is 2 309851 - 1
has 93275 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L32DF5D35B50ECFD7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26795.897471.6418 %10000000197616018600111.113817.3163 %207.011276.5524 %
Target2440.000056.8182 %55007500000.000511.4453 %0.000561.7605 %
Difference+23+95.8974+14.8236 %+9994500+197615268600+111.1133+5.8710%+207.0107+14.7919 %

Known prime factors (1 factor, 88.6 bits, 0.02858143% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3098514562132949811341970297446732788.560736181737320735122736
24 × 3 × 11 × 15991 × 87191769958757
2009-03-221599187191769958757219,650,60748,98291,485

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-07-03ANONYMOUSv4_computers110001100000--0.00116.935%
2001-10-13ANONYMOUSv4_computers500001000000--0.00118.563%
2002-06-09ANONYMOUSv4_computers32768327680012--0.00221.153%
2002-08-10ANONYMOUSv4_computers65536655360012--0.00423.781%
2003-03-27ANONYMOUSv4_computers1310721310720030--0.00926.362%
2006-01-15Jossv4_computers309851309851--0.00315.203%
2008-11-18GrunwalderGIMPGWPrime02200000020000000012--0.12035.943%
2024-02-22Denial140i5-84001000000010000000--0.10125.636%
2024-02-24Denial140i5-840010000000197616018600--108.954.370%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-04-12ANONYMOUSv4_computers212540.008
2022-03-07LordJuliusManual testing254255
2001-03-05ANONYMOUSv4_computers212560.031
2002-02-24ANONYMOUSv4_computers212570.062
2004-02-07ANONYMOUSv4_computers212580.124
2009-01-01Sturle Sundegassmann.ifi2582590.124
2009-01-25Sturle Sundegicy.ifi2592600.248


ECM factoring results:
Total ECM effort:22.824 GHz-days
Estimated T-Level:27.405
DigitsB1CompleteFacMiss
201100033.3810.000%
25500004.6890.919%
302500000.48161.823%
3510000000.03996.169%
4030000000.00399.740%


ECM Summary

B1B2factorcurvesGHz-days
10.108
5000050000002652.000
250000250000001586.027
2500003675000070.303
25000023541903081.379
2500003675521855010.46
25000055133578572.543


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-12-08ANONYMOUSv4_computers32DF5D35B50ECFD70.002


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseDoppelherz
456213294981134197029744673
F3482782130D3A90
2017-09-24Oliver KruseManual testing
456213294981134197029744673
F3482782130D3A90
2017-10-12Oliver KruseGTX-0
456213294981134197029744673
F3482782130D3A90
2017-12-11ATHxps
456213294981134197029744673
F3482782130D3A90
2020-04-18Oliver KruseAddPrpType5
456213294981134197029744673
32877AF7984040E0


CERT results:
No CERT results for M309851


P-1 factor-bounds graph:
B1 = 10000000, B2 = 197616018600 (P-1 stage 2)
B1 = 2000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 309851 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 11000, B2 = 1100000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 11000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
260
259
258
257
256
255
254
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=27.4 ~= 74-bit
250
260
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290
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Last modified: 2024-03-13T02:15:48+00:00