.LOG

active   

NearGCW:
(k+/-1)*(2^n)^k+/-1 up to 1m bits 3/30/9

Proth, primegrid:
k*2^n+1, n>1m, 37<k<79 5/27/9
k*2^n+1, n>800k, 105<k<199 10/5/9

Completed/inactive

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=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 is a Factor of GF(15448,12)
146863*2^15696+1 is a Factor of xGF(15693,5,2)
168445*2^16262+1 is a Factor of xGF(16260,11,9)
179775*2^15960+1 is a Factor of 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 


10:20 AM 10/5/2009