is 2 2165039 - 1
has 651742 decimal digits
takes 0.142 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8D9ABBAD7352B578double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.724467.1642%25000001250000000.87468.5915%14.599169.9853%2.8211%
PrimeNet2580.017762.0690%100001800000.00182.8546%0.019663.1518%1.0828%
GPU722620.283864.5161%100001600000.00171.5200%0.285565.0555%0.5393%
Difference+5+13.4407+2.6481%+2490000+124840000+0.8729+7.0715%+14.3136+4.9298%+4.9298%

Known prime factors (1 factor, 73.2 bits, 0.00338135% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2165039109066218450309965404092373.2082518804937239236
22 × 32 × 4561 × 15340233241
2018-08-104561153402332411,154.379.681148.82

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.279%
2010-11-04T10:39:00Jocelyn LaroucheManual testing1500015000---0.001--0.238%
2010-11-07T12:40:00Jocelyn LaroucheManual testing3000030000---0.003--0.417%
2011-01-15T02:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.599%
2011-01-22T03:16:00markrtiny1200002370000---0.023--2.869%
2014-10-05T22:22:00Jocelyn LaroucheManual testing149646149646---0.014--1.155%
2016-03-04T02:35:05Jocelyn LaroucheManual testing22446840404246---0.041--3.576%
2017-09-05T23:15:04Jocelyn Larouchelow 4M44893644893606---0.064--3.988%
2018-01-03T06:58:25mikrMSI250000012500000012---0.875--8.591%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:07Mark RoseManual testing258260--0.053--
2009-01-04T09:04:00Sturle Sundemorovan.ifi260261--0.071--
2009-01-06T22:34:00Sturle Sundehomilius.ifi261262--0.142--
2013-09-08T17:50:00ramgeisManual testing262263--0.453--
2015-03-25T10:09:00VictordeHollanderManual testing263264--0.907--
2015-03-25T10:09:00VictordeHollanderManual testing264265--1.726--
2015-12-30T18:01:38ramgeisManual testing265266--3.452--
2016-11-11T01:20:36Gordon SpenceManual testing266267--6.903--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.332 GHz-days
Estimated T-Level:1.950
DigitsB1CurvesCompleteFacMiss
201100039 / 1000.39067.573%
255000039 / 2800.13986.976%

New Calculation Method

Total ECM effort:3.332 GHz-days
Estimated T-Level:1.950
DigitsB1CompleteFacMiss
20110001.25828.420%
25500000.11489.252%
302500000.00799.302%


ECM Summary

B1B2factorcurvesGHz-days
500005000000363.075
50000500000030.256


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computers8D9ABBAD7352B5780.142
2018-04-11T07:09:04kkmrkkblmbrbkold8D9ABBAD7352B5780.142


PRP results:
dateuseridcompidcofactorsres64PRP
2018-08-12T02:16:28Chang Chia-Tchehomura
10906621845030996540409
68EBBEC46DB463__no
2018-08-13T10:12:50arnaudstm-11-010
10906621845030996540409
68EBBEC46DB463__no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 448936, B2 = 4489360 (P-1 stage 2)
B1 = 448936 (P-1 stage 1)
B1 = 224468, B2 = 4040424 (P-1 stage 2)
B1 = 120000, B2 = 2370000 (P-1 stage 2)
B1 = 224468 (P-1 stage 1)
B1 = 149646 (P-1 stage 1)
B1 = 120000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
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102
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1010
1011
TF factor-bounds graph:
267
266
265
264
263
262
261
260
258
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260
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2100
Last modified: 2018-08-13T10:12:50+00:00