is 2 3056069 - 1
has 919969 decimal digits
takes 0.260 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L6A472DF70BCF4127double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26819.503867.6471 %3056069307525911021.034012.3318 %40.537771.6368 %
Target2641.164765.6250 %1400011000000.00901.4655 %1.173766.1288 %
Difference+4+18.3391+2.0221 %+3042069+3074159110+21.0249+10.8663%+39.3640+5.5080 %

Known prime factors (1 factor, 74.1 bits, 0.00242579% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3056069207237396556829602336792374.1343390587656182331
11 × 308235241471121
2020-11-15113082352414711211,251.92,072,5053,870,863

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2004-02-07ANONYMOUSv4_computers2048204800--0.0020.572%
2010-10-02markrtiny11000024475006--0.0294.197%
2016-10-15Squeeky_SquirrelP4_260019500053625006--0.0595.330%
2017-01-04JossManual testing132000132000---1.711%
2017-10-21mikrMSI300000010000000012--1.02210.973%
2022-08-13JossManual testing30560693075259110--25.9616.143%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-06-03David Campeauv4_computers212600.025
2009-02-13Sturle Sundeghini.ifi2602610.050
2011-03-27Sid & AndyBuzz2612620.101
2013-01-07dbaughManual testing2622630.321
2015-02-07VictordeHollanderManual testing2632640.642
2015-02-07VictordeHollanderManual testing2642651.223
2015-06-06ThaManual testing2652662.445
2017-05-09Gordon SpenceManual testing2662674.890
2018-07-28ramgeisManual testing2672689.78


ECM factoring results:
Total ECM effort:2.806 GHz-days
Estimated T-Level:4.808
DigitsB1CompleteFacMiss
20110000.96238.230%
25500000.08991.487%
302500000.00699.440%


ECM Summary

B1B2factorcurvesGHz-days
500005000000222.456
50000500000030.350


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-10-29dwightv4_computers6A472DF70BCF41270.260


PRP results:
dateuseridcompidcofactorsres64
2020-11-16Joe S.11600k
20723739655682960233679
15D6CD5ACE2C1AAD


CERT results:
dateuseridcompid
2020-11-16Ben Deloi-009b4ff7cb172164d


P-1 factor-bounds graph:
B1 = 3056069, B2 = 3075259110 (P-1 stage 2)
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3056069 (P-1 stage 1)
B1 = 3000000 (P-1 stage 1)
B1 = 195000, B2 = 5362500 (P-1 stage 2)
B1 = 110000, B2 = 2447500 (P-1 stage 2)
B1 = 195000 (P-1 stage 1)
B1 = 132000 (P-1 stage 1)
B1 = 110000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=4.81 ~= -1-bit
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Last modified: 2024-02-29T14:28:04+00:00