is 2 1355131 - 1
has 407936 decimal digits
takes 0.052 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L86AEF1C348C93FA1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26721.927068.6567%500000150000000.07144.8879%21.998470.1887%1.5320%
PrimeNet2560.007162.5000%60001000000.00062.6150%0.007763.4806%0.9806%
GPU722600.113365.0000%5500400000.00040.9825%0.113765.3439%0.3439%
Difference+7+21.8136+3.6567%+494500+14960000+0.0710+3.9054%+21.8846+4.8449%+4.8449%

Known prime factors (1 factor, 61.2 bits, 0.00451922% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
135513127258514263410139771961.2411005751999748
22 × 619 × 406200323
2011-05-096194062003230.23591.22522.2883

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00Team Prime Ribv4_computers15000217500---0.001--0.798%
2016-03-17T19:05:26alpertronManual testing5000001500000012---0.071--4.888%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-03T00:00:00ANONYMOUSv4_computers21257--0.014--
2003-07-06T00:00:00ANONYMOUSv4_computers21258--0.028--
2022-03-07T17:32:36LordJuliusManual testing258260--0.085--
2009-02-14T14:32:00Sturle Sundegooch.ifi260261--0.113--


ECM factoring results:

Old Calculation Method

Total ECM effort:25.219 GHz-days
Estimated T-Level:25.391
DigitsB1CurvesCompleteFacMiss
2011000301 / 1003.0104.855%
2550000301 / 2801.07534.064%
3025000050 / 6400.07892.479%

New Calculation Method

Total ECM effort:25.219 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100014.6540.000%
25500001.65119.189%
302500000.14186.866%
3510000000.01099.021%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000025111.75
250000350000005013.47


Lucas-Lehmer results:
No L-L results for M1355131


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T08:04:04Oliver KruseGTX-2
2725851426341013977
560AE634AE75ED__no
2017-10-24T16:59:13kkmrkkblmbrbkc4.xlarge
2725851426341013977
560AE634AE75ED__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
101
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101
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109
TF factor-bounds graph:
267
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258
257
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2100
Last modified: 2022-03-07T17:32:36+00:00