is 2 3745199 - 1
has 1127418 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-LC3854423D23EA898double-checked
PRPFA53594DFD127D59verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27063.801968.5714%1600000660000000.77806.1478%64.579970.5036%1.9322%
PrimeNet2600.041063.3333%160003200000.00503.0901%0.046064.4664%1.1331%
GPU722640.950465.6250%220004500000.00692.1102%0.957366.3504%0.7254%
Difference+6+62.8515+2.9464%+1578000+65550000+0.7711+4.0376%+63.6226+4.1532%+4.1532%

Known prime factors (1 factor, 70.3 bits, 0.00187592% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
374519914106364131783044952972270.257188325962542752
25 × 3 × 19 × 103248882973
2021-10-2432103248882973100.45856.681,600.0

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-07T04:43:00Carsten Kossendeyleela20000265000---0.005--0.730%
2013-03-12T23:02:00Squeeky_SquirrelE8400_30001100002035000---0.033--2.075%
2015-11-11T15:30:18mikrMSI16000006600000012---0.778--6.148%
2022-03-03T20:39:16Jocelyn LaroucheManual testing9000090000---0.014--0.624%
2022-03-22T11:09:23Jocelyn LaroucheManual testing100000100000---0.015--0.666%
2022-05-25T14:14:12Jocelyn LaroucheManual testing100000130364850---1.096--4.378%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-01-13T00:00:00ANONYMOUSv4_computers21260--0.041--
2009-03-04T08:03:00S485122USB-A260261--0.041--
2011-05-07T14:18:00markrManual testing21262--0.164--
2012-05-10T01:21:00GrunwalderGIMPManual testing21263--0.426--
2016-02-23T16:29:38Mark RoseManual testing262263--0.262--
2015-01-23T13:17:00VictordeHollanderManual testing263264--0.524--
2015-01-23T13:17:00VictordeHollanderManual testing264265--0.998--
2016-02-26T10:03:30ramgeisManual testing265266--1.995--
2016-11-05T16:44:58Gordon SpenceManual testing266267--3.991--
2018-07-23T16:23:29TJAOIManual testing267268--7.981--
2020-12-09T04:40:00axnManual testing268269--15.96--
2021-03-20T05:29:23axnManual testing269270--31.92--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.223 GHz-days
Estimated T-Level:1.300
DigitsB1CurvesCompleteFacMiss
201100026 / 1000.26077.004%
255000026 / 2800.09391.117%

New Calculation Method

Total ECM effort:4.223 GHz-days
Estimated T-Level:1.300
DigitsB1CompleteFacMiss
20110001.04535.174%
25500000.09790.787%
302500000.00699.390%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.793
50000670000071.210
50000680000071.220


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-05-23T00:00:00Stephan Gruppv4_computersC3854423D23EA8980.393
1998-12-27T00:00:00Stephan Gruppv4_computersC3854423D23EA8980.393
1999-11-24T00:00:00ANONYMOUSv4_computersC3854423D23EA8980.393


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-25T16:04:34kutensspica
1410636413178304495297
FA53594DFD127D59no


P-1 factor-bounds graph:
B1 = 100000, 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 = 110000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (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: 2022-05-25T14:14:12+00:00