is 2 8435159 - 1
has 2539236 decimal digits
takes 2.203 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LE29DDCA22B729F6Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual273226.770467.1233%2600000196334775041.43038.7553%268.200770.0018%2.8785%
Target2687.066264.7059%5000011000000.04062.1896%7.106865.4787%0.7728%
Difference+5+219.7042+2.4174%+2550000+1962247750+41.3897+6.5658%+261.0938+4.5231%+2.1057%

Known prime factors (1 factor, 129.9 bits, 0.00153993% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8435159126586428890307711920617944328931485739940129.89575034998682483467069570321276061
113 × 881 × 246931 × 268817 × 716543 × 1345350091		2023-01-0871654313453500911.759e+1028.00851.832

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-09T04:59:00Carsten Kossendeyleela45000675000---0.030--0.956%
2012-07-29T17:54:00bcp19Toshiba-740Q1000001825000---0.073--1.556%
2021-12-15T01:52:33GdSManual testing10237343071200712---1.000--4.281%
2022-12-16T21:30:01yoyorocks1Manual testing2600000196334775040129.89541.434.40582.868.755%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-09-20T00:00:00ANONYMOUSv4_computers21262--0.073--
1998-10-18T00:00:00ANONYMOUSv4_computers21262--0.073--
1999-02-21T00:00:00ANONYMOUSv4_computers21263--0.189--
2000-01-12T00:00:00ANONYMOUSv4_computers21264--0.422--
2014-03-17T23:27:00lycornManual testing264265--0.443--
2015-05-26T22:21:00VictordeHollanderManual testing265266--0.886--
2016-01-07T20:25:39snme2pm1Manual testing266267--1.772--
2018-03-10T11:45:11monstManual testing267268--3.544--
2020-01-03T12:08:15TJAOIManual testing268269--7.087--
2021-08-20T17:13:50SRBaseManual testing269270--14.17--
2021-08-26T16:07:24SRBaseManual testing270271--28.35--
2021-10-05T16:24:02SRBaseManual testing271272--56.70--
2021-12-04T23:36:38-Anonymous-Manual testing272273--113.4--


ECM factoring results:
Total ECM effort:1.191 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.191


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-05-17T00:00:00ANONYMOUSv4_computersE29DDCA22B729F6E2.203
2003-02-24T00:00:00Luigi Morelliv4_computersE29DDCA22B729F6E2.203


PRP results:
dateuseridcompidcofactorsres64PRP
2023-01-13T22:09:10Perigbreagan
1265864288903077119206179443289314857399
29975E8790F26E__no


P-1 factor-bounds graph:
B1 = 2600000, B2 = 1963347750 (P-1 stage 2)
B1 = 1023734, B2 = 30712007 (P-1 stage 2)
B1 = 2600000 (P-1 stage 1)
B1 = 1023734 (P-1 stage 1)
B1 = 100000, B2 = 1825000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 45000, B2 = 675000 (P-1 stage 2)
B1 = 45000 (P-1 stage 1)
103
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106
107
103
104
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106
107
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109
1010
TF factor-bounds graph:
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271
270
269
268
267
266
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264
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262
250
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2100
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Last modified: 2023-01-13T22:09:10+00:00