is 2 2123423 - 1
has 639215 decimal digits
takes 0.140 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L00983AB2D93E4239double-checked
PRPC1F2DAE0CC0A8B15verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26956.223768.1159%25000001250000000.87467.2818%57.098470.4377%2.3217%
PrimeNet2580.018162.0690%90001600000.00162.6834%0.019763.0868%1.0178%
GPU722620.289364.5161%100001400000.00161.4546%0.291065.0323%0.5161%
Difference+7+55.9344+3.5998%+2490000+124860000+0.8730+5.8272%+56.8074+5.4054%+5.4054%

Known prime factors (1 factor, 84.5 bits, 0.00398065% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2123423278510259419398904883604732684.5266558049418778050932
22 × 28674103 × 57177459211
2021-12-1028674103571774592112,416,964299.58554.70

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-08-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.180%
2009-08-03T15:38:00harleeP4_260020000265000---0.003--0.759%
2011-01-01T00:56:00Jocelyn LaroucheManual testing3000030000---0.003--0.298%
2011-01-11T22:55:00Jocelyn LaroucheManual testing5000050000---0.005--0.437%
2011-01-24T12:57:00James Heinrichi7-9201400003045000---0.028--2.476%
2016-06-26T03:50:54Jocelyn LaroucheManual testing210000609000012---0.051--3.107%
2017-08-19T15:19:13Jocelyn Larouchelow 4M42000042000006---0.060--3.163%
2017-08-30T00:32:08Jocelyn Larouchelow 4M50400050400006---0.072--3.373%
2017-08-30T07:45:20mikrMSI250000012500000012---0.875--7.282%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-17T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:05Mark RoseManual testing258260--0.054--
2009-01-03T10:02:00Sturle Sundewright.ifi260261--0.072--
2012-04-02T20:48:00Sebastian HornbostelManual testing261262--0.145--
2013-09-06T08:32:00ramgeisManual testing262263--0.462--
2015-03-15T12:13:00VictordeHollanderManual testing263264--0.925--
2015-03-15T12:13:00VictordeHollanderManual testing264265--1.760--
2015-10-26T20:11:49omylistManual testing265266--3.519--
2016-10-15T17:13:26Gordon SpenceManual testing266267--7.038--
2019-05-06T12:23:36TJAOIManual testing267268--14.08--
2021-08-19T12:31:05TJAOIManual testing268269--28.15--


ECM factoring results:

Old Calculation Method

Total ECM effort:16.267 GHz-days
Estimated T-Level:23.339
DigitsB1CurvesCompleteFacMiss
2011000187 / 1001.87015.268%
2550000187 / 2800.66851.219%

New Calculation Method

Total ECM effort:16.267 GHz-days
Estimated T-Level:23.339
DigitsB1CompleteFacMiss
20110006.0870.227%
25500000.55257.586%
302500000.03496.649%
3510000000.00299.843%


ECM Summary

B1B2factorcurvesGHz-days
50000500000017014.49
50000500000020.170
500006750000141.364
766202417689010.246


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29T00:00:00ANONYMOUSv4_computers00983AB2D93E42390.140
2018-04-04T17:54:05kkmrkkblmbrbkold00983AB2D93E42390.140


PRP results:
dateuseridcompidcofactorsres64PRP
2021-12-10T05:23:44SRJ2877LTOS
27851025941939890488360473
C1F2DAE0CC0A8B15no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 504000, B2 = 5040000 (P-1 stage 2)
B1 = 420000, B2 = 4200000 (P-1 stage 2)
B1 = 210000, B2 = 6090000 (P-1 stage 2)
B1 = 504000 (P-1 stage 1)
B1 = 420000 (P-1 stage 1)
B1 = 140000, B2 = 3045000 (P-1 stage 2)
B1 = 210000 (P-1 stage 1)
B1 = 140000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 265000 (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)
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TF factor-bounds graph:
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Last modified: 2021-12-10T05:23:44+00:00