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M3773359 Mersenne number exponent details
is 2 3773359 - 1
has 1135895 decimal digits
takes 0.396 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8BF46C22BA6C9677double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2677.874767.1642%5000001303648501.15377.7782%9.028369.7182%2.5540%
PrimeNet2600.040763.3333%170003400000.00533.1840%0.046064.5008%1.1675%
GPU722640.943365.6250%240004500000.00722.1605%0.950566.3677%0.7427%
Difference+3+6.9314+1.5392%+476000+129914850+1.1465+5.6176%+8.0779+3.3505%+3.3505%

Known prime factors (1 factor, 104.8 bits, 0.00277729% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
37733593523987062366151717352623284051132104.7974669562400988286189244945
3 × 5 × 11 × 17 × 59 × 523 × 19421 × 72973 × 38067629
2016-02-2172973380676293.463e+100.32640.5899

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-13T10:15:00Carsten Kossendeydurandal20000265000---0.005--1.151%
2012-04-10T14:17:00Squeeky_SquirrelP4_26001100002035000---0.033--2.960%
2016-02-21T04:31:40mikrMSI1600000660000001232104.7970.7780.7931.5567.954%
2022-05-17T01:12:22Jocelyn LaroucheManual testing500000130364850-
skipped known factor: 35239870623661517173526232840511
--1.154--7.778%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-05T00:00:00quantumfoam5678v4_computers21260--0.041--
1998-07-29T00:00:00quantumfoam5678v4_computers21260--0.041--
1998-08-09T00:00:00quantumfoam5678v4_computers21260--0.041--
1998-08-30T00:00:00quantumfoam5678v4_computers21260--0.041--
1998-09-13T00:00:00quantumfoam5678v4_computers21260--0.041--
1998-10-11T00:00:00quantumfoam5678v4_computers21260--0.041--
1998-10-29T00:00:00quantumfoam5678v4_computers21260--0.041--
2009-03-02T07:23:00S485122USB-A260261--0.041--
2011-04-16T08:24:00markrManual testing21262--0.163--
2012-03-23T23:45:00GrunwalderGIMPManual testing21263--0.423--
2016-02-23T16:29:38Mark RoseManual testing262263--0.260--
2015-01-25T20:42:00VictordeHollanderManual testing263264--0.520--
2015-01-25T20:42:00VictordeHollanderManual testing264265--0.990--


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)
1998-07-29T00:00:00quantumfoam5678v4_computers8BF46C22BA6C96770.396
1998-08-09T00:00:00quantumfoam5678v4_computers8BF46C22BA6C96770.396
1998-08-30T00:00:00quantumfoam5678v4_computers8BF46C22BA6C96770.396
1998-09-13T00:00:00quantumfoam5678v4_computers8BF46C22BA6C96770.396
1998-10-11T00:00:00quantumfoam5678v4_computers8BF46C22BA6C96770.396
1998-10-29T00:00:00quantumfoam5678v4_computers8BF46C22BA6C96770.396
2000-01-19T00:00:00ANONYMOUSv4_computers8BF46C22BA6C96770.396


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-20T19:28:46kkmrkkblmbrbkManual testing
35239870623661517173526232840511
EB2C8EC6DD2A5F__no
2017-12-07T14:17:14Oliver KruseThreadripper
35239870623661517173526232840511
EB2C8EC6DD2A5F__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)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
267
265
264
263
262
261
260
250
260
270
280
290
2100