is 2 631597 - 1
has 190130 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-LFC6D89CBE17E9B70double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26747.045770.1493 %200000061997535607.483611.9263 %54.529373.7094 %
Target2440.000054.5455 %1100020000000.002615.9049 %0.002661.7749 %
Difference+23+47.0457+15.6038 %+1989000+6197753560+7.4810-3.9786 %+54.5267+11.9344 %

Known prime factors (1 factor, 111.5 bits, 0.01765641% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
631597371592560627047786147568090671681734111.5172941690354981481752981474664
23 × 23 × 236777901697 × 67520860126043
2009-12-30236777901697675208601260432.927e+1185,982151,378

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-12-31Alex Kruppav4_computers200040000--8.97000e-58.370%
2001-05-27Alex Kruppav4_computers1000004000000--0.00724.345%
2002-05-11ANONYMOUSv4_computers163841638400--0.00219.898%
2002-06-29ANONYMOUSv4_computers32768327680012--0.00522.599%
2002-10-07ANONYMOUSv4_computers65536655360012--0.00925.252%
2003-05-19ANONYMOUSv4_computers1310721310720012--0.01827.850%
2016-03-17alpertronManual testing10000003000000012---31.562%
2023-01-15USAFSSUSAFSACS20000006199753560--8.66046.404%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-01-04ANONYMOUSv4_computers2532540.002
2022-03-07LordJuliusManual testing254255
2001-04-15ANONYMOUSv4_computers212560.015
2001-10-25ANONYMOUSv4_computers212570.030
2003-11-08ANONYMOUSv4_computers212580.061
2008-10-12Sturle Sundebuxtehude.ifi2582600.182


ECM factoring results:
Total ECM effort:18.709 GHz-days
Estimated T-Level:26.529
DigitsB1CompleteFacMiss
201100024.7690.000%
25500003.1794.164%
302500000.30673.653%
3510000000.02397.680%
4030000000.00299.849%


ECM Summary

B1B2factorcurvesGHz-days
10.014
5000050000002804.665
25000025000000443.742
2500004000000010010.29


Lucas-Lehmer results:
No L-L results for M631597


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-0
3715925606270477861475680906716817
5095EFA00677E2B6
2017-10-13Oliver KruseThreadripper-PC
3715925606270477861475680906716817
5095EFA00677E2B6
2017-12-15ATHec2-1xh
3715925606270477861475680906716817
5095EFA00677E2B6
2020-04-19Oliver KruseAddPrpType5
3715925606270477861475680906716817
E521F4473EF8B07D


CERT results:
No CERT results for M631597


P-1 factor-bounds graph:
B1 = 2000000, B2 = 6199753560 (P-1 stage 2)
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
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)
B1 = 2000, B2 = 40000 (P-1 stage 2)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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258
257
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254
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.53 ~= 72-bit
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Last modified: 2024-03-13T02:15:48+00:00