is 2 3526147 - 1
has 1061477 decimal digits
takes 0.370 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L061A392389D64ADCdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26816.903767.6471%5000001452087001.27687.1650%18.180569.9652%2.3181%
PrimeNet2600.043663.3333%150003000000.00462.9643%0.048264.4203%1.0869%
GPU722641.009465.6250%200003600000.00591.9180%1.015366.2843%0.6593%
Difference+4+15.8943+2.0221%+480000+144848700+1.2710+5.2470%+17.1652+3.6808%+3.6808%

Known prime factors (1 factor, 65.5 bits, 0.00185869% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3526147536461022129380950172065.5407606900990364
22 × 13 × 23 × 61 × 104266969
2015-05-18611042669693.93320.86511.6158

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T10:57:00Carsten Kossendeyleela20000245000---0.005--0.954%
2011-11-21T10:50:00harleeP4_260060000990000---0.017--1.925%
2014-08-07T10:52:00Jocelyn LaroucheManual testing7820278202---0.012--0.757%
2014-11-10T23:29:00Jocelyn LaroucheManual testing9640496404---0.015--0.858%
2022-03-01T15:47:05Jocelyn LaroucheManual testing100000100000---0.015--0.877%
2022-04-30T16:38:22Jocelyn LaroucheManual testing500000145208700-
skipped known factor: 53646102212938095017
--1.277--7.165%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-03-18T05:52:00S485122USB-A260261--0.044--
2011-07-03T07:47:00Grant McCrackenthumper261262--0.087--
2022-06-04T00:52:48LordJuliusManual testing21262--0.174--
2012-06-20T01:19:00GrunwalderGIMPManual testing21263--0.453--
2022-06-04T00:52:48LordJuliusManual testing262263--0.278--
2015-01-27T16:52:00VictordeHollanderManual testing263264--0.557--
2022-06-04T00:52:48LordJuliusManual testing263264--0.557--
2015-01-27T16:52:00VictordeHollanderManual testing264265--1.060--
2022-06-04T00:52:48LordJuliusManual testing264265--1.060--
2022-06-04T00:52:48LordJuliusManual testing26526665.540201.8640.7523.786
2022-06-04T00:52:48LordJuliusManual testing266267--4.238--
2022-02-22T08:55:13Jocelyn LaroucheManual testing267268--8.477--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.886 GHz-days
Estimated T-Level:0.300
DigitsB1CurvesCompleteFacMiss
20110006 / 1000.06094.148%
25500006 / 2800.02197.876%

New Calculation Method

Total ECM effort:0.886 GHz-days
Estimated T-Level:0.300
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000060.886


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-08-24T00:00:00Ignacio_Larrosav4_computers061A392389D64ADC0.370
1999-08-31T00:00:00ANONYMOUSv4_computers061A392389D64ADC0.370
2001-07-07T00:00:00Ignacio_Larrosav4_computers061A392389D64ADC0.370


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-08T23:11:31kkmrkkblmbrbkc4.large
53646102212938095017
3E77976DA33AB4__no
2017-11-24T19:19:09Oliver KruseThreadripper
53646102212938095017
3E77976DA33AB4__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 145208700 (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 = 96404 (P-1 stage 1)
B1 = 78202 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 20000, B2 = 245000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
100
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109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
250
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2100
Last modified: 2022-06-04T00:52:48+00:00