is 2 9574189 - 1
has 2882119 decimal digits
takes 2.792 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26912.469765.2174%20000004660145490108.177312.6906%120.646969.6315%
Target2686.225664.7059%6000014000000.05632.4670%6.281865.5766%
Difference+1+6.2441+0.5115%+1940000+4658745490+108.1210+10.2236%+114.3651+4.0549%

Known prime factors (7 factors, 310.6 bits, 0.00324389% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
957418920488764471030.932107
107
-11071.529e-112.865e-64.465e-6
957418941360496491031.946216
23 × 33
2008-09-0827273.128e-111.142e-52.324e-5
9574189126379294811133.557660
22 × 3 × 5 × 11
2008-09-085111.366e-102.253e-64.304e-6
957418915593481624311340.50481435
3 × 5 × 61 × 89
2008-09-0861892.489e-82.644e-55.250e-5
957418959545902550391342.437310971
3 × 103657
2008-09-3031036578.015e-80.00240.0045
9574189524060001303710960812065.5062736837560360
23 × 5 × 68420939009
2018-12-198684209390091.01881,576.52,944.5
9574189596615281854889218732065.6933115748403624
23 × 3 × 129822850151
2019-03-2181298228501511.04992,991.35,587.0

120 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-26Seth_TrManual testing36000021960000-
skipped known factor: 2048876447
skipped known factor: 4136049649
skipped known factor: 12637929481
skipped known factor: 1559348162431
skipped known factor: 5954590255039
--0.650--5.239%
2022-06-20ThaZ-1702000000466014549054179.376108.25.585216.412.691%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08Will EdgingtonManual testing??33.557111.70747e-1111.877.25600e-11
2008-09-08Will EdgingtonManual testing??40.504139.58668e-911.874.07392e-8
2008-09-08Will EdgingtonManual testing??31.946101.39702e-1211.875.93673e-12
2008-09-30markrManual testing??42.437131.89548e-811.878.05495e-8
2022-11-11LordJuliusManual testing2126433.557111.36598e-1011.875.80480e-10
2022-11-11LordJuliusManual testing2126440.504132.48856e-811.871.05753e-7
2022-11-11LordJuliusManual testing2126430.932101.52864e-1111.876.49605e-11
2022-11-11LordJuliusManual testing2126431.946103.12778e-1111.871.32917e-10
2022-11-11LordJuliusManual testing2126442.437138.01506e-811.873.40605e-7
2022-11-11LordJuliusManual testing2126462.878190.07611.700.319
2022-11-11LordJuliusManual testing264265--0.390--
2018-12-19TJAOIManual testing265266*65.506200.25710.320.949
2019-03-21TJAOIManual testing265266*65.693200.28810.321.064
2022-11-11LordJuliusManual testing265266
skipped known factors(?)
--0.781--
2022-11-11LordJuliusManual testing26526665.506200.25710.320.949
2022-11-11LordJuliusManual testing26526665.693200.28810.321.064
2022-11-11LordJuliusManual testing266267--1.561--
2022-11-11LordJuliusManual testing267268--3.122--
2022-11-28LordJuliusManual testing268269--6.244--


ECM factoring results:
No ECM results for M9574189


Lucas-Lehmer results:
No L-L results for M9574189


PRP results:
dateuseridcompidcofactorsres64PRP
2019-08-09nordinordiputerF625F265E9F887__?
2019-09-26ATHec2-PRPCF
2048876447
4136049649
12637929481
1559348162431
5954590255039
52406000130371096081
59661528185488921873
524B605DFC698B__no
2020-12-13Oliver KruseThreadripper-PC
2048876447
4136049649
12637929481
1559348162431
5954590255039
52406000130371096081
59661528185488921873
524B605DFC698BE9no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 4660145490 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 360000, B2 = 21960000 (P-1 stage 2)
B1 = 360000 (P-1 stage 1)
100
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103
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105
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107
100
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109
1010
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1012
TF factor-bounds graph:
269
268
267
266
265
264
2
this exponent TF target: 68
TF double-checked to: 67.7
250
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270
Last modified: 2023-03-23T17:39:31+00:00