is 2 2250263 - 1
has 677397 decimal digits
takes 0.148 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L0C83B489E6DDFF01double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.204667.1642%58905058905000.08374.3765%13.288368.6012%1.4370%
PrimeNet2580.017162.0690%100001900000.00192.9163%0.019063.1751%1.1062%
GPU722620.273064.5161%110001900000.00201.6600%0.275065.1052%0.5890%
Difference+5+12.9316+2.6481%+578050+5700500+0.0817+2.7165%+13.0133+3.4961%+3.4961%

Known prime factors (1 factor, 69.1 bits, 0.00306993% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22502636245868798863556257772169.081138780862478376
23 × 3 × 5782535936599
2016-12-038578253593659984.52130,03656,099

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-04-03T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.282%
2010-10-20T15:54:00Oscar Östlin7501175011---0.007--0.783%
2011-01-14T14:58:00Oscar Östlin850001636250---0.016--2.478%
2014-06-01T23:28:00Jocelyn LaroucheManual testing113523113523---0.011--0.999%
2014-10-03T21:04:00Jocelyn LaroucheManual testing142046142046---0.014--1.130%
2016-01-17T15:05:41Jocelyn LaroucheManual testing58905058905006---0.084--4.376%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:10Mark RoseManual testing21260--0.068--
2009-01-11T09:33:00Sturle Sundewright.ifi260261--0.068--
2012-05-04T09:48:00Sebastian HornbostelManual testing261262--0.137--
2013-01-23T08:24:00dbaughManual testing262263--0.436--
2015-03-10T10:44:00VictordeHollanderManual testing263264--0.872--
2015-03-10T10:44:00VictordeHollanderManual testing264265--1.660--
2015-10-27T09:37:31ramgeisManual testing265266--3.321--
2017-01-05T21:20:48Gordon SpenceManual testing266267--6.642--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.233 GHz-days
Estimated T-Level:1.300
DigitsB1CurvesCompleteFacMiss
201100026 / 1000.26077.004%
255000026 / 2800.09391.117%

New Calculation Method

Total ECM effort:2.233 GHz-days
Estimated T-Level:1.300
DigitsB1CompleteFacMiss
20110001.00036.788%
25500000.09391.162%
302500000.00699.418%


ECM Summary

B1B2factorcurvesGHz-days
500005000000242.061
50000500000020.172


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02T00:00:00ANONYMOUSv4_computers0C83B489E6DDFF010.148


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-10T17:54:41Oliver KruseGTX-3
624586879886355625777
E133857DA7ECE3__no
2017-11-20T21:53:02ATHec2-1xf
624586879886355625777
E133857DA7ECE3__no


P-1 factor-bounds graph:
B1 = 589050, B2 = 5890500 (P-1 stage 2)
B1 = 589050 (P-1 stage 1)
B1 = 85000, B2 = 1636250 (P-1 stage 2)
B1 = 142046 (P-1 stage 1)
B1 = 113523 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2017-11-20T21:53:02+00:00