is 2 2064529 - 1
has 621486 decimal digits
takes 0.136 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L71430D9646A7283Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.392668.6567%182697140940000.08974.4034%14.482370.0369%1.3802%
PrimeNet2580.018663.7931%90001600000.00162.6692%0.020264.7595%0.9664%
GPU722620.297666.1290%90001300000.00151.3656%0.299166.5916%0.4625%
Difference+5+14.0950+2.5277%+173697+13964000+0.0882+3.0378%+14.1832+3.4453%+3.4453%

Known prime factors (2 factors, 148.0 bits, 0.00716911% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
206452931286470695930175501692271.406757714488290796
22 × 3 × 2751461 × 22948853
2022-06-16275146122948853233.370.36720.5339
20645291147067247374150660602972476.60227780361704150212
22 × 229 × 401 × 9013 × 8391289
2016-09-309013839128911,9890.04440.0814

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
206452935887685821232654195768129860828162537654019345148.008
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-24T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.275%
2009-07-23T22:52:00harleeP4_260020000260000---0.003--1.017%
2010-12-26T02:29:00Jocelyn LaroucheManual testing3000030000---0.003--0.413%
2011-01-06T23:25:00Jocelyn LaroucheManual testing5000050000---0.005--0.594%
2011-01-20T17:53:00James Heinrichi7-9201350002936250---0.027--3.055%
2014-10-28T23:25:00Jocelyn LaroucheManual testing166089166089---0.016--1.210%
2016-07-07T00:37:25Jocelyn LaroucheManual testing182697587250012---0.047--3.727%
2016-09-30T05:48:23Jocelyn Larouchelow 4M18269714094000122476.6020.0900.2710.1794.403%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-07-26T00:00:00ANONYMOUSv4_computers21258--0.019--
2016-02-23T16:29:04Mark RoseManual testing258260--0.056--
2009-01-02T22:22:00Sturle Sundegraun.ifi260261--0.074--
2012-03-14T11:47:00Sebastian HornbostelManual testing261262--0.149--
2013-09-01T20:20:00ramgeisManual testing262263--0.475--
2015-03-28T18:03:00VictordeHollanderManual testing263264--0.951--
2015-03-28T18:03:00VictordeHollanderManual testing264265--1.810--
2015-11-03T10:10:04ramgeisManual testing265266--3.620--
2016-09-03T01:27:01Gordon SpenceManual testing266267--7.239--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.163 GHz-days
Estimated T-Level:1.800
DigitsB1CurvesCompleteFacMiss
201100036 / 1000.36069.641%
255000036 / 2800.12987.915%

New Calculation Method

Total ECM effort:3.163 GHz-days
Estimated T-Level:1.800
DigitsB1CompleteFacMiss
20110001.41324.330%
25500000.13187.754%
302500000.00899.177%


ECM Summary

B1B2factorcurvesGHz-days
500005000000272.293
50000667211770.675
50000685000020.195


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-11-14T02:20:10MadPooManual testing71430D9646A7283E0.136


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-06T11:52:05Oliver KruseGTX-0
114706724737415066060297
F52A2EB239F196__no
2017-11-16T01:38:15kkmrkkblmbrbkc4.xlarge
114706724737415066060297
F52A2EB239F196__no
2022-06-21T00:54:46some-studentsGIMPS_IN_SHANGHAI
3128647069593017550169
114706724737415066060297
DD0B07CB077E1622no


P-1 factor-bounds graph:
B1 = 182697, B2 = 14094000 (P-1 stage 2)
B1 = 182697, B2 = 5872500 (P-1 stage 2)
B1 = 135000, B2 = 2936250 (P-1 stage 2)
B1 = 182697 (P-1 stage 1)
B1 = 166089 (P-1 stage 1)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
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105
106
107
102
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104
105
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108
TF factor-bounds graph:
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265
264
263
262
261
260
258
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260
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2100
Last modified: 2022-07-05T09:52:37+00:00