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M3737197 Mersenne number exponent details
is 2 3737197 - 1
has 1125009 decimal digits
takes 0.393 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD187EC8BB0046CD9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2677.950967.1642%5000001303648501.15377.7700%9.104569.7155%2.5513%
PrimeNet2600.041163.3333%160003200000.00503.0890%0.046164.4660%1.1326%
GPU722640.952465.6250%220004500000.00692.1094%0.959366.3501%0.7251%
Difference+3+6.9985+1.5392%+478000+129914850+1.1468+5.6606%+8.1452+3.3654%+3.3654%

Known prime factors (1 factor, 91.8 bits, 0.00245665% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
373719743405689215719388176087630012891.810580725196125858339500
22 × 53 × 74 × 227 × 43261 × 49259057
2015-10-234326149259057150,453,2380.41490.7634

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T11:19:00Carsten Kossendeyleela20000265000---0.005--1.149%
2013-02-09T04:25:00Squeeky_SquirrelT7500_2200850001445000---0.024--2.600%
2015-10-23T02:09:07mikrMSI160000066000000122891.8100.7780.7851.5567.946%
2022-05-17T01:12:25Jocelyn LaroucheManual testing500000130364850-
skipped known factor: 4340568921571938817608763001
--1.154--7.770%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-11-29T00:00:00ANONYMOUSv4_computers21260--0.041--
2009-03-06T05:53:00S485122USB-A260261--0.041--
2011-05-08T16:13:00Grant McCrackenthumper261262--0.082--
2012-05-10T01:21:00GrunwalderGIMPManual testing21263--0.427--
2015-01-23T13:17:00VictordeHollanderManual testing263264--0.525--
2015-01-23T13:17:00VictordeHollanderManual testing264265--1.000--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.344 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:1.344 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.29074.802%
25500000.02697.410%
302500000.00299.839%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.344


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-23T00:00:00ANONYMOUSv4_computersD187EC8BB0046CD90.393
1999-10-29T00:00:00ANONYMOUSv4_computersD187EC8BB0046CD90.393


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-20T06:17:34kkmrkkblmbrbkManual testing
4340568921571938817608763001
B527209CC217EF__no
2017-12-03T09:13:29Oliver KruseGTX-0
4340568921571938817608763001
B527209CC217EF__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 = 85000, B2 = 1445000 (P-1 stage 2)
B1 = 85000 (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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