is 2 3738541 - 1
has 1125413 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-L4518B921BC04ACDEdouble-checked
PRPD358F84DDDA347D4verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27063.915568.5714%1600000660000000.77806.1466%64.693570.5032%1.9318%
PrimeNet2600.041163.3333%160003200000.00503.0892%0.046064.4660%1.1327%
GPU722640.952165.6250%220004500000.00692.1095%0.959066.3501%0.7251%
Difference+6+62.9634+2.9464%+1578000+65550000+0.7711+4.0371%+63.7345+4.1531%+4.1531%

Known prime factors (1 factor, 70.1 bits, 0.00187638% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
373854113094153857566324764092270.149175123849886444
22 × 277 × 158054016143
2021-08-0927715805401614396.9211,311.42,449.3

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T11:20:00Carsten Kossendeyleela20000265000---0.005--0.730%
2013-02-09T13:23:00Squeeky_SquirrelT7500_2200850001445000---0.024--1.800%
2015-10-27T04:02:38mikrMSI16000006600000012---0.778--6.147%
2022-03-03T23:55:11Jocelyn LaroucheManual testing9000090000---0.014--0.623%
2022-03-22T11:09:29Jocelyn LaroucheManual testing100000100000---0.015--0.666%
2022-05-25T14:14:13Jocelyn LaroucheManual testing100000130364850---1.096--4.377%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-01-16T00:00:00ANONYMOUSv4_computers21260--0.041--
2009-03-05T06:55:00S485122USB-A260261--0.041--
2011-05-09T21:31:00Grant McCrackenthumper261262--0.082--
2012-05-10T01:21:00GrunwalderGIMPManual testing21263--0.427--
2016-02-23T16:29:37Mark RoseManual testing262263--0.263--
2015-01-23T13:17:00VictordeHollanderManual testing263264--0.525--
2015-01-23T13:17:00VictordeHollanderManual testing264265--0.999--
2016-02-25T15:27:57ramgeisManual testing265266--1.999--
2016-11-05T16:44:56Gordon SpenceManual testing266267--3.998--
2018-08-20T09:09:30TJAOIManual testing267268--7.995--
2020-12-11T04:45:24axnManual testing268269--15.99--
2021-03-17T18:09:48axnManual testing269270--31.98--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.313 GHz-days
Estimated T-Level:0.750
DigitsB1CurvesCompleteFacMiss
201100015 / 1000.15086.006%
255000015 / 2800.05494.775%

New Calculation Method

Total ECM effort:2.313 GHz-days
Estimated T-Level:0.750
DigitsB1CompleteFacMiss
20110000.49161.229%
25500000.04495.650%
302500000.00399.726%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.792
50000675000030.521


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-12T00:00:00ANONYMOUSv4_computers4518B921BC04ACDE0.393
1999-09-30T00:00:00ANONYMOUSv4_computers4518B921BC04ACDE0.393


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-09T09:42:59GURA LOVE
1309415385756632476409
D358F84DDDA347D4no


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 = 85000, B2 = 1445000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 85000 (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: 2022-05-25T14:14:13+00:00