is 2 1461913 - 1
has 440080 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-L528D07C9277DDCD0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26720.325468.6567%500000150000000.07144.9330%20.396870.2029%1.5462%
PrimeNet2560.006662.5000%70001200000.00072.9087%0.007363.5908%1.0908%
GPU722600.105165.0000%6500900000.00061.3989%0.105765.4896%0.4896%
Difference+7+20.2203+3.6567%+493500+14910000+0.0708+3.5341%+20.2911+4.7133%+4.7133%

Known prime factors (2 factors, 158.1 bits, 0.01081317% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1461913855122707672774556308572376.17929246703041589156
22 × 32 × 17 × 1049 × 2749 × 16572013
2009-01-2427491657201312,3170.05010.0934
146191345136079497710350473328892581.9011543733433443383788
22 × 3 × 20177 × 138101 × 46167637
2019-04-1213810146167637412,4350.14650.2601

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
146191338596886513815681056252155825011946657277935587348158.079
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-29T00:00:00Team Prime Ribv4_computers15000243750---0.002--0.840%
2016-03-17T19:14:39alpertronManual testing5000001500000012---0.071--4.933%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-10-13T00:00:00ANONYMOUSv4_computers21257--0.013--
2003-07-30T00:00:00ANONYMOUSv4_computers21258--0.026--


ECM factoring results:

Old Calculation Method

Total ECM effort:26.480 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:26.480 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100014.6540.000%
25500001.67418.740%
302500000.14486.623%
3510000000.01099.005%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000001858.770
500005000000663.129
250000400000005014.58


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-27T00:00:00ANONYMOUSv4_computers528D07C9277DDCD00.056


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-01T03:18:54Oliver KruseGTX-2
85512270767277455630857
E4C936407044D3__no
2017-10-27T22:36:32kkmrkkblmbrbkold
85512270767277455630857
E4C936407044D3__no
2019-04-12T16:05:07ATHec2-PRPCF
85512270767277455630857
4513607949771035047332889
E8AFE4E4E537C195no
2019-04-13T17:35:27kkmrkkblmbrbkc5.large
85512270767277455630857
4513607949771035047332889
E8AFE4E4E537C195no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 15000, B2 = 243750 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
TF factor-bounds graph:
267
258
257
250
260
270
280
290
2100
Last modified: 2022-04-07T09:47:15+00:00