is 2 3288953 - 1
has 990074 decimal digits
takes 0.345 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-
PRPBE8863F3F64E88C9verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.122867.6471%50000001000000001.54978.3702%19.672470.3551%2.7080%
PrimeNet2600.046763.3333%140002600000.00422.7768%0.050964.3515%1.0181%
GPU722641.082265.6250%170002800000.00481.6882%1.087066.2053%0.5803%
Difference+4+17.0405+2.0221%+4983000+99720000+1.5449+6.6820%+18.5855+4.1498%+4.1498%

Known prime factors (1 factor, 84.2 bits, 0.00255964% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3288953219943519223966196750064812684.1853343670755160779080
23 × 32 × 5 × 412 × 47 × 117558878579
2021-03-3116811175588785791,577,980975.411,821.8

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-09T19:18:00Carsten Kossendeydurandal15000191250---0.004--0.787%
2011-09-25T16:29:00harleeP4_2600600001065000---0.017--1.939%
2014-06-26T21:22:00ANONYMOUSManual testing7951579515---0.012--0.754%
2014-10-10T20:28:00Jocelyn LaroucheManual testing9903099030---0.015--0.861%
2016-01-28T01:44:16Jocelyn LaroucheManual testing38340038340006---0.087--3.600%
2021-04-01T03:35:16riccardo ubertiColab_noGPU14500000010000000012---1.550--8.370%
2022-03-24T08:47:00Jocelyn LaroucheManual testing1000000134316000---1.258--7.652%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-24T00:00:00ANONYMOUSv4_computers21260--0.047--
2009-04-02T04:52:00S485122USB-Z260261--0.047--
2011-10-04T02:42:00Grant McCrackenthumper261262--0.093--
2012-12-30T00:06:00dbaughManual testing262263--0.298--
2015-02-07T18:05:00VictordeHollanderManual testing263264--0.597--
2015-02-07T18:05:00VictordeHollanderManual testing264265--1.136--
2015-06-29T20:47:00ThaManual testing265266--2.272--
2017-04-07T14:00:46Gordon SpenceManual testing266267--4.544--
2018-11-19T15:52:50TJAOIManual testing267268--9.088--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.986 GHz-days
Estimated T-Level:1.600
DigitsB1CurvesCompleteFacMiss
201100032 / 1000.32072.498%
255000032 / 2800.11489.182%

New Calculation Method

Total ECM effort:4.986 GHz-days
Estimated T-Level:1.600
DigitsB1CompleteFacMiss
20110001.07234.231%
25500000.09790.775%
302500000.00699.404%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.185
50000500000030.437
50000675000071.180
50000680000071.184


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-26T00:00:00ANONYMOUSv4_computers451C4A8473D505__0.345


PRP results:
dateuseridcompidcofactorsres64PRP
2021-04-01T20:43:16Joe S.6700k
21994351922396619675006481
BE8863F3F64E88C9no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 134316000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 383400, B2 = 3834000 (P-1 stage 2)
B1 = 383400 (P-1 stage 1)
B1 = 60000, B2 = 1065000 (P-1 stage 2)
B1 = 99030 (P-1 stage 1)
B1 = 79515 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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102
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1010
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TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
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2100
Last modified: 2022-03-24T08:47:00+00:00