is 2 3131669 - 1
has 942727 decimal digits
takes 0.267 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L792D8AB2EB694004double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26938.122468.1159 %10631662267496001.64877.5706 %39.771170.5297 %
Target2641.136665.6250 %1500012000000.00981.5425 %1.146466.1552 %
Difference+5+36.9859+2.4909 %+1048166+225549600+1.6389+6.0281%+38.6247+4.3745 %

Known prime factors (1 factor, 74.7 bits, 0.00238603% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3131669311664537745048567662972374.7224976013393258492
22 × 3 × 13 × 17 × 4243 × 442216547
2014-01-2142434422165471,221.72.97395.5534

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2004-02-07ANONYMOUSv4_computers2048204800--0.0020.575%
2009-07-03Carsten Kossendeymother15000183750--0.0031.425%
2011-09-03Squeeky_SquirrelT7500_220035000516250--0.0082.368%
2011-09-17USAFSSP4_2600550009350006--0.0133.014%
2013-08-30Squeeky_SquirrelT7500_220011000024750006--0.0294.222%
2020-12-31JossManual testing31316631316696---5.041%
2022-01-24JossManual testing1063166119912100--1.14810.504%
2022-09-07JossManual testing1063166226749600--2.03411.381%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-05-13David Campeauv4_computers212600.025
2009-04-13S485122USB-A2602610.049
2011-11-15Grant McCrackenhome2612620.098
2013-01-07dbaughManual testing2622630.313
2021-01-04JossManual testing263264
2021-01-12JossManual testing264265
2022-03-20LordJuliusManual testing265266
2022-03-20LordJuliusManual testing266267
2021-07-02JossManual testing267268
2021-12-14JossManual testing268269


ECM factoring results:
Total ECM effort:0.711 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
10.117
50000500000060.594


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-31irreally9002v4_computers792D8AB2EB6940040.267


PRP results:
dateuseridcompidcofactorsres64
2017-10-30Oliver KruseGTX-1
31166453774504856766297
EE4DC496582C2787
2017-12-12kkmrkkblmbrbkc4.xlarge
31166453774504856766297
EE4DC496582C2787


CERT results:
No CERT results for M3131669


P-1 factor-bounds graph:
B1 = 1063166, B2 = 226749600 (P-1 stage 2)
B1 = 1063166, B2 = 119912100 (P-1 stage 2)
B1 = 1063166 (P-1 stage 1)
B1 = 313166, B2 = 3131669 (P-1 stage 2)
B1 = 313166 (P-1 stage 1)
B1 = 110000, B2 = 2475000 (P-1 stage 2)
B1 = 110000 (P-1 stage 1)
B1 = 55000, B2 = 935000 (P-1 stage 2)
B1 = 35000, B2 = 516250 (P-1 stage 2)
B1 = 55000 (P-1 stage 1)
B1 = 35000 (P-1 stage 1)
B1 = 15000, B2 = 183750 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
250
260
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Last modified: 2024-02-09T03:30:02+00:00