is 2 3474619 - 1
has 1045965 decimal digits
takes 0.365 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-
PRPEADE7B93F7FB5A22verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26934.359768.1159%10000001266688501.19507.0000%35.554770.3478%2.2319%
PrimeNet2600.044263.3333%150003000000.00462.9567%0.048964.4174%1.0841%
GPU722641.024465.6250%190003600000.00571.8862%1.030166.2734%0.6484%
Difference+5+33.3353+2.4909%+981000+126308850+1.1893+5.1137%+34.5246+4.0744%+4.0744%

Known prime factors (1 factor, 81.8 bits, 0.00235534% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
347461943255736806392283249469292581.839622452948170609256
23 × 3 × 10488187 × 2472833437
2021-04-05104881872472833437244,55022.02838.321

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-07T04:42:00Carsten Kossendeyleela20000240000---0.005--0.812%
2011-11-12T00:08:00harleeP4_260060000990000---0.017--1.688%
2014-08-21T21:46:00Jocelyn LaroucheManual testing7847278472---0.012--0.653%
2014-09-26T18:07:00HBendtzHAL900750000010000000---0.155--4.166%
2022-04-10T23:56:43Jocelyn LaroucheManual testing1000000126668850---1.195--7.000%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:31Mark RoseManual testing21260--0.044--
2009-03-20T18:24:00S485122USB-Z260261--0.044--
2011-07-21T08:54:00Grant McCrackenthumper261262--0.088--
2012-08-18T15:36:00GrunwalderGIMPManual testing21263--0.459--
2016-02-23T16:29:30Mark RoseManual testing262263--0.283--
2015-02-07T18:04:00VictordeHollanderManual testing263264--0.565--
2015-02-07T18:04:00VictordeHollanderManual testing264265--1.075--
2016-01-05T09:38:56ramgeisManual testing265266--2.151--
2017-02-16T15:33:25Gordon SpenceManual testing266267--4.301--
2018-12-10T15:07:49TJAOIManual testing267268--8.603--
2021-01-09T15:34:21axnManual testing268269--17.21--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.502 GHz-days
Estimated T-Level:0.850
DigitsB1CurvesCompleteFacMiss
201100017 / 1000.17084.294%
255000017 / 2800.06194.099%

New Calculation Method

Total ECM effort:2.502 GHz-days
Estimated T-Level:0.850
DigitsB1CompleteFacMiss
20110000.54857.788%
25500000.05095.165%
302500000.00399.695%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.208
50000500000020.294


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-07T00:00:00ANONYMOUSv4_computers3D368C630DE3AF__0.365


PRP results:
dateuseridcompidcofactorsres64PRP
2021-04-08T10:58:13ZeroHPTouch
4325573680639228324946929
EADE7B93F7FB5A22no


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 = 78472 (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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1010
TF factor-bounds graph:
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Last modified: 2022-04-10T23:56:43+00:00