is 2 3457123 - 1
has 1040698 decimal digits
takes 0.363 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L0F15FBB15048A784double-checked
PRPC71CC22C79F00839verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26934.533668.1159%50000002000000002.37948.6502%36.913070.8740%2.7580%
PrimeNet2600.044463.3333%150002800000.00452.9024%0.048964.3976%1.0642%
GPU722641.029665.6250%190003400000.00561.8555%1.035166.2628%0.6378%
Difference+5+33.5040+2.4909%+4981000+199660000+2.3738+6.7947%+35.8779+4.6112%+4.6112%

Known prime factors (2 factors, 168.4 bits, 0.00487041% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
34571233390218606454800555439672478.16649032368915638821
3 × 10103 × 78487 × 20611687
2021-10-09784872061168733,4260.18230.3194
345712314323239585501505343879857932890.210207155481385844607552
26 × 32 × 13049 × 4525981 × 6089533
2021-10-094525981608953381,195,4060.70221.4028

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
345712348558913347477148577011475915212117674428808286083
1
51168.376
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-08-16T11:24:00Carsten Kossendeydurandal20000235000---0.005--0.806%
2011-11-07T01:16:00harleeP4_260060000990000---0.017--1.687%
2014-08-21T21:46:00Jocelyn LaroucheManual testing7856678566---0.012--0.653%
2014-09-21T23:02:00HBendtzHAL900750000010000000---0.155--4.163%
2021-10-09T21:06:31mikrMSI50000002000000001251168.3762.3790.7264.7598.650%
2022-04-10T23:56:30Jocelyn LaroucheManual testing1000000126668850-
skipped known factor: 339021860645480055543967
--1.195--6.996%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-06-01T00:00:00dstromv4_computers21260--0.044--
2009-03-21T17:08:00S485122USB-A260261--0.044--
2011-07-31T08:43:00markrManual testing21262--0.178--
2012-08-18T15:35:00GrunwalderGIMPManual testing21263--0.462--
2016-02-23T16:29:30Mark RoseManual testing262263--0.284--
2015-02-07T18:04:00VictordeHollanderManual testing263264--0.568--
2015-02-07T18:04:00VictordeHollanderManual testing264265--1.081--
2015-04-17T22:34:00Gordon SpenceManual testing265266--2.162--
2017-02-09T04:36:23Gordon SpenceManual testing266267--4.323--
2019-02-04T14:28:17TJAOIManual testing267268--8.646--
2021-01-06T01:57:09axnManual testing268269--17.29--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.487 GHz-days
Estimated T-Level:2.150
DigitsB1CurvesCompleteFacMiss
201100043 / 1000.43064.910%
255000043 / 2800.15485.740%

New Calculation Method

Total ECM effort:6.487 GHz-days
Estimated T-Level:2.150
DigitsB1CompleteFacMiss
20110001.40324.594%
25500000.12788.064%
302500000.00899.220%


ECM Summary

B1B2factorcurvesGHz-days
500005000000365.294
50000675000071.193


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-06-20T00:00:00dstromv4_computers0F15FBB15048A7840.363
1999-07-04T00:00:00kraDenv4_computers0F15FBB15048A7840.363


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-14T21:45:53ATHec2-PRPCF
339021860645480055543967
1432323958550150534387985793
C71CC22C79F00839no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 1000000, B2 = 126668850 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
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 = 78566 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 20000, B2 = 235000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
103
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107
103
104
105
106
107
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109
TF factor-bounds graph:
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267
266
265
264
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261
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2100
Last modified: 2022-04-10T23:56:30+00:00