is 2 3557681 - 1
has 1070969 decimal digits
takes 0.374 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-
PRP0E6DA4A10E924E34verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272268.808269.4444%10000001303186501.22535.4048%270.033471.0959%1.6515%
PrimeNet2600.043263.3333%150003000000.00462.9690%0.047864.4220%1.0886%
GPU722641.000565.6250%200003600000.00591.9211%1.006366.2854%0.6604%
Difference+8+267.8077+3.8194%+980000+129958650+1.2194+3.4836%+269.0271+4.8105%+4.8105%

Known prime factors (1 factor, 105.1 bits, 0.00295363% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
35576814290240010897920041724199134868132105.0816029545665980058416879140
22 × 5 × 9463 × 1905929327 × 16715484157
2021-08-291905929327167154841574.749e+10413.13590.72

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-07T17:49:00Carsten Kossendeyleela20000245000---0.005--0.515%
2011-12-17T14:26:00Squeeky_SquirrelP4_2600600001005000---0.017--1.144%
2014-08-11T01:34:00ANONYMOUSManual testing7804178041---0.012--0.417%
2014-11-19T23:20:00Jocelyn LaroucheManual testing9608296082---0.015--0.480%
2015-12-24T14:55:58Squeeky_SquirrelP4_260017500046375006---0.064--2.175%
2017-05-06T16:05:25Jocelyn Larouchelow 4M35000035000006---0.079--2.296%
2022-04-08T06:41:02Jocelyn LaroucheManual testing1000000130318650---1.225--5.405%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:33Mark RoseManual testing21260--0.043--
2009-03-16T06:11:00S485122USB-A260261--0.043--
2011-06-23T22:40:00Grant McCrackenthumper261262--0.086--
2012-06-20T01:21:00GrunwalderGIMPManual testing21263--0.449--
2016-02-23T16:29:33Mark RoseManual testing262263--0.276--
2015-01-30T19:15:00VictordeHollanderManual testing263264--0.552--
2015-01-30T19:15:00VictordeHollanderManual testing264265--1.050--
2016-03-03T09:33:27ramgeisManual testing265266--2.100--
2017-01-16T05:00:23Gordon SpenceManual testing266267--4.201--
2019-02-04T14:28:15TJAOIManual testing267268--8.402--
2021-01-26T02:10:42axnManual testing268269--16.80--
2021-03-17T23:54:49-Anonymous-Manual testing269270--33.61--
2021-03-17T23:54:49-Anonymous-Manual testing270271--67.21--
2021-03-20T23:57:05-Anonymous-Manual testing271272--134.4--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.198 GHz-days
Estimated T-Level:1.700
DigitsB1CurvesCompleteFacMiss
201100034 / 1000.34071.055%
255000034 / 2800.12188.546%

New Calculation Method

Total ECM effort:5.198 GHz-days
Estimated T-Level:1.700
DigitsB1CompleteFacMiss
20110001.12132.596%
25500000.10190.405%
302500000.00699.380%


ECM Summary

B1B2factorcurvesGHz-days
500005000000223.253
50000500000050.739
50000680000071.205


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-07T00:00:00ANONYMOUSv4_computers63DE574EC73E1B__0.374


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-31T13:47:39SRJ2877LTOS
42902400108979200417241991348681
0E6DA4A10E924E34no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 130318650 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 350000, B2 = 3500000 (P-1 stage 2)
B1 = 175000, B2 = 4637500 (P-1 stage 2)
B1 = 350000 (P-1 stage 1)
B1 = 175000 (P-1 stage 1)
B1 = 60000, B2 = 1005000 (P-1 stage 2)
B1 = 96082 (P-1 stage 1)
B1 = 78041 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 20000, B2 = 245000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
103
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105
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109
1010
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104
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109
1010
1011
TF factor-bounds graph:
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271
270
269
268
267
266
265
264
263
262
261
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270
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2100
2110
Last modified: 2022-04-08T06:41:02+00:00