is 2 3603169 - 1
has 1084662 decimal digits
takes 0.378 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L65CB75FBAC7E7AA2double-checked
PRPB45BAEE4FA437AA9verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27066.316868.5714%15000000100000000010.457110.7380%76.773971.9462%3.3748%
PrimeNet2600.042663.3333%150003000000.00462.9756%0.047364.4244%1.0910%
GPU722640.987865.6250%200004000000.00621.9808%0.994066.3059%0.6809%
Difference+6+65.3290+2.9464%+14980000+999600000+10.4509+8.7572%+75.7799+5.6403%+5.6403%

Known prime factors (1 factor, 72.8 bits, 0.00201918% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
360316979660338833218548735532272.7541105420517788904
23 × 467 × 295883436239
2021-10-15467295883436239509.272,455.04,585.3

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-04T06:44:00Carsten Kossendeyleela20000245000---0.005--0.706%
2011-11-23T01:21:00markrtiny2400006120000---0.085--3.070%
2020-05-24T01:49:34axnManual testing1500000060000000012---7.138--10.050%
2020-07-28T17:59:55axnManual testing15000000100000000012---10.46--10.738%
2022-03-04T19:29:56Jocelyn LaroucheManual testing9000090000---0.014--0.619%
2022-03-22T11:08:57Jocelyn LaroucheManual testing100000100000---0.015--0.661%
2022-05-25T14:13:47Jocelyn LaroucheManual testing100000130364850---1.096--4.355%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-06-28T00:00:00ANONYMOUSv4_computers21260--0.043--
2009-03-13T06:30:00S485122USB-A260261--0.043--
2011-06-12T11:20:00markrManual testing21262--0.171--
2012-06-05T02:28:00GrunwalderGIMPManual testing21263--0.443--
2016-02-23T16:29:34Mark RoseManual testing262263--0.272--
2015-01-20T20:49:00VictordeHollanderManual testing263264--0.545--
2015-01-20T20:49:00VictordeHollanderManual testing264265--1.037--
2015-10-19T08:19:15ramgeisManual testing265266--2.074--
2016-12-21T02:23:31Gordon SpenceManual testing266267--4.148--
2019-02-04T14:28:14TJAOIManual testing267268--8.296--
2020-10-18T02:09:38axnManual testing268269--16.59--
2020-11-14T17:10:20axnManual testing269270--33.18--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.059 GHz-days
Estimated T-Level:1.650
DigitsB1CurvesCompleteFacMiss
201100033 / 1000.33071.773%
255000033 / 2800.11888.864%

New Calculation Method

Total ECM effort:5.059 GHz-days
Estimated T-Level:1.650
DigitsB1CompleteFacMiss
20110001.08033.957%
25500000.09890.669%
302500000.00699.398%


ECM Summary

B1B2factorcurvesGHz-days
500005000000223.262
50000500000040.593
50000675000071.204


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-07-21T00:00:00ANONYMOUSv4_computers65CB75FBAC7E7AA20.378
1999-07-30T00:00:00ANONYMOUSv4_computers65CB75FBAC7E7AA20.378


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-22T11:18:17GANLMS-11
7966033883321854873553
B45BAEE4FA437AA9no


P-1 factor-bounds graph:
B1 = 15000000, B2 = 1000000000 (P-1 stage 2)
B1 = 15000000, B2 = 600000000 (P-1 stage 2)
B1 = 15000000 (P-1 stage 1)
B1 = 100000, B2 = 130364850 (P-1 stage 2)
B1 = 240000, B2 = 6120000 (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: 2022-05-25T14:13:47+00:00