is 2 1468591 - 1
has 442090 decimal digits
takes 0.056 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L29CD1FA766CFF689double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26720.232968.6567%500000150000000.07144.9357%20.304470.2037%1.5470%
PrimeNet2560.006562.5000%70001200000.00072.9112%0.007363.5917%1.0917%
GPU722600.104665.0000%65001000000.00061.4468%0.105265.5064%0.5064%
Difference+7+20.1284+3.6567%+493500+14900000+0.0708+3.4889%+20.1991+4.6974%+4.6974%

Known prime factors (2 factors, 147.3 bits, 0.01003152% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
14685915117779521984675513912168.794174241144130145
3 × 5 × 809 × 3919 × 3663833
2009-06-063919366383361.0720.01130.0206
14685914357851795867851639491132478.528148368463236798116
22 × 13 × 5861 × 486817894153
2019-03-29586148681789415380,6251,468.42,742.5

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
146859122302524680736633499493773202712294483636618345147.322
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-29T00:00:00Team Prime Ribv4_computers20000270000---0.002--0.962%
2016-03-17T19:14:44alpertronManual testing5000001500000012-
skipped known factor: 511777952198467551391
--0.071--4.936%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-10-06T00:00:00ANONYMOUSv4_computers21257--0.013--
2003-07-30T00:00:00ANONYMOUSv4_computers21258--0.026--


ECM factoring results:

Old Calculation Method

Total ECM effort:25.592 GHz-days
Estimated T-Level:25.391
DigitsB1CurvesCompleteFacMiss
2011000301 / 1003.0104.855%
2550000301 / 2801.07534.064%
3025000050 / 6400.07892.479%

New Calculation Method

Total ECM effort:25.592 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100014.6540.000%
25500001.65119.189%
302500000.14186.866%
3510000000.01099.021%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000001959.252
500005000000562.657
250000350000005013.68


Lucas-Lehmer results:
No L-L results for M1468591


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-01T04:18:39Oliver KruseGTX-0
511777952198467551391
9A51F08BB30AD2__no
2017-10-28T04:22:51kkmrkkblmbrbkold
511777952198467551391
9A51F08BB30AD2__no
2019-03-29T13:42:36ATHec2-PRPCF
511777952198467551391
435785179586785163949113
EF7BBA9644E78446no
2019-03-30T09:42:12oodairacom1
511777952198467551391
435785179586785163949113
EF7BBA9644E78446no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 20000, B2 = 270000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
267
258
257
250
260
270
280
290
2100
Last modified: 2021-12-28T11:13:58+00:00