is 2 266291 - 1
has 80162 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-L9FDE4F257691BEB0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267111.584471.6418%2000000018200000001.169911.6698%112.754374.9511%3.3094%
PrimeNet2400.000052.5000%2800700000.000114.4512%0.000159.3643%6.8643%
GPU722440.000056.8182%50001200000.000110.5900%0.000161.3911%4.5729%
Difference+23+111.5844+14.8236%+19995000+1819880000+1.1698+1.0799%+112.7541+13.5600%+13.5600%

Known prime factors (1 factor, 96.4 bits, 0.03620570% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2662911054534644552594269690740857293096.413198004184248171036514704
24 × 233 × 653 × 7833737 × 10382843213
2015-12-017833737103828432131.065e+115.678410.469

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-03-17T00:00:00ANONYMOUSv4_computers950003800000---0.003--2.214%
2001-06-23T00:00:00ANONYMOUSv4_computers10000010000000---0.006--2.738%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.570%
2002-08-10T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.256%
2003-03-07T00:00:00ANONYMOUSv4_computers13107213107200---0.008--3.070%
2003-11-16T00:00:00ANONYMOUSv4_computers26214426214400---0.017--4.000%
2006-01-15T00:00:00Jocelyn Larouchev4_computers266291266291---0.003--1.092%
2011-02-15T01:37:00Jocelyn LaroucheManual testing20000002000000---0.020--2.623%
2012-02-26T15:18:00Jocelyn LaroucheManual testing23089932308993---0.023--2.761%
2013-10-14T18:30:00David Campeaui5-2500k244500068460000---0.060--6.294%
2021-06-30T04:26:44George WoltmanManual testing200000001820000000---1.170--11.670%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-06-30T04:26:44George WoltmanManual testing1000000083000000027--0.506


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.009--
2022-03-07T05:52:45LordJuliusManual testing254255--0.009--
2001-02-18T00:00:00ANONYMOUSv4_computers21256--0.036--
2002-03-31T00:00:00ANONYMOUSv4_computers21257--0.072--
2004-02-14T00:00:00ANONYMOUSv4_computers21258--0.144--
2008-12-31T23:26:00Sturle Sundekinner.ifi258259--0.144--
2009-01-24T17:12:00Sturle Sundegollumilla.ifi259260--0.288--
2013-07-09T09:56:00lycornasteroid260261--0.577--
2015-08-25T13:23:00NRManual testing261262--1.154--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.748 GHz-days
Estimated T-Level:26.438
DigitsB1CurvesCompleteFacMiss
2011000463 / 1004.6300.953%
2550000463 / 2801.65419.080%
30250000184 / 6400.28874.997%

New Calculation Method

Total ECM effort:8.748 GHz-days
Estimated T-Level:26.438
DigitsB1CompleteFacMiss
201100024.3330.000%
25500003.0304.830%
302500000.28974.874%
3510000000.02297.804%
4030000000.00199.858%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002792.036
250000250000001816.603
2500002500000030.109


Lucas-Lehmer results:
No L-L results for M266291


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T09:13:54Oliver KruseOllaptop
105453464455259426969074085729
C23B040840586C__no
2017-09-22T10:07:15Oliver KruseManual testing
105453464455259426969074085729
C23B040840586C__no
2017-10-12T18:00:44Oliver KruseGTX-1C23B040840586C__no
2017-11-06T16:40:40kkmrkkblmbrbkc4.xlarge
105453464455259426969074085729
C23B040840586C__no
2020-04-17T21:11:08Oliver KruseAddPrpType5
105453464455259426969074085729
13DB4028DBC233__no


P-1 factor-bounds graph:
B1 = 20000000, B2 = 1820000000 (P-1 stage 2)
B1 = 20000000 (P-1 stage 1)
B1 = 2445000, B2 = 68460000 (P-1 stage 2)
B1 = 2445000 (P-1 stage 1)
B1 = 2308993 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
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 = 95000, B2 = 3800000 (P-1 stage 2)
B1 = 266291 (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 = 95000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
267
262
261
260
259
258
257
256
255
254
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2100
Last modified: 2022-04-11T19:20:15+00:00