6807-6807)*3^6807-1] (2^n+/-n([+/-1]))*2^n+/-1 10k to 15250, 33000 to 33535 5/16/1 [(2^10337-10337+1)*2^10337-1] (p#+/-1)*2^p+/-1 to 20117 5/16/1 [(2#-1)*2^2-1, (2#+1)*2^2-1, (2#-1)*2^2+1, (2#+1)*2^2+1, (3#-1)*2^3+1, (5#+1)*2^5-1, (5#-1)*2^5+1, (11#+1)*2^11-1, (13#+1)*2^13-1, (17#+1)*2^17-1, (479#-1)*2^479+1, (503#-1)*2^503+1, (613#+1)*2^613-1, (997#+1)*2^997-1, (1181#-1)*2^1181+1] p#*3^p+/-1 to 5153, 20500 to 21379 4/11/1 [2#*3^2+1, 2#*3^2-1, 3#*3^3+1, 7#*3^7+1, 11#*3^11+1, 17#*3^17-1, 71#*3^71-1, 599#*3^599+1, 1663#*3^1663+1, 2213#*3^2213+1, 2389#*3^2389-1, 4969#*3^4969-1] k*199276#+1 2 to 14485 2/17/7 6*(2^n)*(2^n-1)+1 to 38705 3/14/3 [2, 3, 5, 9, 10, 12, 31, 33, 43, 176, 202, 300, 336, 400, 476, 1436, 1881, 2950, 6069, 6588, 8476, 9715, 17636] n!2+1 to 40000 3/10/3 [1, 2, 518, 33416, 37310] n!3-1 to 55500 8/20/3 [34706, 34626, 23109...] n!3+1 to 55500, 56800 to 100000 9/18/6 [95493, 80069, 51393, 50649, 46487, 32659, 28565...] n!4-1 to 30300, 50000 to 100000 4/10/7 [3, 4, 6, 8, 12, 16, 22, 24, 54, 56, 98, 152, 156, 176, 256, 454, 460, 720, 750, 770, 800, 1442, 2846, 5920, 7066, 12778, 19978, 22726, 25938, 27780] n!4+1 50000 to 100000 4/10/7 [54406] n!5-1 15000 to 50000 8/30/3 [21092, 22753, 31123] n!5+1 26100 to 50000 9/25/3 [27032, 39743] n!6+1 33000 to 60000 10/11/3 [35242, 41730, 46576, 55458] n!7+1 25000 to 70000 11/17/3 [26496,26568,27382,31425,33890,40189,40997,41139,41313,41666,45250,46586, 47797,54896,67281] n!10+1 to 50000 5/5/1 n!12+1 100000 to 120000 12/7/3 [102862,106498,107830,108572,111852] n!12-1 100000 to 120000 12/5/3 [108096] n!16+1 100000 to 160000 4/26/4 [102354, 116682, 116942, 118266, 126166, 145852] n!16-1 100000 to 160000 4/26/4 [116340, 123066, 130200, 152818] n!2^2+1 12000 to 13000 1/22/4 3*n^n-1, n to 565 4/12 563*n^n-1, n to 5724 4/18 k*563^(k-1)+1 1/31 n#^8+1 to 2207 8/2 k*4000^4000-1, 10k to 200k 5/12 k*4001^4001-1 to 490k 7/11 k*4567^4567-1 to 100k 8/10 [476, 20586, 76136] k*4583^4583-1 to 300k 10/13 [18966, 21370, 36934, 40546, 47446, 121372, 124252, 174276, 218130, 220086, 262384, 265180] k*4591^4591-1 to 300k 10/19 [420, 1572, 95574, 119544, 124412, 124478, 173580, 181878, 230100, 240938, 274688, 282468] k*4597^4597-1 to 255k 12/9 [109740, 115506, 136866, 146886, 202074] k*5555^5555-1 k to 200k 3/9/1 [48544, 145612, 179460] k*6792^6792+1 k to 50k 5/7/1 [5448, 36540] k*7001^7001-1 k to 300k 9/11 [26368, 240748, 281830] n*(n-1)^(n-2)-1 to 7076 10/18 [3, 9, 11, 13, 17, 37, 98, 177, 207, 1169, 3232] k*3^(3^10)-1 k to 40276 7/26/1 [2342] n!/7+1 up to n= 6196 4/24 n!/70+1 n = 6018 6/22 n!/563+1 to 7774 7/11 [11, 15, 3124, 4238, 4384, 5115] n!/563-1 to 7774 8/29 [7, 9, 650, & 4772] n!/137+1 to 7774 8/25 [7, 158, 379, 424, 570, 617, 681, 1104, 1488, 1536, 1722, 4160, 5794] n!/137-1 to 7774 8/10 [8, 9, 17, 140, 152, 461, 498, 1328, 1395, 1825, 2266, 2779, 3124, 4863, 5637] n!^4+1 to 1406 7/27 [13, 112, 328] n!2^4+1 to 3213 7/25 [1, 2, 26, 150, 450, 520] n#/563+1 to 54k 8/29 [37, 401, 6661, 6961, 7309, 7867, 20551, 23399, 24851, 27611, 27791, 28001] n#/563-1 35023 to 47017 9/11 [37889] 9000!!/n+1 n to 4591 10/5 [no primes] p#*2^p-1 4/2/1 to 14951, 26003 to 47207 [2, 3, 7, 53, 191, 197, 239, 719, 1997, 1999, 2477] (n!3)^2+1 13100 to 14163 4/1/3 [none] 2*(2*p)#/p#-1 to 58453 5/9/3 [2, 5, 19, 6173] 4^n-2^(n+1)-1 to 49614, 75000 to 100000, 218000 to 230000 4/14/5 [..., 14289, 39012, 226749] 4^n+2^(n+1)-1 to 100000 5/21/2 [..., 10088, 10387, 37035, 45873, 69312] n^16384+1 750000 to 760000 9/24/1 [none] n^16384+1 870000 to 875000 12/14/1 [none] n^32768+1 770000 to 770246 1/8/2 [none] n^32768+1 1540000 to 1542000 2/11/2 [none] n^65536+1 148000 to 149000 3/25/2 [none] n^65536+1 288000 to 289000 11/4/2 [none] k*(2^31-1)^4096+1 to 100000 6/30/2 [none] k*(2^32-1)^4096+1 to 19000 3/1/2 [18782] k*(2^64-1)^2048+1 to 13000 4/15/2 [none] 2^k*(2^31+/-1)+/-1 140000 to 150000 1/30/4 Phi(24576,n) 150000 to 200000 9/29/3 [151930, 154268, 156058, 168461, 178031, 180116] Phi(24576,n) 500000 to 550000 10/17/3 [500609, 528547, 534952, 535027, 545376, 546535] Phi(24576,n) 950000 to 1000000 11/12/3 [952977,955312,960602,966848,966905,970193,976513,989509,999115] Phi(24576,n) 2450000 to 2500000 2/26/4 [2458046,2465020,2473929,2477939,2478446,2480010,2491232] Phi(24576,2*k^2) 1600000 to 1699999 8/1/6 [1601348, 1609589, 1623650, 1624375, 1632700, 1641602, 1642870, 1656406, 1684121] Phi(24576,2*k^2) 1700000 to 1799999 5/23/6 [1715736, 1724529, 1733837, 1753197, 1759514, 1763939, 1782368, 1783691, 1787359, 1790490] Phi(24576,3*k^2) 1050001 to 1059993 1/27/6 Phi(24576, 11*n^2) 250000 to 401470, 448403 to 450000 1/4/6 [251973, 275361, 282403, 286924, 300736, 309239, 310834, 313819, 337646, 356548] Phi(24576,13*k^2) 100000 to 141352, 150000 to 163689, 199992 to 224437 4/5/6 [103641, 107406, 109894, 158407, 201070, 223193] Phi(49152,n) 110000 to 130000 12/18/3 [110234,123372,127549] Phi(49152,n) 220000 to 250000 1/14/4 [221848,226064,226075,237765,239660,241065,249256] Phi(49152,n) 350000 to 380000 2/12/4 [373737] Phi(49152,n) 500000 to 580000 6/3/4 [500529,505902,506970,514124, 526994, 537097, 555209, 572125, 575576, 578469, 578606] Phi(49152,n) 600000 to 650000 9/2/4 [616781, 629576, 645076] Phi(49152,n) 700000 to 750000 11/3/4 [707463, 708764, 710421, 723580, 726730] Phi(49152,n) 2427162 to 2442946 12/2/4 [2429043, 2439926] Phi(49152,n) 2594618 to 2603889 1/3/5 [2595575, 2601665, 2602731, 2603063] Phi(49152, 2*k^2) 700000 to 749998 3/19/8 [710071, 713028] Phi(49152, 2*k^2) 850000 to 949999 7/2/7 [914725, 943146, 945310] Phi(98304,n) 20000 to 40000 3/7/5 [24135, 35822] Phi(98304,n) 80000 to 139999 9/15/5 [96280, 137683] xGF factors n=910 to 929, k=3*10^9 to 4*10^9 2/16/10 none xGF factors n=2000 to 3000, k=1000000 to 2000000 5/29/8 1083155*2^2033+1 | xGF(2032,11,9) 1204367*2^2183+1 | xGF(2181,10,7) 1258785*2^2456+1 | xGF(2454,8,3) 1307451*2^2368+1 | xGF(2366,9,2) 1446993*2^2622+1 | GF(2621,5) 1483267*2^2018+1 | GF(2016,11) 1486571*2^2467+1 | xGF(2465,7,3) 1488435*2^2515+1 | xGF(2513,9,8) 1517783*2^2721+1 | xGF(2720,11,4) 1537299*2^2329+1 | xGF(2328,11,7) 1549653*2^2098+1 | xGF(2096,11,5) 1601501*2^2287+1 | xGF(2286,6,5) 1824465*2^2834+1 | xGF(2832,8,7) 1950473*2^2393+1 | xGF(2392,7,6) xGF factors n=3000 to 4000, k=1000000 to 2000001 6/15/8 1032233*2^3529+1 | xGF(3527,10,3) 1127763*2^3046+1 | xGF(3042,7,3) 1200663*2^3662+1 | xGF(3659,8,7) 1248339*2^3967+1 | xGF(3964,8,3) 1344203*2^3153+1 | xGF(3151,7,2) 1550521*2^3184+1 | xGF(3183,12,7) 1627271*2^3989+1 | xGF(3985,11,9) 1740247*2^3256+1 | xGF(3254,6,5) 1815611*2^3935+1 | xGF(3933,12,11) 1949067*2^3274+1 | xGF(3272,11,7) 1973401*2^3608+1 | xGF(3607,8,7) 1988337*2^3044+1 | GF(3036,8) xGF factors n=4000 to 5000, k=1000000 to 3000000 3/4/8 1143185*2^4037+1 | xGF(4036,3,2) 1186753*2^4262+1 | xGF(4261,7,4) 1279873*2^4852+1 | xGF(4851,12,7) 1286197*2^4712+1 | GF(4709,11) 1324145*2^4033+1 | xGF(4032,11,5) 1335091*2^4524+1 | xGF(4523,11,9) 1378029*2^4817+1 | xGF(4815,10,3) 1401089*2^4635+1 | xGF(4634,11,5) 1742433*2^4781+1 | GF(4778,6)] 2044227*2^4256+1 | xGF(4255,9,7) 2044611*2^4153+1 | xGF(4152,9,7) 2235003*2^4441+1 | xGF(4440,6,5) 2328159*2^4523+1 | xGF(4522,7,4) 2352507*2^4119+1 | xGF(4117,11,10) 2466157*2^4334+1 | F4332 2694767*2^4851+1 | GF(4850,5) 2695333*2^4788+1 | xGF(4786,12,7) 2787933*2^4730+1 | xGF(4729,12,7) 2964525*2^4883+1 | xGF(4880,11,10) xGF factors n=4500 to 5000, k=100000 to 237800 11/16/5 105063*2^4633+1 | xGF(4628,11,10) 106017*2^4783+1 | xGF(4782,12,7) 129583*2^4558+1 | GF(4557,11) 178747*2^4860+1 | xGF(4859,4,3) 181503*2^4572+1 | xGF(4567,8,7) 186101*2^4601+1 | xGF(4600,11,8) 237711*2^4536+1 | xGF(4535,8,5) - all already known xGF factors n=5000 to 6000, k=1000000 to 2000000 5/25/8 1200831*2^5353+1 | xGF(5352,8,7) 1217271*2^5647+1 | xGF(5646,7,6) 1220529*2^5541+1 | xGF(5539,6,5) 1293949*2^5534+1 | xGF(5532,9,8) 1503975*2^5533+1 | F5531 1536029*2^5929+1 | xGF(5927,9,2) 1539933*2^5256+1 | xGF(5254,5,2) 1567173*2^5449+1 | xGF(5446,3,2) 1892529*2^5843+1 | xGF(5841,7,4) 1901859*2^5390+1 | xGF(5387,9,2) xGF factors n=6000 to 7000, k=1000000 to 2000000 5/6/8 1051751*2^6951+1 | xGF(6950,11,4) 1145467*2^6712+1 | xGF(6711,11,2) 1174765*2^6804+1 | GF(6803,12) 1256837*2^6047+1 | xGF(6046,11,10) 1376533*2^6330+1 | xGF(6326,7,6) 1394843*2^6985+1 | xGF(6984,10,9) 1426293*2^6981+1 | xGF(6980,8,5) 1477241*2^6651+1 | GF(6649,11) 1523715*2^6248+1 | xGF(6247,7,4) 1724027*2^6283+1 | xGF(6282,11,9) xGF factors n=6500 to 7000, k=2100000 to 4999999 4/9/8 3269619*2^6587+1 | xGF(6586,5,3) 4362423*2^6661+1 | GF(6659,8) xGF factors n=7000 to 8000, k=100000 to 300000 3/31/8 101251*2^7244+1 | xGF(7243,9,5) 123737*2^7711+1 | xGF(7708,11,5) 141215*2^7669+1 | xGF(7668,4,3) 144401*2^7951+1 | xGF(7949,9,8) 166923*2^7108+1 | GF(7103,12) 168329*2^7187+1 | F7181 212457*2^7162+1 | xGF(7155,9,2) 218067*2^7946+1 | GF(7941,8) 247303*2^7094+1 | xGF(7093,11,7) 281135*2^7185+1 | xGF(7184,7,3) xGF factors n=7600 to 8000, k=300000 to 2000000 5/6/8 338379*2^7729+1 | xGF(7726,12,11) 622869*2^7798+1 | xGF(7796,11,4) 648853*2^7924+1 | xGF(7923,12,5) 696937*2^7688+1 | xGF(7686,11,9) 753267*2^7928+1 | xGF(7924,7,5) 802965*2^7742+1 | xGF(7740,9,8) 1244813*2^7841+1 | xGF(7839,9,8) xGF factors n=8000 to 10000, k=100001 to 499999 4/9/6 103101*2^8167+1 | xGF(8163,4,3) 110683*2^8776+1 | xGF(8775,9,7) 112191*2^8703+1 | xGF(8701,10,9) 113515*2^8594+1 | xGF(8593,10,3) 113605*2^8926+1 | xGF(8925,11,5) 120283*2^9618+1 | GF(9617,6) 127721*2^9265+1 | xGF(9264,11,7) 152683*2^9286+1 | xGF(9285,8,5) 165565*2^9316+1 | xGF(9315,12,11) 170305*2^9922+1 | xGF(9919,11,6) 212169*2^9266+1 | xGF(9260,9,7) 233115*2^9752+1 | xGF(9751,8,7) 240521*2^9331+1 | xGF(9330,11,9) 240637*2^8688+1 | xGF(8680,11,12) 260435*2^9693+1 | F9691 279037*2^8684+1 | xGF(8682,11,8) 316083*2^9730+1 | xGF(9729,5,3) 320201*2^9643+1 | GF(9641,5) 321723*2^9008+1 | xGF(9006,10,9) 355245*2^8015+1 | xGF(8013,7,6) 412503*2^8376+1 | xGF(8368,9,7) xGF factors n=8000 to 9000, k=500000 to 1000000 7/18/8 544091*2^8443+1 is a Factor of xGF(8441,9,5) 592131*2^8271+1 is a Factor of F8269 603261*2^8132+1 is a Factor of xGF(8130,9,2) 677629*2^8414+1 is a Factor of xGF(8412,11,8) 693917*2^8691+1 is a Factor of xGF(8687,9,8) 709695*2^8538+1 is a Factor of xGF(8536,7,4) xGF factors n=9000 to 10000, k=500000 to 1000000 8/19/8 615779*2^9105+1 | xGF(9104,11,9) 701379*2^9534+1 | xGF(9533,5,2) 704937*2^9128+1 | xGF(9127,11,6) 762335*2^9813+1 | xGF(9812,10,3) 791655*2^9971+1 | xGF(9968,6,5) xGF factors n=10000 to 11000, k=1000 to 400000 9/18/8 1083*2^10776+1 | xGF(10775,10,7) 1213*2^10832+1 | GF(10831,11) 1443*2^10456+1 | xGF(10455,11,5) 1667*2^10431+1 | GF(10430,11) 2025*2^10853+1 | xGF(10851,10,3) 2373*2^10274+1 | xGF(10273,12,5) 3199*2^10606+1 | GF(10605,3) 4325*2^10543+1 | xGF(10540,12,7) 4365*2^10477+1 | xGF(10475,7,5) 4417*2^10660+1 | xGF(10657,5,3) 7595*2^10337+1 | xGF(10334,10,9) 7865*2^10899+1 | xGF(10898,12,5) 8613*2^10001+1 | xGF(10000,6,5) 8947*2^10504+1 | xGF(10503,5,4) 9427*2^10038+1 | xGF(10037,12,11) 9597*2^10763+1 | xGF(10761,7,3) 18681*2^10225+1 | GF(10222,3) 23145*2^10394+1 | xGF(10393,11,3) 26415*2^10681+1 | xGF(10679,8,5) 28273*2^10846+1 | xGF(10845,11,7) 29817*2^10652+1 | xGF(10651,9,5) 32781*2^10596+1 | xGF(10595,11,2) 44013*2^10958+1 | xGF(10957,7,3) 44793*2^10062+1 | xGF(10059,8,7) 50443*2^10876+1 | xGF(10874,9,8) 64187*2^10587+1 | xGF(10586,8,5) 64529*2^10023+1 | xGF(10022,7,6) 69935*2^10209+1 | xGF(10208,7,4) 73009*2^10186+1 | xGF(10185,11,8) 98981*2^10753+1 | xGF(10752,9,5) 119253*2^10177+1 | xGF(10175,8) 154137*2^10946+1 | xGF(10945,11,3) 178299*2^10573+1 | 10570,5,4) 199647*2^10503+1 | xGF(10502,11,7) 225759*2^10670+1 | GF(10669,10) 234831*2^10483+1 | xGF(10482,7,2) 244359*2^10533+1 | xGF(10530,7,5) 268943*2^10265+1 | xGF(10260,9,2) 329647*2^10152+1 | xGF(10151,5,2) xGF factors n=11000 to 12000, k=1000 to 300000 10/3/8 1191*2^11696+1 | xGF(11695,10,9) 1409*2^11449+1 | xGF(11447,11,6) 1843*2^11664+1 | xGF(11663,11,3) 2301*2^11041+1 | xGF(11037,3,2) 2775*2^11172+1 | xGF(11170,10,3) 3017*2^11939+1 | xGF(11937,10,3) 3805*2^11778+1 | xGF(11775,11,5) 4055*2^11839+1 | xGF(11837,9,2) 4311*2^11201+1 | xGF(11200,10,7) 4427*2^11775+1 | xGF(11774,11,7) 4631*2^11325+1 | xGF(11324,11,7) 4735*2^11958+1 | xGF(11955,5,2) 4935*2^11017+1 | xGF(11015,8,5) 6345*2^11567+1 | GF(11563,10) 6625*2^11822+1 | xGF(11820,11,3) 7177*2^11840+1 | xGF(11839,10,7) 7275*2^11430+1 | GF(11428,5) 7723*2^11714+1 | xGF(11706,11,5) 8101*2^11868+1 | xGF(11866,7,3) 8287*2^11996+1 | xGF(11994,12,5) 12807*2^11914+1 | xGF(11912,6,5) 14727*2^11054+1 | xGF(11041,7,6) 15599*2^11589+1 | xGF(11588,11,9) 20703*2^11197+1 | xGF(11195,9,7) 24601*2^11004+1 | xGF(11003,11,6) 26163*2^11872+1 | xGF(11870,12,7) 30267*2^11840+1 | xGF(11839,11,4) 30721*2^11412+1 | GF(11411,3) 40539*2^11821+1 | xGF(11820,7,6) 81327*2^11782+1 | GF(11779,10) 108813*2^11016+1 | xGF(11015,9,7) 142383*2^11138+1 | GF(11133,12) 143199*2^11853+1 | xGF(11851,7,2) 147561*2^11785+1 | xGF(11784,5,3) 203355*2^11703+1 | F11695 233403*2^11193+1 | xGF(11192,10,3) 234773*2^11829+1 | xGF(11828,4,3) 244245*2^11784+1 |GF(11781,8) 287475*2^11288+1| xGF(11286,11,10) xGF factors n=12000 to 13000, k=1600 to 200000 10/7/8 1871*2^12343+1 | GF(12339,11) 1991*2^12351+1 | xGF(12349,11,7) 2141*2^12431+1 | GF(12428,7) 2303*2^12781+1 | xGF(12780,5,2) 2715*2^12686+1 | xGF(12684,10,7) 2937*2^12596+1 | xGF(12593,11,9) 3415*2^12148+1 | GF(12147,3) 3591*2^12824+1 | xGF(12822,11,3) 5619*2^12130+1 | xGF(12129,10,3) 5635*2^12316+1 | xGF(12315,11,5) 8283*2^12704+1 | xGF(12700,8,3) 10095*2^12070+1 | xGF(12069,12,7) 13399*2^12834+1 | xGF(12825,5,3) 14923*2^12332+1 | xGF(12330,8,7) 16449*2^12550+1 | xGF(12547,7,5) 24285*2^12590+1 | xGF(12588,8,3) 24427*2^12574+1 | GF(12572,11) 26927*2^12963+1 | GF(12962,5) 42593*2^12733+1 | xGF(12726,11,7) 47683*2^12410+1 | xGF(12409,3,2) 51919*2^12882+1 | xGF(12879,11,6) 58721*2^12313+1 | xGF(12312,12,7) 63863*2^12461+1 | GF(12460,12) 74729*2^12653+1 | xGF(12651,11,10) 79293*2^12472+1 | xGF(12471,11,6) 117085*2^12908+1 | xGF(12905,10,9) 121101*2^12917+1 | GF(12916,7) 145827*2^12087+1 | xGF(12085,7,3) 190129*2^12318+1 | xGF(12315,11,2) xGF factors n=13000 to 14000, k=1000 to 50000, 100000 to 200000 10/14/8 2033*2^13937+1 | xGF(13933,6,5) 2037*2^13268+1 | xGF(13267,11,4) 2361*2^13105+1 | xGF(13104,11,10) 2827*2^13630+1 | GF(13628,10) 3329*2^13315+1 | xGF(13313,9,8) 4431*2^13303+1 | xGF(13302,11,3) 7179*2^13615+1 | xGF(13614,10,7) 7185*2^13863+1 | xGF(13861,3,2) 7527*2^13635+1 | xGF(13634,7,4) 7695*2^13762+1 | xGF(13760,5,4) 8497*2^13024+1 | xGF(13019,12,5) 15337*2^13610+1 | xGF(13609,8,3) 16101*2^13833+1 | xGF(13831,9,7) 18989*2^13473+1 | xGF(13470,11,5) 21315*2^13298+1 | xGF(13293,11,8) 40361*2^13739+1 | xGF(13737,7,4) 44109*2^13251+1 | xGF(13249,8,3) 46857*2^13696+1 | xGF(13690,3,2) 48265*2^13626+1 | F13623 xGF factors n=14000 to 15000, k=1000 to 50000, 100000 to 200000 10/22/8 1173*2^14254+1 | F14252 known, Taura 1996 1227*2^14239+1 | xGF(14238,7,4) known, Keller&Gallot 2000 1357*2^14458+1 | xGF(14457,11,2) known, Keller&Gallot 2000 2011*2^14784+1 | xGF(14782,12,7) 2273*2^14013+1 | xGF(14012,8,7) 2389*2^14462+1 | GF(14458,11) 2473*2^14994+1 | xGF(14993,10,9) 2889*2^14133+1 | GF(14131,6) 3855*2^14992+1 | GF(14990,5) known, Noharra&Gallot 1999 7987*2^14728+1 | xGF(14727,3,2) 11671*2^14428+1 | xGF(14425,12,7) 17049*2^14222+1 | xGF(14221,12,11) 17217*2^14530+1 | F14528 known, Gostin 2000 20545*2^14558+1 | xGF(14556,9,5) 21561*2^14389+1 | xGF(14388,11,6) 22493*2^14797+1 | xGF(14793,5,3) 24967*2^14050+1 | xGF(14047,5,4) 116671*2^14364+1 | xGF(14361,12,5) 161277*2^14890+1 | xGF(14889,12,11) 180963*2^14228+1 | xGF(14227,11,5) xGF factors n=15000 to 16000, k=1600 to 50000 12/23/5 1881*2^15340+1 | xGF(15339,9,5) 2249*2^15039+1 | GF(15038,5) known, Cano&Gallot 1999 3729*2^15691+1 | xGF(15690,7,5) 4985*2^15651+1 | xGF(15649,8,5) 5779*2^15806+1 | xGF(15805,5,4) 6657*2^15183+1 | xGF(15180,9,2) 8365*2^15274+1 | xGF(15273,7,3) 10011*2^15600+1 | xGF(15599,12,11) 10661*2^15581+1 | xGF(15580,3,2) 14465*2^15365+1 | xGF(15363,11,5) 17991*2^15123+1 | xGF(15121,11,3) 18139*2^15326+1 | xGF(15323,8,7) 20295*2^15399+1 | xGF(15397,3,2) 23815*2^15402+1 | xGF(15395,11,9) 23921*2^15609+1 | xGF(15608,11,4) 44487*2^15310+1 | xGF(15308,11,5) xGF factors n=16000 to 17000, k=1600 to 40000 1/3/5 1601*2^16581+1 | xGF(16580,5,2) 2391*2^16545+1 | xGF(16542,4,3) 3563*2^16761+1 | GF(16760,3) 4033*2^17000+1 | xGF(16997,9,5) 4467*2^16987+1 | xGF(16984,3,2) 7469*2^16191+1 | xGF(16190,10,7) 9189*2^16467+1 | GF(16466,5) 9275*2^16317+1 | xGF(16313,9,5) 9375*2^16069+1 | GF(16065,6) 9657*2^16922+1 | xGF(16920,3,2) 10107*2^16016+1 | xGF(16015,11,5) 12997*2^16594+1 | xGF(16592,11,4) 13041*2^16423+1 | xGF(16418,9,5) 21799*2^16786+1 | xGF(16785,11,2) 33011*2^16201+1 | GF(16198,11) 36225*2^16465+1 | GF(16462,7) xGF factors n=15000 to 16350, k=100000 to 200000 11/11/8 113193*2^15453+1 | GF(15448,12) 146863*2^15696+1 | xGF(15693,5,2) 168445*2^16262+1 | xGF(16260,11,9) 179775*2^15960+1 | xGF(15955,9,8) xGF factors n=17000 to 18000, k=1000 to 40000 1/12/6 1017*2^17400+1 | xGF(17399,11,2) known, Keller&Gallot 1023*2^17188+1 | xGF(17185,3,2) known, Demichel 1635*2^17945+1 | xGF(17944,12,7) 1733*2^17405+1 | xGF(17403,12,7) 1803*2^17608+1 | xGF(17606,5,2) 2403*2^17378+1 | xGF(17377,7,5) 4033*2^17000+1 | xGF(16997,9,5) 4825*2^17306+1 | GF(17305,3) 5317*2^17196+1 | xGF(17195,10,9) 8133*2^17192+1 | xGF(17187,10,7) 11127*2^17618+1 | xGF(17617,9,7) 28253*2^17689+1 | xGF(17687,11,9) xGF factors n=18000 to 19000, k=1000 to 30000 1/19/6 1447*2^18954+1 | xGF(18952,5,2) 1967*2^18463+1 | xGF(18461,7,2) 2759*2^18217+1 | xGF(18215,10,9) 2787*2^18307+1 | xGF(18306,10,9) 4629*2^18742+1 | xGF(18740,11,6) 5019*2^18713+1 | xGF(18711,5,2) 6675*2^18560+1 | xGF(18556,3,2) 6877*2^18638+1 | xGF(18637,3,2) 8961*2^18911+1 | xGF(18910,7,5) 15267*2^18464+1 | xGF(18462,3,2) 18997*2^18794+1 | GF(18793,3) 20829*2^18643+1 | xGF(18642,12,5) 21607*2^18202+1 | GF(18201,6) 23457*2^18708+1 | xGF(18707,7,5) xGF factors n=19000 to 20000, k=1000 to 20000 1/31/6 1383*2^19404+1 | GF(19399,8) known, Demichel 1996 1389*2^19671+1 | xGF(19669,7,2) known, Heyman & Gallot 1998 1979*2^19483+1 | xGF(19480,11,8) 2061*2^19484+1 | xGF(19483,11,9) 2305*2^19358+1 | xGF(19357,3,2) 3641*2^19143+1 | xGF(19141,5,2) 3693*2^19777+1 | xGF(19775,12,7) 3707*2^19799+1 | xGF(19797,11,9) 5321*2^19111+1 | xGF(19109,11,6) 5491*2^19536+1 | xGF(19534,11,10) 13323*2^19220+1 | F19211 known, Gostin 2001 xGF factors n=20000 to 21000, k=1200 to 15000 2/6/6 1803*2^20021+1 | xGF(20020,7,6) 2439*2^20709+1 | xGF(20706,7,6) 2805*2^20535+1 | xGF(20533,11,4) 3761*2^20531+1 | xGF(20525,7,5) 4523*2^20653+1 | xGF(20652,8,5) 6715*2^20126+1 | xGF(20125,4,3) 6925*2^20468+1 | xGF(20467,8,3) 12091*2^20452+1 | xGF(20451,9,5) xGF factors n=21000 to 22000, k=1200 to 15000 2/12/6 1401*2^21556+1 | xGF(21554,9,8) 1599*2^21947+1 | xGF(21940,3,2) 1621*2^21392+1 | xGF(21389,9,8) 2207*2^21799+1 | xGF(21793,11,6) 3063*2^21557+1 | xGF(21556,10,9) 5851*2^21164+1 | GF(21163,12),known Axelsson, Fougeron, Woltman & Gallot 2003 6043*2^21660+1 | xGF(21658,11,4) 6945*2^21976+1 | xGF(21968,11,3) 7353*2^21786+1 | xGF(21785,10,3) 10459*2^21398+1 | xGF(21396,12,5) 14257*2^21462+1 | GF(21459,10), Axelsson, et al. 2003 xGF factors n=22000 to 24000, k=1200 to 15000 2/18/6 1565*2^22573+1 | xGF(22572,5,3) 1869*2^23229+1 | GF(23227,7) 2213*2^23409+1 | xGF(23407,5,3) 2747*2^23399+1 | xGF(23398,11,5) 3055*2^23546+1 | GF(23545,12) Axelsson et al. 3431*2^22595+1 | xGF(22591,9,5) 4241*2^23195+1 | xGF(23193,10,7) 4407*2^23254+1 | xGF(23252,5,3) 4549*2^22330+1 | xGF(22329,5,2) 4777*2^22298+1 | F22296 Gostin 5197*2^23546+1 | xGF(23544,9,8) 6279*2^23958+1 | xGF(23956,9,7) 6731*2^23567+1 | xGF(23564,7,3) 7581*2^22233+1 | xGF(22231,11,5) 8351*2^22301+1 | xGF(22299,11,2) 8589*2^22271+1 | GF(22270,10) Axelsson et al. 8685*2^23280+1 | xGF(23279,7,6) 8975*2^22945+1 | xGF(22941,11,7) 10005*2^22339+1 | GF(22336,6) Axelsson et al. 10785*2^22306+1 | xGF(22304,5,2) 11265*2^23764+1 | xGF(23760,10,3) 12227*2^23919+1 | xGF(23917,9,2) 12513*2^23368+1 | xGF(23367,11,4) 14799*2^22414+1 | xGF(22413,11,8) xGF factors n=24000 to 30000, k=1201 to 9999 3/9/6 1285*2^24166+1 | xGF(24165,11,3) 1305*2^24852+1 | xGF(24850,9,2) 1335*2^26356+1 | xGF(26354,7,3) 1383*2^24084+1 | xGF(24081,6,5) 1387*2^28268+1 | xGF(28265,7,3) 1409*2^25429+1 | xGF(25428,6,5) 1723*2^25512+1 | xGF(25509,12,11) 1813*2^28322+1 | xGF(28320,5,3) 2079*2^28754+1 | xGF(28752,7,4) 2307*2^26500+1 | xGF(26499,6,5) 2871*2^25444+1 | xGF(25443,11,5) 2955*2^24021+1 | xGF(24019,7,4) 2965*2^28202+1 | xGF(28200,7,6) 3335*2^24129+1 | xGF(24128,6,5) 3465*2^24850+1 | xGF(24848,7,5) 3551*2^28813+1 | xGF(28810,11,10) 4131*2^29683+1 | xGF(29674,11,4) 6591*2^25391+1 | xGF(25389,11,5) 6601*2^29236+1 | xGF(29233,11,3) 7165*2^29584+1 | xGF(29583,3,2) 7489*2^27602+1 | GF(27601,12) Axelsson & others 2003 7627*2^24528+1 | xGF(24525,12,5) 8201*2^24453+1 | xGF(24452,12,11) 8323*2^26082+1 | xGF(26079,7,4) 9489*2^25113+1 | xGF(25112,11,4) 9555*2^25021+1| xGF(25019,5,3) 9649*2^26106+1 | GF(26105,6) Axelsson & others 2003 xGF factors n=30001 to 30999, k=1201 to 4999 3/13/6 2017*2^30626+1 | xGF(30623,5,2 2211*2^30176+1| xGF(30174,7,2) xGF factors n=31000 to 32000, k=1201 to 4999 3/16/6 1917*2^31963+1 | xGF(31962,11,7) xGF factors n=32000 to 33000, k=1201 to 4999 3/16/6 1205*2^32577+1 | xGF(32576,11,7) 3669*2^32145+1 | xGF(32139,5,2) xGF factors n=33000 to 34000, k=1201 to 4999 3/27/6 2955*2^33711+1 | xGF(33705,7,4) 4035*2^33698+1 | xGF(33697,11,3) xGF factors n=34000 to 35000, k=1201 to 4999 3/29/6 1239*2^34177+1 | xGF(34174,5,4) 3879*2^34874+1 | xGF(34871,11,9) xGF factors n=35000 to 36000, k=1201 to 4999 4/17/6 1299*2^35133+1 | xGF(35131,9,5) 1365*2^35678+1 | xGF(35676,9,2) 1461*2^35547+1 | xGF(35538,10,3) 3205*2^35170+1 | xGF(35169,5,3) 3753*2^35192+1 | xGF(35189,11,5) 4737*2^35764+1 | xGF(35755,11,9) 4967*2^35687+1 | xGF(35684,10,7) xGF factors n=36000 to 37000, k=1201 to 4999 5/11/6 3913*2^36060+1 | xGF(36059,12,7) 3921*2^36019+1 | GF(36016,6) Samidoost et al. xGF factors n=37000 to 38000, k=1201 to 9999 7/10/6 4455*2^37343+1 | xGF(37342,10,7) Fougeron 2004 xGF factors n=110000 to 120000, k=1201 to 2999 3/9/9 1453*2^117686+1 | xGF(117685,8,5) 1665*2^116359+1 | GF(116355,12) 1801*2^117644+1 | xGF(117642,10,3) 2127*2^111664+1 | xGF(111663,7,2) 2691*2^118931+1 | xGF(118924,8,5) FibonacciFactorial+1 to 673 [1, 2, 3, 4, 5, 6, 7, 8, 22, 28] 8/24/6 FibonacciFactorial-1 1 to 559 [4, 5, 6, 7, 8, 14, 15] 8/24/6 LucasFactorial-1 1 to 610 [1, 3, 6] 8/24/6 poworial+/-1 105000 to 110000, 115000 to 120000, 125000 to 145000, 146000 to 200000 10/30/6 near Cullen and near Woodall to 2000k 11/12/14 8:38 AM 4/15/2019