is 2 2375431 - 1
has 715076 decimal digits
takes 0.160 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L1D66AEA707342201double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26950.259068.1159 %10000005716510803.14358.2378 %53.402570.7425 %
Target2630.671965.0794 %100007000000.00471.2721 %0.676565.5236 %
Difference+6+49.5871+3.0366 %+990000+570951080+3.1388+6.9656%+52.7259+5.2189 %

Known prime factors (1 factor, 77.8 bits, 0.00327594% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
23754312663577382914515029006812477.81856065138977190140
22 × 34 × 5 × 7 × 17 × 31 × 53 × 177008191
2023-01-258117700819116,4000.94471.7644

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-21ANONYMOUSv4_computers2048204800--0.0010.653%
2010-11-07JossManual testing1500015000--0.0020.496%
2010-11-15JossManual testing2000020000--0.0020.615%
2010-12-29markrtiny10000020250006--0.0214.285%
2014-09-10JossManual testing127020127020--0.0131.835%
2015-10-01mikrMSI300000010000000012--0.81211.560%
2023-01-25JossManual testing100000057165108022477.8183.50213.224%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-03-01bezaharv4_computers212590.016
2016-02-23Mark RoseManual testing2592600.032
2009-01-15Sturle Sundegibsy.ifi2602610.065
2012-05-31Sebastian HornbostelManual testing2612620.129
2013-12-04Jerry HallettManual testing2622630.413
2015-03-09VictordeHollanderManual testing2632652.399
2015-10-31ramgeisManual testing2652663.146
2017-06-16Gordon SpenceManual testing2662676.292
2019-04-01TJAOIManual testing26726812.58
2021-06-10TJAOIManual testing26826925.17


ECM factoring results:
Total ECM effort:17.384 GHz-days
Estimated T-Level:23.466
DigitsB1CompleteFacMiss
20110007.4900.056%
25500000.69349.998%
302500000.04495.717%
3510000000.00299.796%


ECM Summary

B1B2factorcurvesGHz-days
50000500000017215.23
500006750000141.426
50000700000070.726


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15bezaharv4_computers1D66AEA7073422010.160
2018-05-14kkmrkkblmbrbkold1D66AEA7073422010.160


PRP results:
dateuseridcompidcofactorsres64
2023-01-25LordJuliusWhitebox
266357738291451502900681
750E5CE4AE5CD018


CERT results:
dateuseridcompid
2023-01-25Chalkey300i7-2


P-1 factor-bounds graph:
B1 = 1000000, B2 = 571651080 (P-1 stage 2)
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 100000, B2 = 2025000 (P-1 stage 2)
B1 = 127020 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
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105
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109
TF factor-bounds graph:
269
268
267
266
265
263
262
261
260
259
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=23.47 ~= 61-bit
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Last modified: 2024-03-13T02:15:48+00:00