is 2 9004057 - 1
has 2710492 decimal digits
takes 2.489 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8304B30D9B0C0DB2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2686.619864.7059%2500000720000002.51948.3818%9.139267.6642%2.9583%
PrimeNet2640.395362.5000%3600010000000.03553.3269%0.430863.7476%1.2476%
GPU722686.619864.7059%6000013000000.05112.4000%6.670965.5530%0.8471%
Difference---+2440000+70700000+2.4683+5.9818%+2.4683+2.1112%+2.1112%

Known prime factors (1 factor, 86.6 bits, 0.00096144% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
90040571147203297969089657852892012786.5686370479984573007800
23 × 3 × 52 × 7 × 37 × 149 × 8389 × 32796287
2018-03-108389327962871,898,7160.71931.3375

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers50000687500---0.034--1.961%
2012-11-04T10:56:00NesowaWork1000001725000---0.076--2.836%
2018-03-10T10:55:26mikrColor250000072000000122786.5682.5194.9775.0398.382%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-12-13T00:00:00ANONYMOUSv4_computers21261--0.034--
1998-12-21T00:00:00ANONYMOUSv4_computers21262--0.068--
1999-02-07T00:00:00ANONYMOUSv4_computers21263--0.177--
2007-03-04T00:00:00ANONYMOUSv4_computers21264--0.395--
2011-10-14T07:43:00Rob_Deetwopc264265--0.415--
2015-05-12T08:17:00VictordeHollanderManual testing265266--0.830--
2016-03-16T23:47:03snme2pm1Manual testing266267--1.660--
2016-12-20T22:55:58snme2pm1Manual testing267268--3.320--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.261 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:1.261 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.09790.776%
25500000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.261


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-02-27T00:00:00ANONYMOUSv4_computers8304B30D9B0C0DB22.489


PRP results:
dateuseridcompidcofactorsres64PRP
2019-05-18T13:25:49Niels_Mache_NextcloudSuperDry3
114720329796908965785289201
FD1A418EFA35F398no
2020-10-04T21:21:23kutensvega
114720329796908965785289201
FD1A418EFA35F398no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 72000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 100000, B2 = 1725000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 50000, B2 = 687500 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
102
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106
107
102
103
104
105
106
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108
TF factor-bounds graph:
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266
265
264
263
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261
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2100
Last modified: 2020-10-04T21:21:23+00:00