is 2 1567117 - 1
has 471750 decimal digits
takes 0.070 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26718.960968.6567%500000150000000.08354.9746%19.044470.2159%1.5592%
PrimeNet2570.012363.1579%70001100000.00082.4766%0.013164.0703%0.9124%
GPU722610.196065.5738%6500600000.00061.0515%0.196665.9358%0.3620%
Difference+6+18.7649+3.0829%+493500+14940000+0.0829+3.9231%+18.8478+4.2802%+4.2802%

Known prime factors (3 factors, 163.5 bits, 0.01043552% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
156711723193331611031.111740
22 × 5 × 37
-5372.118e-104.368e-76.591e-7
1567117176531765735531918232063.9375632373515683
3 × 1877457838561
2017-06-14318774578385611.76776,624.912,374
15671174142741467195669986492168.489132177159305772
22 × 3 × 7 × 1573537610783
2017-12-037157353761078357.4555,552.510,371

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1567117409435978240302733924779425032995.048
15671179608397662316711075278678994893099.600
1567117731325466189859801170001618763027884712740132.426
15671171696187405217926158794451352820770373781850067844750163.537
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T19:16:25alpertronManual testing5000001500000012-
skipped known factor: 2319333161
--0.084--4.975%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2017-06-14T15:08:38TJAOIManual testing263264*63.937200.7490.1421.522


ECM factoring results:

Old Calculation Method

Total ECM effort:31.287 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:31.287 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100014.6540.000%
25500001.67418.740%
302500000.14486.623%
3510000000.01099.005%


ECM Summary

B1B2factorcurvesGHz-days
50000500000024813.88
50000500000030.168
250000400000005017.24


Lucas-Lehmer results:
No L-L results for M1567117


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T13:09:13alpertronManual testing
2319333161
17653176573553191823
89257BF3713229__no
2017-10-18T09:02:50Oliver KruseThreadripper
2319333161
17653176573553191823
89257BF3713229__no
2017-12-04T14:30:51kkmrkkblmbrbkc4.xlarge
2319333161
17653176573553191823
414274146719566998649
9FD2693C53BDB8__no
2017-12-04T22:00:37YarBerManual testing
2319333161
17653176573553191823
414274146719566998649
9FD2693C53BDB8__no
2017-12-05T04:08:44Chang Chia-Tcheexbpc13
2319333161
17653176573553191823
414274146719566998649
9FD2693C53BDB8__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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1010
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TF factor-bounds graph:
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2100
Last modified: 2022-08-09T09:40:28+00:00