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M3762001 Mersenne number exponent details
is 2 3762001 - 1
has 1132476 decimal digits
takes 0.395 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L9FB7CFF2BBB194FEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2677.898467.1642%5000001303648501.15377.7756%9.052169.7174%2.5532%
PrimeNet2600.040863.3333%170003400000.00533.1824%0.046164.5002%1.1669%
GPU722640.946165.6250%220004500000.00692.1119%0.953066.3510%0.7260%
Difference+3+6.9523+1.5392%+478000+129914850+1.1468+5.6637%+8.0991+3.3664%+3.3664%

Known prime factors (1 factor, 92.0 bits, 0.00244667% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
376200151039528986696681438497302972892.044678356132636550089148
22 × 3 × 7 × 523 × 40759 × 45181 × 8384891
2016-01-10451818384891349,012,2270.07610.1299

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-11T19:30:00Carsten Kossendeydurandal20000265000---0.005--1.151%
2012-04-04T14:14:00Squeeky_SquirrelP4_26001100002035000---0.033--2.958%
2016-01-10T13:01:56mikrMSI160000066000000122892.0440.7780.7901.5567.951%
2022-05-17T01:12:25Jocelyn LaroucheManual testing500000130364850-
skipped known factor: 5103952898669668143849730297
--1.154--7.776%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-10-11T00:00:00ANONYMOUSv4_computers21260--0.041--
2009-03-03T17:12:00S485122USB-Z260261--0.041--
2011-05-05T09:17:00markroldgamer261262--0.082--
2012-03-23T23:44:00GrunwalderGIMPManual testing21263--0.424--
2016-02-23T16:29:38Mark RoseManual testing262263--0.261--
2015-01-25T20:42:00VictordeHollanderManual testing263264--0.522--
2015-01-25T20:42:00VictordeHollanderManual testing264265--0.993--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.346 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:1.346 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.29074.802%
25500000.02697.410%
302500000.00299.839%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.346


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-10-18T00:00:00ANONYMOUSv4_computers9FB7CFF2BBB194FE0.395
1999-09-14T00:00:00ANONYMOUSv4_computers9FB7CFF2BBB194FE0.395


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-20T19:28:25kkmrkkblmbrbkManual testing
5103952898669668143849730297
313F9786933F33__no
2017-12-07T05:41:40Oliver KruseGTX-1
5103952898669668143849730297
313F9786933F33__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 130364850 (P-1 stage 2)
B1 = 1600000, B2 = 66000000 (P-1 stage 2)
B1 = 1600000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 110000, B2 = 2035000 (P-1 stage 2)
B1 = 110000 (P-1 stage 1)
B1 = 20000, B2 = 265000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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109
TF factor-bounds graph:
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