is 2 3698551 - 1
has 1113375 decimal digits
takes 0.388 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP89C592D42C4E35F2verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27064.606668.5714%300000006000000009.298110.3857%73.904771.8355%3.2641%
PrimeNet2600.041563.3333%160003200000.00503.0834%0.046564.4639%1.1306%
GPU722640.962465.6250%220004500000.00692.1055%0.969366.3488%0.7238%
Difference+6+63.6442+2.9464%+29978000+599550000+9.2912+8.2802%+72.9354+5.4867%+5.4867%

Known prime factors (1 factor, 74.7 bits, 0.00201965% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3698551306378084360551274160972374.6984141866427697648
24 × 132 × 43 × 35622217109
2021-07-21169356222171091,076.5295.56552.03

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-14T06:54:00Carsten Kossendeydurandal20000260000---0.005--0.724%
2012-04-02T04:55:00Squeeky_SquirrelP4_26001150002328750---0.036--2.160%
2017-01-19T17:19:07Jocelyn Larouchelow 4M138000138000---0.021--0.806%
2017-01-30T01:30:40Jocelyn Larouchelow 4M165600165600---0.025--0.894%
2017-02-04T18:42:50Jocelyn Larouchelow 4M198720198720---0.030--0.988%
2017-02-09T21:17:26Squeeky_SquirrelP4_2600235000693250012---0.091--3.152%
2017-02-25T21:03:21Jocelyn Larouchelow 4M23846423846406---0.054--2.470%
2020-12-07T17:25:35axnManual testing3000000060000000012---9.298--10.386%
2022-03-04T04:18:37Jocelyn LaroucheManual testing9000090000---0.014--0.622%
2022-03-22T11:10:13Jocelyn LaroucheManual testing100000100000---0.015--0.664%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:37Mark RoseManual testing21260--0.042--
2009-03-07T17:50:00S485122USB-Z260261--0.042--
2011-05-13T01:09:00Grant McCrackenthumper261262--0.083--
2012-06-05T02:34:00GrunwalderGIMPManual testing21263--0.432--
2016-02-23T16:29:37Mark RoseManual testing262263--0.265--
2015-01-25T20:43:00VictordeHollanderManual testing263264--0.531--
2015-01-25T20:43:00VictordeHollanderManual testing264265--1.010--
2015-10-21T10:28:09ramgeisManual testing265266--2.020--
2017-01-05T14:31:32Gordon SpenceManual testing266267--4.041--
2018-06-18T10:07:26TJAOIManual testing267268--8.082--
2020-11-03T16:51:45axnManual testing268269--16.16--
2020-11-03T16:51:45axnManual testing269270--32.33--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.683 GHz-days
Estimated T-Level:0.900
DigitsB1CurvesCompleteFacMiss
201100018 / 1000.18083.451%
255000018 / 2800.06493.763%

New Calculation Method

Total ECM effort:2.683 GHz-days
Estimated T-Level:0.900
DigitsB1CompleteFacMiss
20110000.58155.954%
25500000.05294.888%
302500000.00399.677%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.788
50000500000060.894


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-07T00:00:00ANONYMOUSv4_computers9862A6F47F1E99__0.388


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-22T11:07:31SRJ2877LTOS
30637808436055127416097
89C592D42C4E35F2no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 600000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 235000, B2 = 6932500 (P-1 stage 2)
B1 = 238464, B2 = 2384640 (P-1 stage 2)
B1 = 238464 (P-1 stage 1)
B1 = 115000, B2 = 2328750 (P-1 stage 2)
B1 = 235000 (P-1 stage 1)
B1 = 198720 (P-1 stage 1)
B1 = 165600 (P-1 stage 1)
B1 = 138000 (P-1 stage 1)
B1 = 115000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
270
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267
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2100
Last modified: 2022-03-22T11:10:13+00:00