is 2 3745891 - 1
has 1127626 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-LF4AE37F1DCA9F842double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2677.932467.1642%1600000660000000.77807.9478%8.710469.7739%2.6097%
PrimeNet2600.041063.3333%160003200000.00503.0902%0.046064.4664%1.1331%
GPU722640.950265.6250%220004500000.00692.1103%0.957166.3504%0.7254%
Difference+3+6.9822+1.5392%+1578000+65550000+0.7711+5.8375%+7.7533+3.4235%+3.4235%

Known prime factors (1 factor, 66.1 bits, 0.00176507% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3745891800494096197314555512066.11810684962485525
52 × 193 × 617 × 3589141
2015-11-1561735891416.95220.02990.0556

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-07T04:44:00Carsten Kossendeyleela20000265000---0.005--1.150%
2013-03-14T06:56:00Squeeky_SquirrelT7500_22001100002035000---0.033--2.956%
2015-11-15T01:56:17mikrMSI160000066000000122066.1180.7780.7871.5567.948%
2022-05-26T12:47:37Jocelyn LaroucheManual testing200000130364850-
skipped known factor: 80049409619731455551
--1.110--6.810%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-01-05T00:00:00ANONYMOUSv4_computers21260--0.041--
1999-08-16T00:00:00ANONYMOUSv4_computers21260--0.041--
2009-03-05T16:15:00S485122USB-A260261--0.041--
2011-05-06T21:14:00markrManual testing21262--0.164--
2012-05-10T01:21:00GrunwalderGIMPManual testing21263--0.426--
2015-01-23T13:17:00VictordeHollanderManual testing263264--0.524--
2015-01-23T13:17:00VictordeHollanderManual testing264265--0.997--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.897 GHz-days
Estimated T-Level:0.300
DigitsB1CurvesCompleteFacMiss
20110006 / 1000.06094.148%
25500006 / 2800.02197.876%

New Calculation Method

Total ECM effort:0.897 GHz-days
Estimated T-Level:0.300
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000060.897


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-01-21T00:00:00Joel Armengaudv4_computersF4AE37F1DCA9F8420.393
1999-08-31T00:00:00ANONYMOUSv4_computersF4AE37F1DCA9F8420.393


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-20T06:17:52kkmrkkblmbrbkManual testing
80049409619731455551
FCC31FF84C5A7B__no
2017-12-04T04:17:24Oliver KruseGTX-0
80049409619731455551
FCC31FF84C5A7B__no


P-1 factor-bounds graph:
B1 = 200000, B2 = 130364850 (P-1 stage 2)
B1 = 1600000, B2 = 66000000 (P-1 stage 2)
B1 = 1600000 (P-1 stage 1)
B1 = 110000, B2 = 2035000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
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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Last modified: 2022-05-26T12:47:37+00:00