is 2 3486097 - 1
has 1049420 decimal digits
takes 0.366 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP621579DBAB0C225Bverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26934.246568.1159%10000001266688501.19507.0024%35.441570.3486%2.2327%
PrimeNet2600.044163.3333%150003000000.00462.9584%0.048764.4181%1.0847%
GPU722641.021065.6250%190003600000.00571.8874%1.026766.2738%0.6488%
Difference+5+33.2255+2.4909%+981000+126308850+1.1893+5.1151%+34.4148+4.0748%+4.0748%

Known prime factors (1 factor, 81.9 bits, 0.00234809% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
348609743789724475950211291334312581.857628062335556787595
5 × 751 × 2143667 × 78025307
2021-04-12214366778025307161,6150.95611.2091

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-07T17:48:00Carsten Kossendeyleela20000240000---0.005--0.813%
2011-11-15T05:10:00harleeP4_260060000990000---0.017--1.689%
2014-08-21T21:46:00Jocelyn LaroucheManual testing7841178411---0.012--0.653%
2014-09-29T17:40:00HBendtzHAL900750000010000000---0.155--4.168%
2022-04-10T23:56:44Jocelyn LaroucheManual testing1000000126668850---1.195--7.002%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:31Mark RoseManual testing21260--0.044--
2009-03-19T18:07:00S485122USB-A260261--0.044--
2011-07-15T12:06:00markroldgamer261262--0.088--
2012-08-18T15:36:00GrunwalderGIMPManual testing21263--0.458--
2016-02-23T16:29:31Mark RoseManual testing262263--0.282--
2015-02-07T18:05:00VictordeHollanderManual testing263264--0.563--
2015-02-07T18:05:00VictordeHollanderManual testing264265--1.072--
2016-01-06T22:34:23ramgeisManual testing265266--2.144--
2017-02-18T19:55:10Gordon SpenceManual testing266267--4.287--
2018-10-01T11:53:16TJAOIManual testing267268--8.574--
2021-01-11T17:48:16axnManual testing268269--17.15--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.504 GHz-days
Estimated T-Level:0.850
DigitsB1CurvesCompleteFacMiss
201100017 / 1000.17084.294%
255000017 / 2800.06194.099%

New Calculation Method

Total ECM effort:2.504 GHz-days
Estimated T-Level:0.850
DigitsB1CompleteFacMiss
20110000.54857.788%
25500000.05095.165%
302500000.00399.695%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.209
50000500000020.295


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-12T00:00:00ANONYMOUSv4_computersAEC80CAF7C8558__0.366


PRP results:
dateuseridcompidcofactorsres64PRP
2021-04-28T15:03:54Luigi Morelli9800
4378972447595021129133431
621579DBAB0C225Bno


P-1 factor-bounds graph:
B1 = 1000000, B2 = 126668850 (P-1 stage 2)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 60000, B2 = 990000 (P-1 stage 2)
B1 = 78411 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 20000, B2 = 240000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-10T23:56:44+00:00