is 2 3500969 - 1
has 1053897 decimal digits
takes 0.368 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L853C9C2175C76B73double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.025367.6471%30000002730000002.69719.4111%19.722470.6918%3.0448%
PrimeNet2600.043963.3333%150003000000.00462.9606%0.048564.4189%1.0856%
GPU722641.016765.6250%200003600000.00591.9155%1.022566.2835%0.6585%
Difference+4+16.0086+2.0221%+2980000+272640000+2.6912+7.4956%+18.6998+4.4084%+4.4084%

Known prime factors (1 factor, 80.4 bits, 0.00229677% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
350096916052335034481665026748172580.409229255600870525632
26 × 3 × 13 × 91849199066717
2015-05-226491849199066717119,175762,0911,423,373

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T21:43:00Carsten Kossendeyleela20000240000---0.005--0.947%
2011-11-03T11:10:00markrtiny2350005875000---0.083--3.741%
2021-03-25T03:13:38ViliamF33000000273000000---2.697--9.411%
2022-04-12T19:24:01Jocelyn LaroucheManual testing1000000126668850---1.195--7.639%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-02-19T05:36:00Jayson Kingatlas260261--0.044--
2011-07-19T02:53:00Grant McCrackenthumper261262--0.088--
2012-06-20T01:18:00GrunwalderGIMPManual testing21263--0.456--
2015-01-25T20:43:00VictordeHollanderManual testing263264--0.561--
2015-01-25T20:43:00VictordeHollanderManual testing264265--1.067--
TF assumed completed to 67 but no detailed record exists
2022-01-13T18:44:35Jocelyn LaroucheManual testing267268--8.538--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.327 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:1.327 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.29074.802%
25500000.02697.410%
302500000.00299.839%


ECM Summary

B1B2factorcurvesGHz-days
50000500000060.885
50000500000030.442


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-11-04T00:00:00MadPoov4_computers853C9C2175C76B730.368


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-07T19:19:30Oliver KruseGTX-1
1605233503448166502674817
B33AFB4FB57F01__no
2017-12-17T02:44:49kkmrkkblmbrbkc4.xlarge
1605233503448166502674817
B33AFB4FB57F01__no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 273000000 (P-1 stage 2)
B1 = 1000000, B2 = 126668850 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 235000, B2 = 5875000 (P-1 stage 2)
B1 = 235000 (P-1 stage 1)
B1 = 20000, B2 = 240000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-12T19:24:01+00:00