is 2 2910133 - 1
has 876038 decimal digits
takes 0.225 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L6D936B5A832E7096double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26710.210567.1642%1000000200000000.22796.0643%10.438469.1555%1.9913%
PrimeNet2590.026462.7119%130002600000.00303.0662%0.029463.8552%1.1433%
GPU722630.548465.0794%160003000000.00351.9102%0.552065.7464%0.6671%
Difference+4+9.6621+2.0848%+984000+19700000+0.2244+4.1541%+9.8865+3.4090%+3.4090%

Known prime factors (1 factor, 77.1 bits, 0.00265047% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
29101331656079814558339487835992477.13228453679171335803
3 × 7 × 11 × 83 × 107 × 523 × 26519351
2015-12-235232651935117,3540.16190.3022

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-02T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.304%
2009-07-03T00:43:00Carsten Kossendeyleela15000168750---0.003--0.862%
2010-12-24T02:50:00Jocelyn LaroucheManual testing2000020000---0.002--0.325%
2011-01-27T09:06:00markrtiny1050002283750---0.025--2.901%
2015-04-25T17:20:00VictordeHollanderManual testing100000020000000---0.228--6.064%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:24Mark RoseManual testing21260--0.053--
2009-02-14T20:46:00Sturle Sundedittersdorf.ifi260261--0.053--
2011-12-15T00:17:00Grant McCrackenhome261262--0.106--
2013-01-10T21:10:00dbaughManual testing262263--0.337--
2015-04-25T17:15:00VictordeHollanderManual testing263264--0.675--
2015-04-25T17:15:00VictordeHollanderManual testing264265--1.284--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.258 GHz-days
Estimated T-Level:0.600
DigitsB1CurvesCompleteFacMiss
201100012 / 1000.12088.638%
255000012 / 2800.04395.797%

New Calculation Method

Total ECM effort:1.258 GHz-days
Estimated T-Level:0.600
DigitsB1CompleteFacMiss
20110000.38767.903%
25500000.03596.562%
302500000.00299.785%


ECM Summary

B1B2factorcurvesGHz-days
50000500000090.944
50000500000030.315


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-23T00:00:00ANONYMOUSv4_computers6D936B5A832E70960.225


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:31:12alpertronManual testing
165607981455833948783599
28CE5096D57B7D__no
2017-11-18T00:29:23Oliver KruseThreadripper
165607981455833948783599
28CE5096D57B7D__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 105000, B2 = 2283750 (P-1 stage 2)
B1 = 105000 (P-1 stage 1)
B1 = 15000, B2 = 168750 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
TF factor-bounds graph:
267
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2017-11-18T00:29:23+00:00