is 2 1428541 - 1
has 430034 decimal digits
takes 0.055 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L3F3AD41BCCC228A9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26720.800268.6567%2500000625000000.31947.3956%21.119670.9747%2.3180%
PrimeNet2560.006762.5000%65001100000.00072.7730%0.007463.5399%1.0399%
GPU722600.107565.0000%6000800000.00061.3034%0.108165.4562%0.4562%
Difference+7+20.6927+3.6567%+2494000+62420000+0.3188+6.0922%+21.0115+5.5185%+5.5185%

Known prime factors (1 factor, 77.2 bits, 0.00540139% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
14285411689574921509058083204472477.16159136381857750603
7 × 3779 × 2235526475551
2016-09-093779223552647555137,9506,742.912,594

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-22T00:00:00ANONYMOUSv4_computers20000275000---0.002--0.962%
2009-08-05T02:36:00markrlounge2000005000000---0.026--3.478%
2014-11-10T23:29:00Jocelyn LaroucheManual testing244930244930---0.014--1.384%
2015-01-30T21:42:00Jocelyn LaroucheManual testing404134404134---0.022--1.751%
2015-02-20T16:56:00Jocelyn LaroucheManual testing444547444547---0.025--1.826%
2015-03-01T03:15:00Jocelyn LaroucheManual testing489001489001---0.027--1.904%
2015-03-05T14:27:00Jocelyn LaroucheManual testing537901537901---0.030--1.983%
2015-03-12T10:39:00Jocelyn LaroucheManual testing591691591691---0.033--2.064%
2015-03-23T13:21:00alpertronManual testing200000060000000---0.286--7.218%
2016-08-18T03:10:15Bruno Victal5820K-factoring25000006250000012---0.319--7.396%
2016-08-27T10:53:43Bruno VictalManual testing25000006250000012---0.319--7.396%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-10-20T00:00:00ANONYMOUSv4_computers21257--0.013--
2003-07-21T00:00:00ANONYMOUSv4_computers21258--0.027--
2016-02-23T16:28:31Mark RoseManual testing258260--0.081--
2009-02-16T03:49:00Sturle Sundegobi.ifi260261--0.108--
2016-02-23T16:28:31Mark RoseManual testing261262--0.215--
2011-05-07T23:53:00GrunwalderGIMPManual testing21263--1.117--
2016-02-23T16:28:31Mark RoseManual testing262263--0.687--
2015-03-19T22:59:00snme2pm1Manual testing263264--1.374--
2015-03-19T22:59:00snme2pm1Manual testing264265--2.616--
2015-10-11T16:52:38ramgeisManual testing265266--5.231--


ECM factoring results:

Old Calculation Method

Total ECM effort:25.460 GHz-days
Estimated T-Level:25.391
DigitsB1CurvesCompleteFacMiss
2011000301 / 1003.0104.855%
2550000301 / 2801.07534.064%
3025000050 / 6400.07892.479%

New Calculation Method

Total ECM effort:25.460 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100012.2630.000%
25500001.35725.749%
302500000.11389.315%
3510000000.00899.236%


ECM Summary

B1B2factorcurvesGHz-days
50000500000024811.71
50000500000030.142
250000350000005013.61


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-07-19T16:38:00MadPooManual testing3F3AD41BCCC228A90.055


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T21:24:39Oliver KruseGTX-1
168957492150905808320447
89F3E4477C1F14__no
2017-10-26T19:11:41kkmrkkblmbrbkc4.xlarge
168957492150905808320447
89F3E4477C1F14__no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 62500000 (P-1 stage 2)
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 591691 (P-1 stage 1)
B1 = 537901 (P-1 stage 1)
B1 = 489001 (P-1 stage 1)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 444547 (P-1 stage 1)
B1 = 404134 (P-1 stage 1)
B1 = 244930 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 20000, B2 = 275000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
102
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102
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1010
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TF factor-bounds graph:
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264
263
262
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Last modified: 2021-12-28T11:11:14+00:00