is 2 289381 - 1
has 87113 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-L20005371A39F94ACdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267102.681071.6418%262144262144000.01664.0438%102.697672.7885%1.1468%
PrimeNet2400.000052.5000%3000800000.000115.0798%0.000159.6629%7.1629%
GPU722440.000056.8182%55001400000.000111.1848%0.000161.6480%4.8298%
Difference+23+102.6809+14.8236%+256644+26074400+0.0165-7.1410%+102.6974+11.1406%+11.1406%

Known prime factors (1 factor, 104.4 bits, 0.03609258% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2893812761223140713833724833298137872932104.44547709129844631018014888644
22 × 32 × 7 × 941 × 1597 × 2633 × 556891 × 85918237
2010-05-17556891859182374.477e+110.05160.0866

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-20T00:00:00ANONYMOUSv4_computers1000004000000---0.003--2.296%
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--4.044%
2006-01-15T00:00:00Jocelyn Larouchev4_computers289381289381---0.003--1.156%


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--
2009-01-05T18:14:00Sturle Sundeagrell.ifi258259--0.133--
2009-01-26T23:52:00Sturle Sundeghibu.ifi259260--0.265--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.576 GHz-days
Estimated T-Level:26.375
DigitsB1CurvesCompleteFacMiss
2011000457 / 1004.5701.012%
2550000457 / 2801.63219.494%
30250000176 / 6400.27575.941%

New Calculation Method

Total ECM effort:8.576 GHz-days
Estimated T-Level:26.375
DigitsB1CompleteFacMiss
201100026.9350.000%
25500003.4973.029%
302500000.33971.252%
3510000000.02697.401%
4030000000.00299.830%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002812.056
250000250000001625.928
2500003650000070.296
2500003675000070.296


Lucas-Lehmer results:
No L-L results for M289381


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T12:55:04Oliver KruseOllaptop
27612231407138337248332981378729
C01169D6701908__no
2017-09-22T20:36:33Oliver KruseManual testing
27612231407138337248332981378729
C01169D6701908__no
2017-10-12T20:02:15Oliver KruseGTX-1C01169D6701908__no
2017-11-06T21:11:10kkmrkkblmbrbkc4.xlarge
27612231407138337248332981378729
C01169D6701908__no
2020-04-17T22:14:32Oliver KruseAddPrpType5
27612231407138337248332981378729
8805DDCCA7DF3C__no


P-1 factor-bounds graph:
B1 = 262144, B2 = 26214400 (P-1 stage 2)
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 = 289381 (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)
103
104
105
106
103
104
105
106
107
108
TF factor-bounds graph:
267
260
259
258
257
256
255
254
253
250
260
270
280
290
2100
2110
Last modified: 2022-06-19T21:58:44+00:00