is 2 3758539 - 1
has 1131433 decimal digits
takes 0.395 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP935A4E0C26B0CAEDverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27063.575468.5714%1600000660000000.77806.1501%64.353470.5043%1.9329%
PrimeNet2600.040963.3333%170003400000.00533.1819%0.046164.5000%1.1667%
GPU722640.947065.6250%220004500000.00692.1115%0.953966.3508%0.7258%
Difference+6+62.6284+2.9464%+1578000+65550000+0.7711+4.0386%+63.3995+4.1535%+4.1535%

Known prime factors (1 factor, 71.1 bits, 0.00189128% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
375853925036325346738604380012271.085333059273121000
23 × 3 × 53 × 111019757707
2021-08-17125111019757707228.00921.151,720.5

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-11T19:28:00Carsten Kossendeydurandal20000265000---0.005--0.730%
2013-03-19T02:07:00Squeeky_SquirrelP4_26001100002035000---0.033--2.077%
2015-12-31T23:17:54mikrMSI16000006600000012---0.778--6.150%
2022-03-03T20:38:19Jocelyn LaroucheManual testing9000090000---0.014--0.624%
2022-03-22T11:09:09Jocelyn LaroucheManual testing100000100000---0.015--0.666%
2022-05-25T14:14:03Jocelyn LaroucheManual testing100000130364850---1.096--4.380%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-03-03T17:11:00S485122USB-Z260261--0.041--
2011-04-21T22:48:00markrManual testing21262--0.163--
2012-04-21T16:42:00GrunwalderGIMPManual testing21263--0.425--
2016-02-23T16:29:38Mark RoseManual testing262263--0.261--
2015-01-25T20:42:00VictordeHollanderManual testing263264--0.522--
2015-01-25T20:42:00VictordeHollanderManual testing264265--0.994--
2016-02-28T22:17:31ramgeisManual testing265266--1.988--
2016-11-08T02:48:17Gordon SpenceManual testing266267--3.976--
2019-01-28T14:25:38TJAOIManual testing267268--7.953--
2019-02-08T06:02:19YxinityManual testing267268--7.953--
2020-11-16T18:25:20TJAOIManual testing268269--15.91--
2021-03-26T07:54:52axnManual testing269270--31.81--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.489 GHz-days
Estimated T-Level:0.800
DigitsB1CurvesCompleteFacMiss
201100016 / 1000.16085.146%
255000016 / 2800.05794.436%

New Calculation Method

Total ECM effort:2.489 GHz-days
Estimated T-Level:0.800
DigitsB1CompleteFacMiss
20110000.52559.154%
25500000.04895.347%
302500000.00399.707%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.794
50000675000040.695


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-22T00:00:00ANONYMOUSv4_computers97258AA5734F17__0.395


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-18T06:35:42SRJ2877LTOS
2503632534673860438001
935A4E0C26B0CAEDno


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: 2022-05-25T14:14:03+00:00