is 2 3502427 - 1
has 1054336 decimal digits
takes 0.368 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP8526E60BA219BFC5verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272273.048869.4444%10000001461306001.35655.4900%274.405371.1220%1.6775%
PrimeNet2600.043963.3333%150003000000.00462.9608%0.048564.4190%1.0856%
GPU722641.016265.6250%200003600000.00591.9157%1.022166.2835%0.6585%
Difference+8+272.0326+3.8194%+980000+145770600+1.3506+3.5744%+273.3832+4.8385%+4.8385%

Known prime factors (1 factor, 77.1 bits, 0.00220076% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
35024271597271276690296603204572477.08022802349295078764
22 × 3 × 83 × 4192519 × 5460661
2021-06-164192519546066110,8270.64901.2994

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T21:43:00Carsten Kossendeyleela20000240000---0.005--0.510%
2011-11-04T06:36:00markrtiny2350005875000---0.083--2.425%
2022-04-12T19:24:09Jocelyn LaroucheManual testing1000000146130600---1.356--5.490%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:31Mark RoseManual testing21260--0.044--
2009-02-21T20:26:00Jayson Kingatlas260261--0.044--
2011-07-20T02:20:00Grant McCrackenthumper261262--0.088--
2012-06-20T01:18:00GrunwalderGIMPManual testing21263--0.456--
2016-02-23T16:29:31Mark RoseManual testing262263--0.280--
2015-01-25T20:43:00VictordeHollanderManual testing263264--0.561--
2015-01-25T20:43:00VictordeHollanderManual testing264265--1.067--
2016-03-04T07:13:58omylistManual testing265266--2.134--
2017-01-07T17:26:11Gordon SpenceManual testing266267--4.267--
2018-12-17T13:21:51TJAOIManual testing267268--8.534--
2021-01-14T15:38:14axnManual testing268269--17.07--
2021-03-17T16:53:24-Anonymous-Manual testing269270--34.14--
2021-03-17T16:53:24-Anonymous-Manual testing270271--68.27--
2021-03-19T23:56:04-Anonymous-Manual testing271272--136.5--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.275 GHz-days
Estimated T-Level:1.450
DigitsB1CurvesCompleteFacMiss
201100029 / 1000.29074.717%
255000029 / 2800.10490.144%

New Calculation Method

Total ECM effort:4.275 GHz-days
Estimated T-Level:1.450
DigitsB1CompleteFacMiss
20110000.93539.240%
25500000.08591.893%
302500000.00599.481%


ECM Summary

B1B2factorcurvesGHz-days
500005000000223.243
50000500000071.032


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-26T00:00:00Charlie Dorianv4_computers96BC5150966E24__0.368


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-16T22:56:40tottenhoff2018pc
159727127669029660320457
8526E60BA219BFC5no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 146130600 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 235000, B2 = 5875000 (P-1 stage 2)
B1 = 235000 (P-1 stage 1)
B1 = 20000, B2 = 240000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-12T19:24:09+00:00