is 2 2231351 - 1
has 671704 decimal digits
takes 0.147 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LE3F651D527BC9F63double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26826.712567.6471 %2000000650000000.51797.0371 %27.230469.9238 %
Target2620.275364.5161 %110009000000.00571.6315 %0.281065.0951 %
Difference+6+26.4371+3.1309 %+1989000+64100000+0.5122+5.4056%+26.9494+4.8287 %

Known prime factors (1 factor, 73.9 bits, 0.00331006% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2231351171304922794641613564492373.8593838592018795824
24 × 13835659 × 17340121
2020-04-251383565917340121857.261.33732.6845

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-27ANONYMOUSv4_computers204820480012--0.0010.782%
2010-10-26Oscar Östlin7501175011--0.0071.596%
2011-01-13Oscar Östlin8500016150006--0.0164.413%
2014-05-26JossManual testing113765113765--0.0111.963%
2014-09-30JossManual testing142530142530--0.0142.181%
2015-05-07Squeeky_SquirrelP4_260016000046000006--0.0385.953%
2015-11-25Alexander DubrovinManual testing10000001000000012--0.1428.101%
2016-01-06Alexander DubrovinManual testing20000006500000012--0.51811.419%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.069
2009-01-10Sturle Sundemorovan.ifi2602610.069
2012-04-20Sebastian HornbostelManual testing2612620.138
2013-01-23dbaughManual testing2622630.440
2015-03-06VictordeHollanderManual testing2632640.880
2015-03-06VictordeHollanderManual testing2642651.674
2015-10-25ramgeisManual testing2652663.349
2016-12-23Gordon SpenceManual testing2662676.698
2019-04-15TJAOIManual testing26726813.40


ECM factoring results:
Total ECM effort:5.442 GHz-days
Estimated T-Level:21.157
DigitsB1CompleteFacMiss
20110002.5008.208%
25500000.23179.349%
302500000.01598.552%


ECM Summary

B1B2factorcurvesGHz-days
500005000000635.271
50000500000020.172


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15ANONYMOUSv4_computersE3F651D527BC9F630.147
2018-04-20kkmrkkblmbrbkoldE3F651D527BC9F630.147


PRP results:
dateuseridcompidcofactorsres64
2020-04-26atrenchDesktop
17130492279464161356449
ED753A8CED89FB57
2020-04-28Chang Chia-Tcheex03
17130492279464161356449
ED753A8CED89FB57


CERT results:
No CERT results for M2231351


P-1 factor-bounds graph:
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1000000, B2 = 10000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 160000, B2 = 4600000 (P-1 stage 2)
B1 = 85000, B2 = 1615000 (P-1 stage 2)
B1 = 160000 (P-1 stage 1)
B1 = 142530 (P-1 stage 1)
B1 = 113765 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
108
102
103
104
105
106
107
108
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.16 ~= 54-bit
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Last modified: 2024-02-29T14:28:04+00:00