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M3776153 Mersenne number exponent details
is 2 3776153 - 1
has 1136736 decimal digits
takes 0.397 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB1043264C506D5E1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2677.868867.1642%5000001303648501.15377.7788%9.022569.7184%2.5542%
PrimeNet2600.040763.3333%170003400000.00533.1844%0.045964.5010%1.1676%
GPU722640.942665.6250%240004500000.00722.1608%0.949866.3678%0.7428%
Difference+3+6.9263+1.5392%+476000+129914850+1.1465+5.6180%+8.0727+3.3506%+3.3506%

Known prime factors (1 factor, 92.5 bits, 0.00245088% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
377615372442813665563589420564049512892.549959214492441958647075
3 × 52 × 47 × 1009 × 2027 × 11057 × 12033013
2016-03-051105712033013373,402,6020.10140.1865

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-13T20:53:00Carsten Kossendeydurandal20000265000---0.005--1.152%
2012-04-12T09:47:00Squeeky_SquirrelP4_26001100002035000---0.033--2.960%
2016-03-05T12:25:15mikrMSI160000066000000122892.5490.7780.7931.5567.954%
2020-10-02T12:37:11Jocelyn LaroucheManual testing37761537761536---0.086--4.042%
2022-05-17T01:12:24Jocelyn LaroucheManual testing500000130364850-
skipped known factor: 7244281366556358942056404951
--1.154--7.779%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-03-02T11:09:00S485122USB-A260261--0.041--
2011-04-12T21:55:00markrManual testing21262--0.163--
2012-03-23T23:43:00GrunwalderGIMPManual testing21263--0.423--
2016-02-23T16:29:38Mark RoseManual testing262263--0.260--
2015-01-27T16:51:00VictordeHollanderManual testing263264--0.520--
2015-01-27T16:51:00VictordeHollanderManual testing264265--0.989--
2016-02-28T22:17:37ramgeisManual testing265266--1.979--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.347 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:1.347 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.29074.802%
25500000.02697.410%
302500000.00299.839%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.347


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-11-04T00:00:00ANONYMOUSv4_computersB1043264C506D5E10.397


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-20T19:28:51kkmrkkblmbrbkManual testing
7244281366556358942056404951
BA74BB92579098__no
2017-12-07T23:30:50Oliver KruseGTX-3
7244281366556358942056404951
BA74BB92579098__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 = 377615, B2 = 3776153 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 377615 (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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