is 2 9758857 - 1
has 2937709 decimal digits
takes 2.846 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2673.044864.1791%700000027210573390629.776118.4068%632.820970.7726%6.5935%
PrimeNet2640.364762.5000%4000011000000.04133.5152%0.406163.8182%1.3182%
GPU722686.107864.7059%6500015000000.06062.5580%6.168365.6087%0.9028%
Difference-1-3.0630-0.5268%+6935000+27209073390+629.7155+15.8487%+626.6526+5.1638%+5.1638%

Known prime factors (2 factors, 142.7 bits, 0.00146229% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
9758857120749045872634412412063.389618663875660
22 × 5 × 107 × 289095269
1999-06-061072890952690.32386.661312.441
97588577515912407663560253279592479.31438508159345216147
32 × 29 × 601 × 245492246927
2022-05-0360124549224692718,3225,656.610,565

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
9758857907539252087669389469987893080815795095711943142.703
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-05-14T06:09:20riccardo ubertiXeon20C700000027210573390-
skipped known factor: 12074904587263441241
--629.8--18.407%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-04-27T17:37:04riccardo ubertiColab_noGPU1520000005000000027--2.370
2022-05-03T17:09:22riccardo ubertiColab_noGPU1523000006000000065P+12479.3142.781


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-06-06T00:00:00ANONYMOUSv4_computers??63.389200.1605.7890.326


ECM factoring results:

Old Calculation Method

Total ECM effort:8.584 GHz-days
Estimated T-Level:0.500
DigitsB1CurvesCompleteFacMiss
201100010 / 1000.10090.438%
255000010 / 2800.03696.485%

New Calculation Method

Total ECM effort:8.584 GHz-days
Estimated T-Level:0.500
DigitsB1CompleteFacMiss
20110000.43564.741%
25500000.04096.125%
302500000.00399.748%


ECM Summary

B1B2factorcurvesGHz-days
5000014400000108.584


Lucas-Lehmer results:
No L-L results for M9758857


PRP results:
dateuseridcompidcofactorsres64PRP
2019-10-22T20:20:22mnd9f3b
12074904587263441241
B3D8D3D92B380C__no
2020-12-29T18:17:19kutenshadar
12074904587263441241
B3D8D3D92B380C1Bno
2022-05-04T03:34:16riccardo ubertiNomad2C
12074904587263441241
751591240766356025327959
B3D8D3D92B380C1Bno


P-1 factor-bounds graph:
B1 = 7000000, B2 = 27210573390 (P-1 stage 2)
B1 = 7000000 (P-1 stage 1)
B1 = 2300000, B2 = 60000000 (P+1 stage 2)
B1 = 2300000 (P+1 stage 1)
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107
101
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1010
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TF factor-bounds graph:
267
2
250
260
270
280
290
2100
Last modified: 2022-05-14T06:09:20+00:00