is 2 3580669 - 1
has 1077889 decimal digits
takes 0.376 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L9EEF96A4110E9B48double-checked
PRP381282FB32045A4Fverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272267.082469.4444%3580669359882250030.37579.6580%297.458172.3955%2.9511%
PrimeNet2600.042963.3333%150003000000.00462.9723%0.047564.4232%1.0898%
GPU722640.994065.6250%200004000000.00621.9785%1.000266.3051%0.6801%
Difference+8+266.0884+3.8194%+3560669+3598422500+30.3695+7.6795%+296.4579+6.0904%+6.0904%

Known prime factors (1 factor, 74.8 bits, 0.00208810% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3580669321670695852152542524412374.7684491768100488380
22 × 5 × 584719 × 384096301
2021-06-295847193840963012,016.73.27115.9523

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-09T19:18:00Carsten Kossendeyleela20000245000---0.005--0.516%
2011-12-26T08:57:00Squeeky_SquirrelP4_2600850001593750---0.025--1.423%
2016-05-07T11:39:02Squeeky_SquirrelP4_2600225000658125012---0.087--2.473%
2022-03-01T15:51:53Jocelyn LaroucheManual testing100000100000---0.015--0.493%
2022-05-25T14:13:21Jocelyn LaroucheManual testing100000130364850---1.096--3.491%
2022-08-13T14:06:56Jocelyn LaroucheManual testing35806693598822500-
skipped known factor: 32167069585215254252441
--30.38--9.658%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-04-11T00:00:00netconxv4_computers21260--0.043--
2009-03-15T08:10:00S485122USB-Z260261--0.043--
2011-06-26T19:26:00Grant McCrackenthumper261262--0.086--
2012-07-02T04:04:00GrunwalderGIMPManual testing21263--0.446--
2016-02-23T16:29:34Mark RoseManual testing262263--0.274--
2015-01-30T19:16:00VictordeHollanderManual testing263264--0.548--
2015-01-30T19:16:00VictordeHollanderManual testing264265--1.043--
2016-02-25T15:27:56ramgeisManual testing265266--2.087--
2017-01-20T05:22:18Gordon SpenceManual testing266267--4.174--
2018-10-15T12:54:50TJAOIManual testing267268--8.348--
2020-12-19T09:45:59axnManual testing268269--16.70--
2021-03-18T17:14:31-Anonymous-Manual testing269270--33.39--
2021-03-18T17:14:31-Anonymous-Manual testing270271--66.78--
2021-03-20T11:11:42-Anonymous-Manual testing271272--133.6--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.157 GHz-days
Estimated T-Level:1.050
DigitsB1CurvesCompleteFacMiss
201100021 / 1000.21080.973%
255000021 / 2800.07592.762%

New Calculation Method

Total ECM effort:3.157 GHz-days
Estimated T-Level:1.050
DigitsB1CompleteFacMiss
20110000.81444.304%
25500000.07592.746%
302500000.00599.526%


ECM Summary

B1B2factorcurvesGHz-days
500005000000192.813
50000675000020.344


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-05-01T00:00:00netconxv4_computers9EEF96A4110E9B480.376
1999-08-16T00:00:00ANONYMOUSv4_computers9EEF96A4110E9B480.376


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-30T20:58:16kutenssol
32167069585215254252441
381282FB32045A4Fno


P-1 factor-bounds graph:
B1 = 3580669, B2 = 3598822500 (P-1 stage 2)
B1 = 100000, B2 = 130364850 (P-1 stage 2)
B1 = 3580669 (P-1 stage 1)
B1 = 225000, B2 = 6581250 (P-1 stage 2)
B1 = 225000 (P-1 stage 1)
B1 = 85000, B2 = 1593750 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 85000 (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: 2022-08-13T14:06:56+00:00