is 2 645481 - 1
has 194310 decimal digits
takes 0.010 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L23ED31FF19690BE2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26746.033870.1493 %1000000300000000.05685.5062 %46.090671.7929 %
Target2440.000054.5455 %1100020000000.002615.9454 %0.002661.7933 %
Difference+23+46.0338+15.6038 %+989000+28000000+0.0542-10.4391 %+46.0880+9.9996 %

Known prime factors (2 factors, 147.3 bits, 0.02282688% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
64548118409771673591939931960.6751426050625316
22 × 53 × 131 × 51348503
2008-03-26131513485030.23790.06160.1151
6454811229332458018027927265060632786.66895226076214329153551
3 × 19 × 1670632916040862343
2023-11-2019167063291604086234324,278,7492.005e+93.745e+9

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-12-07Alex Kruppav4_computers1000004000000--0.00724.389%
2002-05-11ANONYMOUSv4_computers163841638400--0.00219.942%
2002-07-06ANONYMOUSv4_computers32768327680012--0.00522.644%
2002-10-07ANONYMOUSv4_computers65536655360012--0.00925.297%
2003-06-01ANONYMOUSv4_computers1310721310720012--0.01827.896%
2016-03-17alpertronManual testing10000003000000012---31.607%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-01-19ANONYMOUSv4_computers2532540.002
2022-03-07LordJuliusManual testing254255
2001-04-15ANONYMOUSv4_computers212560.015
2001-12-08ANONYMOUSv4_computers212570.030
2003-10-31ANONYMOUSv4_computers212580.059


ECM factoring results:
Total ECM effort:18.833 GHz-days
Estimated T-Level:26.527
DigitsB1CompleteFacMiss
201100024.6920.000%
25500003.1724.194%
302500000.30573.686%
3510000000.02397.682%
4030000000.00299.849%


ECM Summary

B1B2factorcurvesGHz-days
10.043
5000050000002784.732
25000025000000443.749
25000040000000242.474
25000040000000767.835


Lucas-Lehmer results:
No L-L results for M645481


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-1
1840977167359193993
3E76D405E4207877
2017-09-28Oliver KruseManual testing
1840977167359193993
3E76D405E4207877
2017-11-09kkmrkkblmbrbkc4.large
1840977167359193993
3E76D405E4207877
2020-04-19Oliver KruseAddPrpType5
1840977167359193993
AC0C77D64899E8B0
2023-11-20Naegi Makoto5950X
1840977167359193993
122933245801802792726506063
AC0C77D64899E8B0


CERT results:
dateuseridcompid
2023-11-20Chalkey300i7-2


P-1 factor-bounds graph:
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.53 ~= 72-bit
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Last modified: 2024-03-03T02:29:32+00:00