is 2 3168031 - 1
has 953673 decimal digits
takes 0.270 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L73A4FABDB488C1EFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26937.684968.1159 %10000002411755501.73837.5891 %39.423270.5357 %
Target2641.123565.6250 %1500013000000.01051.5817 %1.134066.1687 %
Difference+5+36.5613+2.4909 %+985000+239875550+1.7278+6.0074%+38.2891+4.3670 %

Known prime factors (1 factor, 70.1 bits, 0.00221339% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
316803112836800163771353882392270.121202599030182649
3 × 26161 × 2581438403
2021-07-2426161258143840375.42617.36032.418

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2004-02-14ANONYMOUSv4_computers2048204800--0.0020.577%
2009-07-03Carsten Kossendeymother15000191250--0.0031.446%
2011-09-10Squeeky_SquirrelT7500_2200600009600006--0.0133.087%
2014-06-01JossManual testing8026080260--0.0101.334%
2014-09-25JossManual testing100520100520--0.0121.502%
2015-08-20JossManual testing433767433767--0.0542.885%
2015-11-07JossManual testing551792551792--0.0683.160%
2015-11-30HBendtzManual testing5000001200000012--0.1396.901%
2019-08-12mikrMSI300000010000000012--1.02211.008%
2022-02-22JossManual testing1000000134343300--1.25910.618%
2022-09-12JossManual testing1000000241175550--2.14511.418%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-02-08ANONYMOUSv4_computers212590.012
2001-07-29David Campeauv4_computers212600.024
2009-04-08S485122USB-Z2602610.048
2011-10-29markrManual testing212620.097
2013-01-03dbaughManual testing2622630.310
2015-02-11VictordeHollanderManual testing2632640.620
2015-02-11VictordeHollanderManual testing2642651.179
2015-06-17ThaManual testing2652662.359
2017-04-23Gordon SpenceManual testing2662674.718
2019-01-14TJAOIManual testing2672689.435
2021-04-19TJAOIManual testing26826918.87


ECM factoring results:
Total ECM effort:7.792 GHz-days
Estimated T-Level:21.138
DigitsB1CompleteFacMiss
20110002.4568.575%
25500000.22879.642%
302500000.01498.569%


ECM Summary

B1B2factorcurvesGHz-days
500005000000364.304
50000635000070.919
50000665000050.672
500006750000141.897


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-19ANONYMOUSv4_computers73A4FABDB488C1EF0.270
1999-06-06vidmarv4_computers73A4FABDB488C1EF0.270


PRP results:
dateuseridcompidcofactorsres64
2021-07-26kutensryzen2
1283680016377135388239
B92AF32744F82CC6


CERT results:
dateuseridcompid
2021-07-26CaptainEntropyP4.3800.Sony.Vaio


P-1 factor-bounds graph:
B1 = 1000000, B2 = 241175550 (P-1 stage 2)
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 134343300 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 500000, B2 = 12000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 551792 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 433767 (P-1 stage 1)
B1 = 60000, B2 = 960000 (P-1 stage 2)
B1 = 100520 (P-1 stage 1)
B1 = 80260 (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)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
260
259
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=21.14 ~= 54-bit
250
260
270
280
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Last modified: 2024-02-09T03:30:02+00:00