is 2 3126007 - 1
has 941022 decimal digits
takes 0.266 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L40281176DAED2BB4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26819.067467.6471 %31260073547635002.75019.6718 %21.817570.7762 %
Target2641.138665.6250 %1500012000000.00981.5419 %1.148466.1550 %
Difference+4+17.9288+2.0221 %+3111007+353563500+2.7403+8.1299%+20.6691+4.6211 %

Known prime factors (1 factor, 69.5 bits, 0.00222431% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31260078535266903675042811112169.532136520278164365
5 × 59 × 167 × 2771141341
2021-01-22167277114134138.19118.63334.800

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2004-02-07ANONYMOUSv4_computers2048204800--0.0020.575%
2009-07-03Carsten Kossendeymother15000180000--0.0031.416%
2011-08-29Squeeky_SquirrelT7500_220010500021525006--0.0274.067%
2016-09-30Squeeky_Squirreli5-5250U_1600195000546000012--0.0595.364%
2018-07-15JossManual testing202000060600006--0.2766.530%
2022-08-19JossManual testing3126007354763500--3.39412.966%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-05-06David Campeauv4_computers212600.025
2009-04-12S485122USB-A2602610.049
2011-11-16markroldgamer2612620.098
2013-01-03dbaughManual testing2622630.314
2015-02-11VictordeHollanderManual testing2632640.628
2015-02-11VictordeHollanderManual testing2642651.195
2015-06-14ThaManual testing2652662.391
2017-04-15Gordon SpenceManual testing2662674.781
2019-01-14TJAOIManual testing2672689.56


ECM factoring results:
Total ECM effort:3.635 GHz-days
Estimated T-Level:20.569
DigitsB1CompleteFacMiss
20110001.23129.207%
25500000.11489.237%
302500000.00799.284%


ECM Summary

B1B2factorcurvesGHz-days
500005000000293.284
50000500000030.351


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-11ANONYMOUSv4_computers40281176DAED2BB40.266
1999-07-26Stefano Gibelliniv4_computers40281176DAED2BB40.266


PRP results:
dateuseridcompidcofactorsres64
2021-01-22mrhw
853526690367504281111
CFA7690449E3383A


CERT results:
dateuseridcompid
2021-01-23curtiscwcm220a-25l


P-1 factor-bounds graph:
B1 = 3126007, B2 = 354763500 (P-1 stage 2)
B1 = 3126007 (P-1 stage 1)
B1 = 2020000, B2 = 6060000 (P-1 stage 2)
B1 = 2020000 (P-1 stage 1)
B1 = 195000, B2 = 5460000 (P-1 stage 2)
B1 = 105000, B2 = 2152500 (P-1 stage 2)
B1 = 195000 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 15000, B2 = 180000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=20.57 ~= 52-bit
250
260
270
JSON version of this page
Last modified: 2024-02-29T14:28:04+00:00