is 2 3838613 - 1
has 1155538 decimal digits
takes 0.403 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB6AF8A6507687D5Ddouble-checked
PRP0FE03C30D53576E0verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26931.101568.1159%150000007500000008.382811.1423%39.484371.6686%3.5526%
PrimeNet2600.040063.3333%170003400000.00533.1934%0.045364.5042%1.1709%
GPU722640.927265.6250%240005000000.00762.2271%0.934866.3906%0.7656%
Difference+5+30.1743+2.4909%+14976000+749500000+8.3752+8.9152%+38.5495+5.2780%+5.2780%

Known prime factors (1 factor, 90.4 bits, 0.00235622% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
383861316867061956266214605863088012890.446219702558662024728800
25 × 3 × 52 × 47 × 101 × 15803 × 1220295757
2021-10-23158031220295757105,192,88910.12718.911

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-27T16:19:00Carsten Kossendeyleela20000270000---0.005--0.860%
2011-10-28T14:20:00Squeeky_SquirrelT7500_2200700001137500---0.020--1.845%
2014-10-17T00:38:00Jocelyn LaroucheManual testing8672186721---0.013--0.708%
2016-02-03T10:08:10Jocelyn LaroucheManual testing23950023950006---0.054--2.780%
2020-11-22T18:25:15Carlos PinhoHomeComputer17300046670006---0.064--3.084%
2021-01-31T02:09:37axnManual testing15000000750000000---8.383--11.142%
2022-03-03T00:13:43Jocelyn LaroucheManual testing9000090000---0.014--0.725%
2022-03-22T17:36:13Jocelyn LaroucheManual testing100000100000---0.015--0.772%
2022-05-24T23:56:10Jocelyn LaroucheManual testing100000130364850---1.096--4.890%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-04-21T00:00:00ANONYMOUSv4_computers21260--0.040--
2009-02-27T17:37:00S485122USB-A260261--0.040--
2011-03-04T18:43:00markroldgamer261262--0.080--
2012-02-20T20:14:00GrunwalderGIMPManual testing21263--0.416--
2016-02-23T16:29:40Mark RoseManual testing262263--0.256--
2015-01-18T21:00:00VictordeHollanderManual testing263264--0.511--
2015-01-18T21:00:00VictordeHollanderManual testing264265--0.973--
2016-02-24T12:36:35omylistManual testing265266--1.947--
2016-11-21T15:09:25Gordon SpenceManual testing266267--3.893--
2018-09-10T13:18:17TJAOIManual testing267268--7.787--
2020-09-07T12:53:25TJAOIManual testing268269--15.57--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.154 GHz-days
Estimated T-Level:1.050
DigitsB1CurvesCompleteFacMiss
201100021 / 1000.21080.973%
255000021 / 2800.07592.762%

New Calculation Method

Total ECM effort:3.154 GHz-days
Estimated T-Level:1.050
DigitsB1CompleteFacMiss
20110000.67750.793%
25500000.06194.061%
302500000.00499.624%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.802
50000500000091.352


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-05-08T00:00:00ANONYMOUSv4_computersB6AF8A6507687D5D0.403
2000-06-11T00:00:00ANONYMOUSv4_computersB6AF8A6507687D5D0.403


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-25T11:09:01MarkSlaptop64
1686706195626621460586308801
0FE03C30D53576E0no


P-1 factor-bounds graph:
B1 = 15000000, B2 = 750000000 (P-1 stage 2)
B1 = 15000000 (P-1 stage 1)
B1 = 100000, B2 = 130364850 (P-1 stage 2)
B1 = 173000, B2 = 4667000 (P-1 stage 2)
B1 = 239500, B2 = 2395000 (P-1 stage 2)
B1 = 239500 (P-1 stage 1)
B1 = 173000 (P-1 stage 1)
B1 = 70000, B2 = 1137500 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 86721 (P-1 stage 1)
B1 = 70000 (P-1 stage 1)
B1 = 20000, B2 = 270000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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1010
TF factor-bounds graph:
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Last modified: 2022-05-24T23:56:10+00:00