is 2 3594427 - 1
has 1082031 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-L087231806E25F3CCdouble-checked
PRPF965CFC2C3D58461verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual271133.005469.0141%3000000900000001.17876.2690%134.184270.9566%1.9425%
PrimeNet2600.042763.3333%150003000000.00462.9743%0.047464.4239%1.0906%
GPU722640.990265.6250%200004000000.00621.9799%0.996466.3056%0.6806%
Difference+7+132.0152+3.3891%+2980000+89600000+1.1725+4.2891%+133.1877+4.6510%+4.6510%

Known prime factors (1 factor, 72.6 bits, 0.00202030% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
359442772487088806939204210732272.6181008326067088568
23 × 108503 × 1161633857
2021-07-061085031161633857456.609.65418.002

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-10T14:36:00Carsten Kossendeyleela20000245000---0.005--0.604%
2012-01-01T09:17:00Squeeky_SquirrelP4_2600900001620000---0.026--1.647%
2016-06-03T02:33:23Jocelyn LaroucheManual testing10800032400006---0.042--2.034%
2016-06-03T05:00:42Squeeky_SquirrelP4_2600225000658125012---0.087--2.764%
2020-02-08T02:14:04BigBrotherWinston30000009000000012---1.179--6.269%
2022-03-04T19:30:00Jocelyn LaroucheManual testing9000090000---0.014--0.534%
2022-03-22T11:08:59Jocelyn LaroucheManual testing100000100000---0.015--0.572%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-03-17T00:00:00ANONYMOUSv4_computers21260--0.043--
2009-03-13T18:09:00S485122USB-Z260261--0.043--
2011-06-10T04:33:00markroldgamer261262--0.085--
2012-07-02T04:05:00GrunwalderGIMPManual testing21263--0.444--
2016-02-23T16:29:34Mark RoseManual testing262263--0.273--
2015-02-07T18:28:00VictordeHollanderManual testing263264--0.546--
2015-02-07T18:28:00VictordeHollanderManual testing264265--1.039--
2016-02-24T09:33:31ramgeisManual testing265266--2.079--
2017-01-21T23:13:27Gordon SpenceManual testing266267--4.158--
2018-07-09T09:05:33TJAOIManual testing267268--8.316--
2020-12-18T04:31:59axnManual testing268269--16.63--
2021-03-16T23:57:06-Anonymous-Manual testing269270--33.26--
2021-03-16T23:57:06-Anonymous-Manual testing270271--66.53--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.112 GHz-days
Estimated T-Level:1.050
DigitsB1CurvesCompleteFacMiss
201100021 / 1000.21080.973%
255000021 / 2800.07592.762%

New Calculation Method

Total ECM effort:3.112 GHz-days
Estimated T-Level:1.050
DigitsB1CompleteFacMiss
20110000.67750.793%
25500000.06194.061%
302500000.00499.624%


ECM Summary

B1B2factorcurvesGHz-days
500005000000192.815
50000500000020.296


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-17T00:00:00ANONYMOUSv4_computers087231806E25F3CC0.378
1999-07-30T00:00:00Toddv4_computers087231806E25F3CC0.378
2002-07-14T00:00:00Toddv4_computers087231806E25F3CC0.378


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-07T15:23:59kutenssol
7248708880693920421073
F965CFC2C3D58461no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 225000, B2 = 6581250 (P-1 stage 2)
B1 = 108000, B2 = 3240000 (P-1 stage 2)
B1 = 225000 (P-1 stage 1)
B1 = 90000, B2 = 1620000 (P-1 stage 2)
B1 = 108000 (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)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
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270
269
268
267
266
265
264
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262
261
260
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260
270
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2100
Last modified: 2022-03-22T11:08:59+00:00