is 2 2665669 - 1
has 802447 decimal digits
takes 0.206 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L601D9723885D2791double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26711.146967.1642%2000000600000000.57797.6976%11.724869.6917%2.5276%
PrimeNet2590.028862.7119%110002000000.00242.7073%0.031263.7214%1.0095%
GPU722630.598765.0794%130002200000.00271.6206%0.601465.6453%0.5659%
Difference+4+10.5482+2.0848%+1987000+59780000+0.5752+6.0770%+11.1233+4.0465%+4.0465%

Known prime factors (1 factor, 67.8 bits, 0.00254237% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
26656692518369091537120255292167.77147237093043756
22 × 3 × 7 × 11 × 51122395069
2018-05-24115112239506920.118311.93582.60

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-06-09T00:00:00Richard B. Woodsv4_computers500014000---0.001--0.188%
2004-07-26T00:00:00Richard B. Woodsv4_computers2500025000---0.003--0.380%
2004-07-26T00:00:00Richard B. Woodsv4_computers7500075000---0.008--0.809%
2004-12-13T00:00:00Richard B. Woodsv4_computers125000125000---0.014--1.087%
2007-05-28T00:00:00Richard B. Woodsv4_computers10750001075000---0.120--2.845%
2013-11-06T14:57:00David Campeaui5-2500k121500038880000---0.366--6.872%
2019-07-04T12:48:05alpertronManual testing20000006000000012---0.578--7.698%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-14T00:00:00ANONYMOUSv4_computers21259--0.029--
2006-12-18T00:00:00Richard B. Woodsv4_computers21262--0.230--
2013-01-23T08:31:00dbaughManual testing262263--0.368--
2015-02-23T17:25:00VictordeHollanderManual testing263264--0.737--
2015-02-23T17:25:00VictordeHollanderManual testing264265--1.402--
2016-01-25T14:29:34ramgeisManual testing265266--2.803--
2017-09-08T08:21:19Gordon SpenceManual testing266267--5.607--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.998 GHz-days
Estimated T-Level:1.450
DigitsB1CurvesCompleteFacMiss
201100029 / 1000.29074.717%
255000029 / 2800.10490.144%

New Calculation Method

Total ECM effort:2.998 GHz-days
Estimated T-Level:1.450
DigitsB1CompleteFacMiss
20110000.93539.240%
25500000.08591.893%
302500000.00599.481%


ECM Summary

B1B2factorcurvesGHz-days
500005000000272.791
50000500000020.207


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-11T00:00:00ANONYMOUSv4_computers601D9723885D27910.206
1999-05-02T00:00:00ANONYMOUSv4_computers601D9723885D27910.206


PRP results:
dateuseridcompidcofactorsres64PRP
2018-05-24T21:55:47ATHec2-PRPCF
251836909153712025529
67577C48CDABC3__no
2018-05-25T13:02:37kkmrkkblmbrbkc4.xlarge
251836909153712025529
67577C48CDABC3__no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 1215000, B2 = 38880000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1215000 (P-1 stage 1)
B1 = 1075000 (P-1 stage 1)
B1 = 125000 (P-1 stage 1)
B1 = 75000 (P-1 stage 1)
B1 = 25000 (P-1 stage 1)
B1 = 5000, B2 = 14000 (P-1 stage 2)
B1 = 5000 (P-1 stage 1)
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TF factor-bounds graph:
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266
265
264
263
262
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2100
Last modified: 2019-07-04T12:48:05+00:00