is 2 2844421 - 1
has 856257 decimal digits
takes 0.220 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7FE7A1D513EEB08Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26710.446467.1642%350005600000.00711.5933%10.453567.6874%0.5232%
PrimeNet2590.027062.7119%130002400000.00282.9918%0.029863.8275%1.1156%
GPU722630.561165.0794%160002600000.00331.8283%0.564465.7178%0.6384%
Difference+4+9.8853+2.0848%+19000+300000+0.0038-0.2350%+9.8891+1.9695%+1.9695%

Known prime factors (1 factor, 66.7 bits, 0.00234548% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
28444211211452064240154892632166.71521295231336011
3 × 7411 × 957820867
2010-11-1074119578208675.38655.845110.916

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.302%
2008-10-31T19:57:00Jayson Kingatlas35000560000---0.007--1.593%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-02-13T18:59:00Sturle Sundegiacco.ifi260261--0.054--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.313 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.313 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.09790.776%
25500000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000030.313


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-16T00:00:00ANONYMOUSv4_computers7FE7A1D513EEB08D0.220


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-22T14:06:15Oliver KruseGTX-1
121145206424015489263
D739A47263BC4E__no
2017-12-07T21:04:20Chang Chia-Tcheexbpc13
121145206424015489263
D739A47263BC4E__no


P-1 factor-bounds graph:
B1 = 35000, B2 = 560000 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
261
250
260
270
280
290
2100
Last modified: 2017-12-07T21:04:20+00:00