is 2 634181 - 1
has 190908 decimal digits
takes 0.010 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4FC9AC10BC6A504Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26746.854070.1493%2080000707200000.12826.8355%46.982272.1897%2.0404%
PrimeNet2400.000050.0000%60002200000.000420.6445%0.000460.3222%10.3222%
GPU722440.000054.5455%110004000000.000715.9125%0.000761.7784%7.2329%
Difference+23+46.8540+15.6038%+2069000+70320000+0.1275-9.0770%+46.9815+10.4113%+10.4113%

Known prime factors (1 factor, 85.6 bits, 0.01350181% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
634181596983782354288270018492972685.62647067302738042315208
23 × 32 × 911 × 2551 × 281292387449
2014-03-30255128129238744918,581,654337.65630.64

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-31T00:00:00Alex Kruppav4_computers200040000---8.96776e-5--0.111%
2001-05-27T00:00:00Alex Kruppav4_computers1000004000000---0.007--2.589%
2002-05-11T00:00:00ANONYMOUSv4_computers163841638400---0.002--1.216%
2002-07-06T00:00:00ANONYMOUSv4_computers327683276800---0.005--1.833%
2002-10-07T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.591%
2003-05-26T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.475%
2011-02-01T23:31:00Jocelyn LaroucheManual testing20000002000000---0.044--2.937%
2013-10-26T00:47:00David Campeaui5-2500k208000070720000---0.128--6.835%
2016-03-17T18:50:01alpertronManual testing10000003000000012---0.057--5.495%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-01-12T00:00:00ANONYMOUSv4_computers253254--0.002--
2022-03-07T09:01:56LordJuliusManual testing254255--0.004--
2001-04-15T00:00:00ANONYMOUSv4_computers21256--0.015--
2001-10-25T00:00:00ANONYMOUSv4_computers21257--0.030--
2003-10-31T00:00:00ANONYMOUSv4_computers21258--0.061--
2008-10-17T05:53:00Sturle Sundebuxtehude.ifi258259--0.061--
2008-10-17T17:05:00Sturle Sundebuxtehude.ifi259260--0.121--
2011-01-11T10:54:00Sid & AndyToy_Soldier260261--0.242--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.508 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000324 / 1003.2403.853%
2550000324 / 2801.15731.373%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:8.508 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.6990.000%
25500001.34626.016%
302500000.10789.809%
3510000000.00799.296%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002804.764
25000025000000443.743


Lucas-Lehmer results:
No L-L results for M634181


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T13:20:04Oliver KruseGTX-0
59698378235428827001849297
82725FC5584D98__no
2017-10-13T13:11:45Oliver KruseThreadripper82725FC5584D98__no
2017-12-15T23:34:29ATHec2-1xf
59698378235428827001849297
82725FC5584D98__no
2020-04-19T18:23:54Oliver KruseAddPrpType5
59698378235428827001849297
E31F1B507C766C__no


P-1 factor-bounds graph:
B1 = 2080000, B2 = 70720000 (P-1 stage 2)
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 2080000 (P-1 stage 1)
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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Last modified: 2022-03-07T09:01:56+00:00