is 2 1656947 - 1
has 498791 decimal digits
takes 0.078 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB90CACD7432A47B7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26717.932968.6567%500000150000000.08805.0082%18.021070.2265%1.5697%
PrimeNet2570.011663.1579%70001200000.00092.5655%0.012564.1031%0.9452%
GPU722610.185465.5738%7000700000.00071.1521%0.186165.9704%0.3966%
Difference+6+17.7475+3.0829%+493000+14930000+0.0873+3.8561%+17.8349+4.2560%+4.2560%

Known prime factors (2 factors, 128.7 bits, 0.00776730% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
165694762664776630439158171962.4421890971063964
22 × 33 × 17508991333
2016-08-1027175089913330.427765.097121.58
1656947882206823615224737672066.25826621455713889
26621455713889
2010-05-1812662145571388913.34398,977184,861

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
165694755283293543697295587561271532033887263939128.700
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T19:18:00alpertronManual testing5000001500000012---0.088--5.008%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-11-14T00:00:00ANONYMOUSv4_computers21257--0.012--
2003-05-11T00:00:00ANONYMOUSv4_computers21258--0.023--
2022-03-08T23:06:21LordJuliusManual testing258260--0.070--
2022-03-09T02:40:38LordJuliusManual testing21260--0.093--
2010-04-27T22:40:00Architects Cubedm1_tt260261--0.093--
2022-03-08T23:06:21LordJuliusManual testing261262--0.185--
2016-08-10T15:14:01TJAOIManual testing262263*62.442190.0570.1580.116


ECM factoring results:

Old Calculation Method

Total ECM effort:14.821 GHz-days
Estimated T-Level:24.464
DigitsB1CurvesCompleteFacMiss
2011000250 / 1002.5008.106%
2550000250 / 2800.89340.883%

New Calculation Method

Total ECM effort:14.821 GHz-days
Estimated T-Level:24.464
DigitsB1CompleteFacMiss
20110008.0650.031%
25500000.72948.246%
302500000.04595.611%
3510000000.00299.795%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000025014.82


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-06T00:00:00ANONYMOUSv4_computersB90CACD7432A47B70.078


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-02T19:59:59Oliver KruseGTX-0
6266477663043915817
88220682361522473767
5C2A65EA425F5481no
2017-10-03T00:12:06kkmrkkblmbrbkManual testing
6266477663043915817
88220682361522473767
5C2A65EA425F54__no
2017-11-14T00:56:06ATHec2-1xf
6266477663043915817
88220682361522473767
5C2A65EA425F54__no


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: 2022-03-09T02:40:38+00:00