is 2 680177 - 1
has 204754 decimal digits
takes 0.014 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
Actual26743.685670.1493%1000000300000000.07475.5392%43.760371.8027%1.6535%
PrimeNet2400.000050.0000%65002400000.000621.1728%0.000660.5864%10.5864%
GPU722440.000054.5455%110004000000.000916.0430%0.000961.8377%7.2923%
Difference+23+43.6856+15.6038%+989000+29600000+0.0738-10.5038%+43.7593+9.9650%+9.9650%

Known prime factors (2 factors, 137.6 bits, 0.02022955% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
68017767589445332888495691962.5524968518880592
24 × 310532430037
2007-08-27163105324300371.1069489.96915.11
680177389818950551405952675432375.04528655699218836123
3 × 7 × 19 × 113 × 157 × 4048181897
2016-10-14157404818189715,4946.387211.930

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
68017726347646648018216351540602436985223523896742137.597
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-07T00:00:00Alex Kruppav4_computers1000004000000---0.009--2.617%
2002-05-11T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.233%
2002-07-14T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.856%
2002-10-19T00:00:00ANONYMOUSv4_computers655366553600---0.012--2.619%
2003-06-17T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.510%
unknown100000030000000---0.075--5.539%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-02-09T00:00:00ANONYMOUSv4_computers253254--0.002--
2022-03-07T09:02:47LordJuliusManual testing254255--0.004--
2001-04-08T00:00:00ANONYMOUSv4_computers21256--0.014--
2002-01-02T00:00:00ANONYMOUSv4_computers21257--0.028--
2003-10-08T00:00:00ANONYMOUSv4_computers21258--0.056--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.271 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:11.271 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002716.097
500005000000100.225
25000025000000444.950


Lucas-Lehmer results:
No L-L results for M680177


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T15:01:24Oliver KruseGTX-1
6758944533288849569
38981895055140595267543
761F195D97AAB66Ano
2017-09-28T09:45:00Oliver KruseManual testing
6758944533288849569
38981895055140595267543
761F195D97AAB6__no
2017-10-13T14:34:25Oliver KruseThreadripper761F195D97AAB6__no
2017-12-15T16:42:46ATHec2-1xf
6758944533288849569
38981895055140595267543
761F195D97AAB6__no
2020-04-20T02:43:17Oliver KruseAddPrpType5
6758944533288849569
38981895055140595267543
361AF513C87C6D__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-07T09:02:47+00:00