is 2 3612607 - 1
has 1087504 decimal digits
takes 0.379 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE7BF11F49C3089B3double-checked
PRP4800C10DFB908E7Fverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26933.047368.1159%15000000100000000010.457111.4931%43.504471.7804%3.6645%
PrimeNet2600.042563.3333%150003000000.00462.9770%0.047264.4249%1.0915%
GPU722640.985365.6250%200004000000.00621.9817%0.991566.3062%0.6812%
Difference+5+32.0620+2.4909%+14980000+999600000+10.4509+9.5114%+42.5129+5.4742%+5.4742%

Known prime factors (1 factor, 87.7 bits, 0.00242699% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
36126072474836278799817929284977532787.67734252774780093958868
22 × 3 × 13 × 23 × 23203 × 411433058887
2021-06-232320341143305888713,611,1643,413.76,375.9

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T10:47:00Carsten Kossendeyleela20000245000---0.005--0.824%
2011-12-02T18:47:00markrtiny2400006180000---0.086--3.426%
2020-06-05T15:12:57axnManual testing1500000045000000012---5.894--10.365%
2020-08-03T12:55:16axnManual testing15000000100000000012---10.46--11.493%
2022-03-04T04:19:38Jocelyn LaroucheManual testing9000090000---0.014--0.716%
2022-03-22T17:35:38Jocelyn LaroucheManual testing100000100000---0.015--0.764%
2022-05-24T23:56:14Jocelyn LaroucheManual testing100000130364850---1.096--4.850%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-04-11T00:00:00ANONYMOUSv4_computers21260--0.043--
2009-03-12T16:38:00S485122USB-Z260261--0.043--
2011-06-02T03:05:00markroldgamer261262--0.085--
2012-06-20T01:21:00GrunwalderGIMPManual testing21263--0.442--
2016-02-23T16:29:34Mark RoseManual testing262263--0.272--
2015-01-20T20:49:00VictordeHollanderManual testing263264--0.543--
2015-01-20T20:49:00VictordeHollanderManual testing264265--1.034--
2015-10-18T15:17:01ramgeisManual testing265266--2.069--
2016-12-23T23:58:56Gordon SpenceManual testing266267--4.137--
2018-12-17T13:21:49TJAOIManual testing267268--8.274--
2020-10-19T15:15:44axnManual testing268269--16.55--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.557 GHz-days
Estimated T-Level:0.850
DigitsB1CurvesCompleteFacMiss
201100017 / 1000.17084.294%
255000017 / 2800.06194.099%

New Calculation Method

Total ECM effort:2.557 GHz-days
Estimated T-Level:0.850
DigitsB1CompleteFacMiss
20110000.65751.844%
25500000.06194.086%
302500000.00499.616%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.225
50000630000020.332


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-05-08T00:00:00ANONYMOUSv4_computersE7BF11F49C3089B30.379
1999-07-30T00:00:00ANONYMOUSv4_computersE7BF11F49C3089B30.379


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-24T15:58:41Luigi Morelli9800
247483627879981792928497753
4800C10DFB908E7Fno


P-1 factor-bounds graph:
B1 = 15000000, B2 = 1000000000 (P-1 stage 2)
B1 = 15000000, B2 = 450000000 (P-1 stage 2)
B1 = 15000000 (P-1 stage 1)
B1 = 100000, B2 = 130364850 (P-1 stage 2)
B1 = 240000, B2 = 6180000 (P-1 stage 2)
B1 = 240000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 20000, B2 = 245000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-24T23:56:14+00:00