is 2 1168411 - 1
has 351727 decimal digits
takes 0.036 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L2B000174C1E02B66double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26725.431068.6567%300000100000000.03684.1469%25.467969.9565%1.2998%
PrimeNet2560.008262.5000%5000800000.00042.2575%0.008663.3466%0.8466%
GPU722600.131565.0000%5000280000.00030.7979%0.131765.2793%0.2793%
Difference+7+25.2996+3.6567%+295000+9972000+0.0366+3.3491%+25.3362+4.6772%+4.6772%

Known prime factors (2 factors, 120.8 bits, 0.01034213% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
11684117464434194203793991859.373319426734009
3 × 13127 × 8111189
2007-10-111312781111890.11280.02020.0367
116841131845450131204577191961.4661362767473569
3 × 454255824523
2016-04-2934542558245230.42731,100.52,055.4

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1168411237708266889175143731932639151813088137120.839
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-03-16T00:00:00Jocelyn Larouchev4_computers10001000---4.44667e-5--0.005%
2002-06-09T00:00:00ANONYMOUSv4_computers500001000000---0.005--1.747%
unknown30000010000000---0.037--4.147%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-10T00:00:00ANONYMOUSv4_computers21257--0.016--
2003-05-04T00:00:00ANONYMOUSv4_computers21258--0.033--
2022-03-07T17:31:14LordJuliusManual testing25826159.373180.0800.0730.162
2022-04-12T18:37:02LordJuliusManual testing2126159.373180.1130.0730.229
2016-04-29T15:26:25TJAOIManual testing261262*61.466190.1640.0730.334
2022-04-12T18:37:02LordJuliusManual testing26126261.466190.1640.0730.334
2022-04-12T18:37:02LordJuliusManual testing262263--0.840--
2022-04-12T18:37:02LordJuliusManual testing263264--1.680--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.402 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:18.402 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000028110.32
25000025000000448.081


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-11-02T00:00:00ANONYMOUSv4_computers2B000174C1E02B660.036


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-29T09:16:26Oliver KruseGTX-3
746443419420379399
3184545013120457719
60D4D0993DC9F3__no
2017-10-17T12:30:57Oliver KruseThreadripper
746443419420379399
3184545013120457719
60D4D0993DC9F3__no
2018-01-06T02:09:43ATHec2-1xf
746443419420379399
3184545013120457719
60D4D0993DC9F3__no


P-1 factor-bounds graph:
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 1000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
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1012
TF factor-bounds graph:
267
264
263
262
261
258
257
250
260
270
280
290
2100
Last modified: 2022-04-12T18:37:02+00:00