is 2 3433453 - 1
has 1033573 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-L469AE5AB1628CFA5double-checked
PRP4B26F50B6D8291EBverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26934.771668.1159%10000001146568501.09536.8892%35.867070.3125%2.1966%
PrimeNet2600.044763.3333%150002800000.00452.8989%0.049264.3963%1.0629%
GPU722641.036765.6250%190003400000.00561.8531%1.042266.2620%0.6370%
Difference+5+33.7350+2.4909%+981000+114316850+1.0898+5.0361%+34.8247+4.0505%+4.0505%

Known prime factors (1 factor, 70.3 bits, 0.00204660% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
343345314224884845699349401832270.269207151297042647
3 × 23 × 3002192710763
2021-03-23233002192710763126.9924,91046,525

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2010-09-23T18:43:00Rob_Deetwopc1000020000---0.002--0.216%
2010-09-23T19:55:00Rob_Deetwopc2000030000---0.003--0.322%
2010-09-23T22:32:00Rob_Deetwopc3000040000---0.005--0.407%
2010-09-24T05:01:00Rob_Deetwopc4000050000---0.006--0.480%
2010-09-24T18:14:00Rob_Deetwopc5000060000---0.008--0.545%
2010-09-24T19:40:00Rob_Deetwopc6000070000---0.009--0.604%
2010-09-24T20:32:00Rob_Deetwopc7000080000---0.011--0.658%
2010-09-24T21:21:00Rob_Deetwopc8000090000---0.012--0.709%
2010-09-25T06:19:00Rob_Deetwopc90000100000---0.014--0.756%
2010-09-25T23:33:00Rob_Deetwopc100000200000---0.016--1.081%
2010-09-26T05:30:00Rob_Deetwopc100000400000---0.018--1.418%
2010-09-26T19:13:00Rob_Deetwopc100000600000---0.019--1.622%
2010-09-26T20:31:00Rob_Deetwopc100000800000---0.021--1.769%
2010-09-27T04:16:00Rob_Deetwopc1000001000000---0.023--1.885%
2014-09-15T17:58:00HBendtzHAL900750000010000000---0.155--4.160%
2022-02-12T19:37:11Jocelyn LaroucheManual testing1000000114656850---1.095--6.889%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:29Mark RoseManual testing21260--0.045--
2009-03-24T06:24:00S485122USB-Z260261--0.045--
2011-08-08T01:15:00markroldgamer261262--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--4.353--
2022-01-22T13:05:29Jocelyn LaroucheManual testing267268--8.706--
2018-09-24T14:19:06TJAOIManual testing267268--8.706--
2021-01-01T04:52:50axnManual testing268269--17.41--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.790 GHz-days
Estimated T-Level:0.950
DigitsB1CurvesCompleteFacMiss
201100019 / 1000.19082.617%
255000019 / 2800.06893.428%

New Calculation Method

Total ECM effort:2.790 GHz-days
Estimated T-Level:0.950
DigitsB1CompleteFacMiss
20110000.61354.178%
25500000.05594.611%
302500000.00399.659%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.203
50000500000040.587


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-10-04T00:00:00ANONYMOUSv4_computers469AE5AB1628CFA50.361
1999-07-04T00:00:00ANONYMOUSv4_computers469AE5AB1628CFA50.361


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-25T03:23:36Hyeonseung KwonL5
1422488484569934940183
4B26F50B6D8291EBno


P-1 factor-bounds graph:
B1 = 1000000, B2 = 114656850 (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 = 100000, B2 = 1000000 (P-1 stage 2)
B1 = 100000, B2 = 800000 (P-1 stage 2)
B1 = 100000, B2 = 600000 (P-1 stage 2)
B1 = 100000, B2 = 400000 (P-1 stage 2)
B1 = 100000, B2 = 200000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 90000, B2 = 100000 (P-1 stage 2)
B1 = 90000 (P-1 stage 1)
B1 = 80000, B2 = 90000 (P-1 stage 2)
B1 = 80000 (P-1 stage 1)
B1 = 70000, B2 = 80000 (P-1 stage 2)
B1 = 70000 (P-1 stage 1)
B1 = 60000, B2 = 70000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 50000, B2 = 60000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 40000, B2 = 50000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
B1 = 30000, B2 = 40000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000, B2 = 30000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 10000, B2 = 20000 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-02-12T19:37:11+00:00