is 2 3482021 - 1
has 1048193 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-LD22D8704214C0278double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.117967.6471%10964041146568501.10927.5996%18.227170.1058%2.4587%
PrimeNet2600.044163.3333%150003000000.00462.9578%0.048864.4178%1.0845%
GPU722641.022265.6250%190003600000.00571.8870%1.027966.2737%0.6487%
Difference+4+16.0957+2.0221%+1077404+114296850+1.1035+5.7127%+17.1992+3.8321%+3.8321%

Known prime factors (1 factor, 80.5 bits, 0.00231162% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
348202116991844108439780335425692580.491243993992403259204
22 × 17 × 3588146947106753
2017-01-13173588146947106753135,22729,771,55355,604,970

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2014-09-28T15:46:00HBendtzHAL900750000010000000---0.155--4.598%
2021-02-18T11:47:31Jocelyn LaroucheManual testing34820238302236---0.082--3.586%
2022-01-25T03:35:34Jocelyn LaroucheManual testing1096404114656850---1.109--7.600%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:31Mark RoseManual testing21261--0.088--
2011-07-19T07:11:00markroldgamer261262--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--0.564--
2015-02-07T18:05:00VictordeHollanderManual testing264265--1.073--
2021-02-24T21:45:56Jocelyn LaroucheManual testing265266--2.146--
2016-01-05T09:38:58ramgeisManual testing265266--2.146--
2022-06-03T00:52:08LordJuliusManual testing266267--4.292--
2021-06-13T12:36:30Jocelyn LaroucheManual testing267268--8.584--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.620 GHz-days
Estimated T-Level:0.550
DigitsB1CurvesCompleteFacMiss
201100011 / 1000.11089.534%
255000011 / 2800.03996.141%

New Calculation Method

Total ECM effort:1.620 GHz-days
Estimated T-Level:0.550
DigitsB1CompleteFacMiss
20110000.42365.503%
25500000.03996.161%
302500000.00299.753%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.325
50000500000020.295


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-07T00:00:00lozcsv4_computersD22D8704214C02780.366
2000-03-08T00:00:00lozcsv4_computersD22D8704214C02780.366


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-06T23:33:54kkmrkkblmbrbkc4.xlarge
1699184410843978033542569
774D720BEE3D8B__no
2017-11-23T16:21:44Oliver KruseGTX-1
1699184410843978033542569
774D720BEE3D8B__no


P-1 factor-bounds graph:
B1 = 1096404, B2 = 114656850 (P-1 stage 2)
B1 = 1096404 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 348202, B2 = 3830223 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 348202 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-06-03T00:52:08+00:00