is 2 3434603 - 1
has 1033919 decimal digits
takes 0.361 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-
PRPC9219260990A64FBverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26934.760068.1159%10000001266688501.19506.9913%35.955070.3450%2.2291%
PrimeNet2600.044763.3333%150002800000.00452.8991%0.049264.3963%1.0630%
GPU722641.036365.6250%190003400000.00561.8532%1.041966.2620%0.6370%
Difference+5+33.7237+2.4909%+981000+126328850+1.1894+5.1380%+34.9131+4.0830%+4.0830%

Known prime factors (1 factor, 74.1 bits, 0.00215829% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3434603206521928708209163181132374.1293006489086339952
24 × 3 × 31 × 163 × 12395644033
2021-03-22163123956440331,666.6102.85192.09

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T10:55:00Carsten Kossendeyleela15000210000---0.004--0.699%
2011-11-01T21:14:00harleeP4_260060000945000---0.016--1.664%
2014-07-18T01:20:00Jocelyn LaroucheManual testing7868778687---0.012--0.653%
2014-09-16T04:14:00HBendtzHAL900750000010000000---0.155--4.160%
2022-04-10T15:21:32Jocelyn LaroucheManual testing1000000126668850---1.195--6.991%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:29Mark RoseManual testing21260--0.045--
2009-03-22T10:38:00S485122USB-Z260261--0.045--
2011-08-06T17:12:00markroldgamer261262--0.089--
2012-08-18T15:33:00GrunwalderGIMPManual testing21263--0.465--
2016-02-23T16:29:29Mark RoseManual testing262263--0.286--
2015-02-07T18:04:00VictordeHollanderManual testing263264--0.572--
2015-02-07T18:04:00VictordeHollanderManual testing264265--1.088--
2015-04-13T08:56:00Gordon SpenceManual testing265266--2.176--
2017-02-05T22:59:57Gordon SpenceManual testing266267--4.351--
2018-09-17T14:42:51TJAOIManual testing267268--8.703--
2021-01-01T13:01:20axnManual testing268269--17.41--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.937 GHz-days
Estimated T-Level:1.000
DigitsB1CurvesCompleteFacMiss
201100020 / 1000.20081.791%
255000020 / 2800.07193.094%

New Calculation Method

Total ECM effort:2.937 GHz-days
Estimated T-Level:1.000
DigitsB1CompleteFacMiss
20110000.76946.337%
25500000.07193.130%
302500000.00499.552%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.203
50000500000050.734


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-10-21T00:00:00ANONYMOUSv4_computers50755A802A63F4__0.361


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-25T01:27:31Chang Chia-Tchehomura
20652192870820916318113
C9219260990A64FBno


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 = 945000 (P-1 stage 2)
B1 = 78687 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 210000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-10T15:21:32+00:00