is 2 3545051 - 1
has 1067167 decimal digits
takes 0.372 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7E4C3CF84BB9A5A1double-checked
PRP5A50E6B88C6561E8PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272269.765869.4444%5000001303648501.15374.8750%270.919570.9340%1.4896%
PrimeNet2600.043363.3333%150003000000.00462.9671%0.048064.4213%1.0879%
GPU722641.004065.6250%200003600000.00591.9199%1.009966.2850%0.6600%
Difference+8+268.7618+3.8194%+480000+130004850+1.1478+2.9551%+269.9096+4.6491%+0.8296%

Known prime factors (1 factor, 89.4 bits, 0.00252239% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
35450518282025796220659774719962632789.420116811095189048899081
2549 × 1275283 × 35934175943
2021-07-1212752833593417594358,796,714298.34556.87

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T17:20:00Carsten Kossendeyleela20000245000---0.005--0.515%
2011-11-30T02:46:00harleeP4_260060000990000---0.017--1.138%
2014-08-07T10:52:00Jocelyn LaroucheManual testing7810578105---0.012--0.417%
2014-11-17T02:18:00Jocelyn LaroucheManual testing9621096210---0.015--0.480%
2015-12-10T10:27:36HBendtzManual testing5000001200000012---0.172--3.208%
2022-03-01T05:31:58Jocelyn LaroucheManual testing100000100000---0.015--0.492%
2022-05-13T23:10:06Jocelyn LaroucheManual testing500000130364850---1.154--4.875%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-03-31T00:00:00ANONYMOUSv4_computers21260--0.043--
2009-03-16T19:58:00S485122USB-Z260261--0.043--
2011-06-27T22:23:00markroldgamer261262--0.087--
2012-06-20T01:20:00GrunwalderGIMPManual testing21263--0.450--
2016-02-23T16:29:33Mark RoseManual testing262263--0.277--
2015-01-27T16:52:00VictordeHollanderManual testing263264--0.554--
2015-01-27T16:52:00VictordeHollanderManual testing264265--1.054--
2016-03-03T09:33:29ramgeisManual testing265266--2.108--
2017-01-14T00:58:56Gordon SpenceManual testing266267--4.216--
2018-10-08T14:27:15TJAOIManual testing267268--8.432--
2021-01-23T09:45:46axnManual testing268269--16.86--
2021-03-18T21:01:20-Anonymous-Manual testing269270--33.73--
2021-03-18T21:01:20-Anonymous-Manual testing270271--67.45--
2021-03-19T23:55:54-Anonymous-Manual testing271272--134.9--


ECM factoring results:
Total ECM effort:4.281 GHz-days
Estimated T-Level:20.499
DigitsB1CompleteFacMiss
20110001.07734.064%
25500000.10090.510%
302500000.00699.371%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.217
50000680000071.204
50000680000050.860


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-05T00:00:00ANONYMOUSv4_computers7E4C3CF84BB9A5A10.372
1998-07-21T00:00:00ANONYMOUSv4_computers7E4C3CF84BB9A5A10.372
1999-07-27T00:00:00Toddv4_computers7E4C3CF84BB9A5A10.372
2002-07-14T00:00:00Toddv4_computers7E4C3CF84BB9A5A10.372


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-14T02:26:46kutenssol
828202579622065977471996263
5A50E6B88C6561E8no


P-1 factor-bounds graph:
B1 = 500000, B2 = 130364850 (P-1 stage 2)
B1 = 500000, B2 = 12000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 60000, B2 = 990000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 96210 (P-1 stage 1)
B1 = 78105 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 20000, B2 = 245000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
103
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1010
1011
TF factor-bounds graph:
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271
270
269
268
267
266
265
264
263
262
261
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2100
Last modified: 2022-05-13T23:10:06+00:00