is 2 2131691 - 1
has 641703 decimal digits
takes 0.140 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
Actual26713.939167.1642%500000150000000.12305.1625%14.062168.8593%1.6951%
PrimeNet2580.018062.0690%90001700000.00172.7294%0.019763.1042%1.0353%
GPU722620.288264.5161%100001500000.00171.4864%0.289965.0435%0.5274%
Difference+5+13.6509+2.6481%+490000+14850000+0.1213+3.6761%+13.7722+3.8158%+3.8158%

Known prime factors (2 factors, 113.8 bits, 0.00533635% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
213169112073386218171340.135283188
22 × 3 × 23599
-4235998.906e-80.00010.0002
2131691145105387015000174200072373.6203403527692686233
3 × 7 × 162072747270773
2022-01-0271620727472707731,113.5841,8461,572,335

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
21316911751913379769127178247274342249271935113.754
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-20T14:55:30alpertronManual testing5000001500000012-
skipped known factor: 1207338621817
--0.123--5.162%


Trial Factoring results:
No TF results for M2131691


ECM factoring results:

Old Calculation Method

Total ECM effort:1.450 GHz-days
Estimated T-Level:0.800
DigitsB1CurvesCompleteFacMiss
201100016 / 1000.16085.146%
255000016 / 2800.05794.436%

New Calculation Method

Total ECM effort:1.450 GHz-days
Estimated T-Level:0.800
DigitsB1CompleteFacMiss
20110000.53258.760%
25500000.04895.276%
302500000.00399.702%


ECM Summary

B1B2factorcurvesGHz-days
50000500000060.512
50000500000030.256
50000675000070.682


Lucas-Lehmer results:
No L-L results for M2131691


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-08T14:50:33Oliver KruseGTX-3
1207338621817
09D8BAECFD276D__no
2017-11-18T01:52:57kkmrkkblmbrbkc4.xlarge
1207338621817
09D8BAECFD276D__no
2022-01-03T07:14:38MarkSdesktop-i7
1207338621817
14510538701500017420007
A69F38982DD256EEno


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-05T08:13:38+00:00