is 2 3157771 - 1
has 950584 decimal digits
takes 0.269 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L8559FC7BB49288A9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26818.875667.6471 %31577716374375704.654510.4264 %23.530171.0203 %
Target2641.127265.6250 %1500013000000.01051.5807 %1.137766.1684 %
Difference+4+17.7485+2.0221 %+3142771+636137570+4.6440+8.8457%+22.3924+4.8519 %

Known prime factors (1 factor, 72.9 bits, 0.00230954% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
315777189971370562162671188872272.9301424602521243033
3 × 11 × 43169773371001
2020-12-261143169773371001302.85290,264542,132

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2004-02-07ANONYMOUSv4_computers2048204800--0.0020.577%
2009-07-03Carsten Kossendeymother15000191250--0.0031.445%
2011-09-08Squeeky_SquirrelT7500_2200600009600006--0.0133.085%
2014-05-26JossManual testing8032680326--0.0101.334%
2014-09-25JossManual testing100652100652--0.0121.502%
2015-05-16Squeeky_SquirrelP4_2600215000612750012--0.0665.559%
2018-08-18JossManual testing4300002580000---4.957%
2018-08-19JossManual testing4300003440000---5.298%
2018-08-19JossManual testing4300003870000---5.438%
2018-08-20JossManual testing4300004300000--0.0795.563%
2019-06-14mikrMSI300000010000000012--1.02211.005%
2021-01-18JossManual testing46000031577716---5.223%
2021-06-15JossManual testing31577713157771--0.3905.532%
2021-12-19JossManual testing3157771108997350--1.35911.169%
2021-12-22JossManual testing3157771637437570--5.74413.874%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-06-23David Campeauv4_computers212600.024
2009-04-09S485122USB-Z2602610.049
2011-11-01markroldgamer2612620.097
2013-01-07dbaughManual testing2622630.311
2015-02-11VictordeHollanderManual testing2632640.622
2015-02-11VictordeHollanderManual testing2642651.183
2015-06-17ThaManual testing2652662.366
2021-02-21JossManual testing265266
2017-04-22Gordon SpenceManual testing2662674.733
2021-02-22JossManual testing266267
2019-01-28TJAOIManual testing2672689.466


ECM factoring results:
Total ECM effort:3.172 GHz-days
Estimated T-Level:20.498
DigitsB1CompleteFacMiss
20110001.07734.064%
25500000.10090.516%
302500000.00699.373%


ECM Summary

B1B2factorcurvesGHz-days
500005000000222.469
50000500000060.703


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-12-30ANONYMOUSv4_computers8559FC7BB49288A90.269
1998-08-24ANONYMOUSv4_computers8559FC7BB49288A90.269
1999-05-23ANONYMOUSv4_computers8559FC7BB49288A90.269


PRP results:
dateuseridcompidcofactorsres64
2020-12-27mrhw
8997137056216267118887
8589484D34DEC873


CERT results:
dateuseridcompid
2020-12-27gLaussmanu


P-1 factor-bounds graph:
B1 = 3157771, B2 = 637437570 (P-1 stage 2)
B1 = 3157771, B2 = 108997350 (P-1 stage 2)
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3157771 (P-1 stage 1)
B1 = 3000000 (P-1 stage 1)
B1 = 430000, B2 = 4300000 (P-1 stage 2)
B1 = 430000, B2 = 3870000 (P-1 stage 2)
B1 = 460000, B2 = 3157771 (P-1 stage 2)
B1 = 430000, B2 = 3440000 (P-1 stage 2)
B1 = 430000, B2 = 2580000 (P-1 stage 2)
B1 = 215000, B2 = 6127500 (P-1 stage 2)
B1 = 460000 (P-1 stage 1)
B1 = 430000 (P-1 stage 1)
B1 = 215000 (P-1 stage 1)
B1 = 60000, B2 = 960000 (P-1 stage 2)
B1 = 100652 (P-1 stage 1)
B1 = 80326 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=20.5 ~= 51-bit
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Last modified: 2024-02-29T14:28:04+00:00