is 2 975427 - 1
has 293633 decimal digits
takes 0.024 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LBFB41DB481DEB829double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26861.106470.5882%5000000012636914390102,422.579221.9405%2,483.685777.0413%6.4531%
PrimeNet2400.000050.0000%90004000000.001123.9874%0.001161.9937%11.9937%
GPU722440.000054.5455%160006500000.001818.4285%0.001862.9221%8.3766%
Difference+24+61.1064+16.0428%+49984000+1263690789010+2,422.5774+3.5120%+2,483.6839+14.1193%-1.9235%

Known prime factors (1 factor, 125.2 bits, 0.01283920% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
9754275013188156687343610594431937655401605738125.23725697403069052546272526964794164
22 × 3 × 47 × 167 × 4177 × 820753 × 4068923 × 19558576181
2022-10-024068923195585761811.516e+1137.60569.982

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-08T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.173%
2002-03-03T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.378%
2002-05-05T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.692%
2002-08-03T00:00:00ANONYMOUSv4_computers327683276800---0.007--1.727%
2003-01-25T00:00:00ANONYMOUSv4_computers655366553600---0.015--2.452%
2003-09-21T00:00:00ANONYMOUSv4_computers13107213107200---0.029--3.304%
2011-06-02T21:39:00Jocelyn LaroucheManual testing200000200000---0.007--1.027%
2011-06-19T02:17:00Jocelyn LaroucheManual testing400000400000---0.014--1.454%
2012-02-06T21:52:00Jocelyn LaroucheManual testing686230686230---0.024--1.851%
2012-06-26T21:02:00Jocelyn LaroucheManual testing975463975463---0.034--2.139%
2013-10-20T04:13:00David Campeaui5-2500k100000032000000---0.095--5.326%
2014-03-27T20:19:00alpertronManual testing10000000500000000---1.290--9.890%
2022-10-02T05:34:00axnManual testing50000000126369143901038125.2372,4230.0474,84521.941%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-07-03T00:00:00ANONYMOUSv4_computers21255--0.005--
2000-11-05T00:00:00ANONYMOUSv4_computers21256--0.010--
2001-11-24T00:00:00ANONYMOUSv4_computers21257--0.020--
2003-08-25T00:00:00ANONYMOUSv4_computers21258--0.039--
2016-02-23T16:28:18Mark RoseManual testing258260--0.118--
2010-05-14T04:21:00Architects Cubeda3_bu2260261--0.157--
2014-02-20T12:57:00lycornManual testing261262--0.315--
2015-09-16T23:01:00Gordon SpenceManual testing262263--1.006--
2015-09-16T23:01:00Gordon SpenceManual testing263264--2.013--
2015-12-14T07:44:08lycornManual testing264265--3.830--
2018-04-12T03:13:32BloodERazorManual testing265266--7.661--
2018-12-18T13:16:08lycornManual testing266267--15.32--
2022-02-11T00:51:44LordJuliusManual testing267268--30.64--


ECM factoring results:
Total ECM effort:14.178 GHz-days
Estimated T-Level:25.656
DigitsB1CompleteFacMiss
201100014.7690.000%
25500001.61619.866%
302500000.13187.697%
3510000000.00999.130%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002807.940
25000025000000446.238


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T21:29:00MadPooManual testingBFB41DB481DEB8290.024


PRP results:
dateuseridcompidcofactorsres64PRP
2022-10-04T05:38:47Rubiksmathbadlaptop
50131881566873436105944319376554016057
0F8710313306DFAAno


P-1 factor-bounds graph:
B1 = 50000000, B2 = 1263691439010 (P-1 stage 2)
B1 = 50000000 (P-1 stage 1)
B1 = 10000000, B2 = 500000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1000000, B2 = 32000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 975463 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 686230 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 131072 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-10-04T05:38:47+00:00