is 2 3745867 - 1
has 1127619 decimal digits
takes 0.393 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LDA51EF3D494582F1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2677.932567.1642%10000001303648501.22578.4098%9.158169.9256%
Target2640.950265.6250%220004500000.00692.1103%0.957166.3504%
Difference+3+6.9823+1.5392%+978000+129914850+1.2188+6.2995%+8.2010+3.5752%

Known prime factors (1 factor, 101.8 bits, 0.00271848% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3745867450853043305558232373098822829731101.831601800655636676679088044
22 × 3 × 13933 × 1076587 × 1089709 × 3068083
2015-11-14108970930680834.193e+100.18240.3377

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-07Carsten Kossendeyleela20000265000---0.005--1.150%
2013-03-14Squeeky_SquirrelT7500_22001100002035000---0.033--2.956%
2015-11-14mikrMSI1600000660000001231101.8310.7780.7871.5567.948%
2022-05-16Jocelyn LaroucheManual testing500000130364850---1.154--7.772%
2022-08-25Jocelyn LaroucheManual testing10000001000000---0.152--2.902%
2022-09-13Jocelyn LaroucheManual testing1000000130364850---1.226--8.410%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-11-29ANONYMOUSv4_computers21260--0.041--
2009-03-05S485122USB-A260261--0.041--
2011-05-06markrManual testing21262--0.164--
2012-05-10GrunwalderGIMPManual testing21263--0.426--
2015-01-23VictordeHollanderManual testing263264--0.524--
2015-01-23VictordeHollanderManual testing264265--0.997--


ECM factoring results:
Total ECM effort:0.897 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000060.897


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-01-05ANONYMOUSv4_computersDA51EF3D494582F10.393
1999-12-23ANONYMOUSv4_computersDA51EF3D494582F10.393


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-20kkmrkkblmbrbkManual testing
4508530433055582323730988228297
7433BA64195294__no
2017-12-04Oliver KruseThreadripper
4508530433055582323730988228297
7433BA64195294__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 130364850 (P-1 stage 2)
B1 = 500000, B2 = 130364850 (P-1 stage 2)
B1 = 1600000, B2 = 66000000 (P-1 stage 2)
B1 = 1600000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 110000, B2 = 2035000 (P-1 stage 2)
B1 = 110000 (P-1 stage 1)
B1 = 20000, B2 = 265000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
265
264
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67.8
ECM T-Level=1.15 ~= -13-bit
250
260
270
280
290
2100
2110
Last modified: 2023-04-26T21:34:10+00:00