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M3780389 Mersenne number exponent details
is 2 3780389 - 1
has 1138011 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-L0A7E7CB6620B0F65double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2677.860067.1642%5000001303648501.15377.7798%9.013769.7187%2.5545%
PrimeNet2600.040663.3333%170003400000.00533.1851%0.045964.5012%1.1679%
GPU722640.941565.6250%240004500000.00722.1612%0.948766.3679%0.7429%
Difference+3+6.9185+1.5392%+476000+129914850+1.1465+5.6185%+8.0650+3.3508%+3.3508%

Known prime factors (1 factor, 92.9 bits, 0.00245827% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
378038994481415445503115539985805272892.9321249625573525675737867
7 × 59 × 160627 × 931193 × 20228869
2016-03-2093119320228869482,783,3940.30190.3135

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-13T20:55:00Carsten Kossendeydurandal20000265000---0.005--1.152%
2012-04-14T11:07:00Squeeky_SquirrelP4_26001100002062500---0.033--2.970%
2016-03-20T13:46:50mikrMSI160000066000000122892.9320.7780.7941.5567.955%
2020-11-13T03:30:38Jocelyn LaroucheManual testing37803837803896---0.086--4.044%
2022-05-17T01:12:24Jocelyn LaroucheManual testing500000130364850---1.154--7.780%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:38Mark RoseManual testing21260--0.041--
2009-03-02T16:28:00S485122USB-A260261--0.041--
2011-04-17T20:08:00markroldgamer261262--0.081--
2012-03-23T23:43:00GrunwalderGIMPManual testing21263--0.422--
2016-02-23T16:29:38Mark RoseManual testing262263--0.260--
2015-01-27T16:51:00VictordeHollanderManual testing263264--0.519--
2015-01-27T16:51:00VictordeHollanderManual testing264265--0.988--
2016-02-28T22:17:44ramgeisManual testing265266--1.977--


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)
1999-08-16T00:00:00ANONYMOUSv4_computers0A7E7CB6620B0F650.397


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-20T19:17:39kkmrkkblmbrbkManual testing
9448141544550311553998580527
7FBA4A30C09552__no
2017-12-08T09:32:08Oliver KruseGTX-0
9448141544550311553998580527
7FBA4A30C09552__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 = 378038, B2 = 3780389 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 378038 (P-1 stage 1)
B1 = 110000, B2 = 2062500 (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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TF factor-bounds graph:
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