is 2 3440609 - 1
has 1035727 decimal digits
takes 0.361 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L174C1EAE05240D96double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.323967.6471%11601501116423001.09347.6053%18.417370.1076%2.4605%
PrimeNet2600.044663.3333%150002800000.00452.9000%0.049164.3967%1.0633%
GPU722641.034565.6250%190003400000.00561.8538%1.040166.2623%0.6373%
Difference+4+16.2894+2.0221%+1141150+111302300+1.0878+5.7515%+17.3772+3.8454%+3.8454%

Known prime factors (1 factor, 78.9 bits, 0.00229429% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
34406095787900430025012456753512478.93784111569056888075
52 × 3319 × 1013697728917
2016-12-173319101369772891731,1758,410.815,709

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2010-09-28T04:57:00Rob_Deetwopc1000020000---0.002--0.259%
2010-09-29T04:54:00Rob_Deetwopc3000040000---0.005--0.478%
2010-09-29T20:25:00Rob_Deetwopc4000050000---0.006--0.561%
2010-09-30T04:37:00Rob_Deetwopc5000060000---0.008--0.635%
2010-10-01T04:52:00Rob_Deetwopc6000070000---0.009--0.701%
2010-10-02T04:56:00Rob_Deetwopc7000080000---0.011--0.763%
2010-10-03T04:51:00Rob_Deetwopc8000090000---0.012--0.819%
2010-10-04T04:32:00Rob_Deetwopc90000100000---0.014--0.872%
2010-10-04T23:29:00Rob_Deetwopc100000200000---0.016--1.236%
2010-10-05T04:51:00Rob_Deetwopc100000300000---0.017--1.454%
2010-10-05T22:27:00Rob_Deetwopc100000400000---0.018--1.612%
2010-10-06T04:18:00Rob_Deetwopc100000500000---0.019--1.736%
2010-10-06T22:58:00Rob_Deetwopc100000600000---0.019--1.839%
2010-10-07T04:22:00Rob_Deetwopc100000700000---0.020--1.926%
2010-10-07T21:04:00Rob_Deetwopc100000800000---0.021--2.003%
2010-10-08T04:50:00Rob_Deetwopc100000900000---0.022--2.071%
2010-10-08T20:42:00Rob_Deetwopc1000001000000---0.023--2.132%
2014-09-18T00:37:00HBendtzHAL900750000010000000---0.155--4.592%
2021-03-16T19:39:03Jocelyn LaroucheManual testing34406037846696---0.081--3.566%
2021-03-17T00:29:40Jocelyn LaroucheManual testing34406037846696---0.081--3.566%
2022-01-06T11:35:25Jocelyn LaroucheManual testing1160150111642300---1.093--7.605%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-03-22T09:55:00S485122USB-A260261--0.045--
2011-08-12T22:25:00markrManual testing21262--0.179--
2022-05-11T16:04:07LordJuliusManual testing21262--0.179--
2012-08-18T15:34:00GrunwalderGIMPManual testing21263--0.464--
2016-02-23T16:29:29Mark RoseManual testing262263--0.285--
2022-05-11T16:04:07LordJuliusManual testing262263--0.285--
2015-02-24T22:14:00VictordeHollanderManual testing263264--0.571--
2022-05-11T16:04:07LordJuliusManual testing263264--0.571--
2015-02-24T22:14:00VictordeHollanderManual testing264265--1.086--
2022-05-11T16:04:07LordJuliusManual testing264265--1.086--
2021-03-16T19:39:05Jocelyn LaroucheManual testing265266--2.172--
2015-04-15T14:57:00Gordon SpenceManual testing265266--2.172--
2022-05-11T16:04:07LordJuliusManual testing265266--2.172--
2022-05-11T16:04:07LordJuliusManual testing266267--4.344--
2021-06-10T14:05:05Jocelyn LaroucheManual testing267268--8.688--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.616 GHz-days
Estimated T-Level:0.550
DigitsB1CurvesCompleteFacMiss
201100011 / 1000.11089.534%
255000011 / 2800.03996.141%

New Calculation Method

Total ECM effort:1.616 GHz-days
Estimated T-Level:0.550
DigitsB1CompleteFacMiss
20110000.42365.503%
25500000.03996.161%
302500000.00299.753%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.322
50000500000020.294


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-27T00:00:00ANONYMOUSv4_computers174C1EAE05240D960.361


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-06T09:15:20kkmrkkblmbrbkc4.xlarge
578790043002501245675351
4C0CF598685B12__no
2017-11-22T04:43:38Oliver KruseGTX-3
578790043002501245675351
4C0CF598685B12__no


P-1 factor-bounds graph:
B1 = 1160150, B2 = 111642300 (P-1 stage 2)
B1 = 1160150 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 344060, B2 = 3784669 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 344060 (P-1 stage 1)
B1 = 100000, B2 = 1000000 (P-1 stage 2)
B1 = 100000, B2 = 900000 (P-1 stage 2)
B1 = 100000, B2 = 800000 (P-1 stage 2)
B1 = 100000, B2 = 700000 (P-1 stage 2)
B1 = 100000, B2 = 600000 (P-1 stage 2)
B1 = 100000, B2 = 500000 (P-1 stage 2)
B1 = 100000, B2 = 400000 (P-1 stage 2)
B1 = 100000, B2 = 300000 (P-1 stage 2)
B1 = 100000, B2 = 200000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 90000, B2 = 100000 (P-1 stage 2)
B1 = 90000 (P-1 stage 1)
B1 = 80000, B2 = 90000 (P-1 stage 2)
B1 = 80000 (P-1 stage 1)
B1 = 70000, B2 = 80000 (P-1 stage 2)
B1 = 70000 (P-1 stage 1)
B1 = 60000, B2 = 70000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 50000, B2 = 60000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 40000, B2 = 50000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
B1 = 30000, B2 = 40000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 10000, B2 = 20000 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
268
267
266
265
264
263
262
261
250
260
270
280
290
2100
Last modified: 2022-05-11T16:04:07+00:00