is 2 289181 - 1
has 87053 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L766FF09583AF9BA2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267102.752071.6418%120000005000000000.38239.6743%103.134374.3852%2.7435%
PrimeNet2400.000052.5000%3000800000.000115.0784%0.000159.6622%7.1622%
GPU722440.000056.8182%50001300000.000110.8911%0.000161.5212%4.7030%
Difference+23+102.7520+14.8236%+11995000+499870000+0.3822-1.2169%+103.1342+12.8641%+12.8641%

Known prime factors (2 factors, 168.6 bits, 0.05829742% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
28918118006313031653640824350072580.5753113329200682901163
3 × 17 × 74099 × 823839331187
2020-11-05740998238393311871,122,231444.74830.64
2891813116978313573304905850035292788.010538932072572766693844
22 × 134733018143191673461
2012-09-064134733018143191673461264,816,4957.273e+101.358e+11

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
28918156125287227076788574309064575432530325775600813970
3
51168.585
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-20T00:00:00ANONYMOUSv4_computers1000004000000---0.003--2.295%
2001-07-07T00:00:00ANONYMOUSv4_computers10000010000000---0.006--2.772%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.594%
2002-08-17T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.286%
2003-03-16T00:00:00ANONYMOUSv4_computers13107213107200---0.008--3.107%
2003-12-02T00:00:00ANONYMOUSv4_computers26214426214400---0.017--4.043%
2006-01-15T00:00:00Jocelyn Larouchev4_computers289181289181---0.003--1.155%
2011-07-26T07:33:00Jocelyn LaroucheManual testing16598821659882---0.016--2.476%
2012-08-10T07:18:00markrManual testing12000000500000000---0.382--9.674%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-05-05T00:00:00ANONYMOUSv4_computers21254--0.008--
2022-03-07T06:11:46LordJuliusManual testing254255--0.008--
2001-02-25T00:00:00ANONYMOUSv4_computers21256--0.033--
2002-03-03T00:00:00ANONYMOUSv4_computers21257--0.066--
2004-02-07T00:00:00ANONYMOUSv4_computers21258--0.133--
2009-01-05T16:43:00Sturle Sundeagrell.ifi258259--0.133--
2009-01-26T21:12:00Sturle Sundeghibu.ifi259260--0.266--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.138 GHz-days
Estimated T-Level:26.297
DigitsB1CurvesCompleteFacMiss
2011000448 / 1004.4801.108%
2550000448 / 2801.60020.132%
30250000166 / 6400.25977.138%

New Calculation Method

Total ECM effort:8.138 GHz-days
Estimated T-Level:26.297
DigitsB1CompleteFacMiss
201100022.9300.000%
25500002.8225.948%
302500000.26676.606%
3510000000.02097.993%
4030000000.00199.871%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002822.064
250000250000001635.964
2500002500000030.110


Lucas-Lehmer results:
No L-L results for M289181


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T12:52:55Oliver KruseOllaptop
311697831357330490585003529
696DEA736F66BC__no
2017-09-22T20:36:32Oliver KruseManual testing
311697831357330490585003529
696DEA736F66BC__no
2017-10-12T19:59:42Oliver KruseGTX-1696DEA736F66BC__no
2017-11-06T21:03:24kkmrkkblmbrbkc4.xlarge
311697831357330490585003529
696DEA736F66BC__no
2020-04-17T22:11:18Oliver KruseAddPrpType5
311697831357330490585003529
115F042B3A1615__no
2020-11-05T14:15:49mnd9vv
1800631303165364082435007
311697831357330490585003529
115F042B3A1615A8no
2020-11-07T00:22:24LordJuliusBabybox
1800631303165364082435007
311697831357330490585003529
115F042B3A1615A8no


P-1 factor-bounds graph:
B1 = 12000000, B2 = 500000000 (P-1 stage 2)
B1 = 12000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1659882 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 289181 (P-1 stage 1)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-11T07:58:24+00:00