is 2 8435929 - 1
has 2539468 decimal digits
takes 2.203 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L092B443763249684double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual273226.749767.1233 %1023734307120071.00004.2813 %227.749768.5308 %
Target2687.065664.7059 %5000055000000.13142.1896 %7.196965.4787 %
Difference+5+219.6841+2.4174 %+973734+25212007+0.8686+2.0917%+220.5527+3.0522 %

Known prime factors (1 factor, 75.2 bits, 0.00089157% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8435929437536930213763195140732375.2122593294290491084
22 × 859 × 214603 × 3516923
2021-12-0921460335169231,728.50.14940.1654

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-12-31shaneamyv4_computers50000825000--0.0352.036%
2012-08-19bcp19Toshiba-740Q10000018250006--0.0732.846%
2021-12-09GdSManual testing1023734307120071222375.2121.1176.746%


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-10-04ANONYMOUSv4_computers212610.018
1998-10-11ANONYMOUSv4_computers212620.036
1998-12-06ANONYMOUSv4_computers212630.116
2005-10-04David Campeauv4_computers212640.233
2014-03-17lycornManual testing2642650.443
2015-05-26VictordeHollanderManual testing2652660.886
2016-01-07snme2pm1Manual testing2662671.772
2018-03-10monstManual testing2672683.543
2020-01-03TJAOIManual testing2682697.087
2021-08-20SRBaseManual testing26927014.17
2021-08-27SRBaseManual testing27027128.35
2021-10-05SRBaseManual testing27127256.69
2021-12-05ANONYMOUSManual testing272273113.4


ECM factoring results:
Total ECM effort:1.191 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.191


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-11-17ANONYMOUSv4_computers092B4437632496842.203
2002-12-31shaneamyv4_computers092B4437632496842.203


PRP results:
dateuseridcompidcofactorsres64
2021-12-17kutenselaine1
43753693021376319514073
306F2E732935EF55


CERT results:
dateuseridcompid
2021-12-17Jeff Vanderau


P-1 factor-bounds graph:
B1 = 1023734, B2 = 30712007 (P-1 stage 2)
B1 = 1023734 (P-1 stage 1)
B1 = 100000, B2 = 1825000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 50000, B2 = 825000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
TF factor-bounds graph:
273
272
271
270
269
268
267
266
265
264
263
262
261
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
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Last modified: 2024-03-13T02:15:48+00:00