is 2 10783081 - 1
has 3246031 decimal digits
takes 3.522 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LBD30BCFAE4905AEBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2672.755664.1791 %13500027000000.13013.7880 %2.885765.5360 %
Target2685.527664.7059 %7000085000000.25072.7160 %5.778365.6645 %
Difference-1-2.7720-0.5268 %+65000-5800000-0.1206+1.0720%-2.8926-0.1285 %

Known prime factors (1 factor, 75.0 bits, 0.00069546% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
10783081375719289903611253370732374.9921742170395936056
23 × 1097 × 198515314031
2015-10-091097198515314031354.805,123.09,568.4

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2004-01-18ANONYMOUSv4_computers55000646250--0.0412.028%
2013-08-15NesowaOutback13500027000006--0.1303.393%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-24ANONYMOUSv4_computers212640.182
2013-12-10lycornManual testing2642650.347
2015-05-18ThaManual testing2652660.693


ECM factoring results:
Total ECM effort:0.514 GHz-days
Estimated T-Level:0.192
DigitsB1CompleteFacMiss
20110000.03896.227%
25500000.00499.645%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.514


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-09-29ANONYMOUSv4_computersBD30BCFAE4905AEB3.522
2004-02-14ANONYMOUSv4_computersBD30BCFAE4905AEB3.522


PRP results:
dateuseridcompidcofactorsres64
2021-02-19Lisander ViaenePackard_Bell
37571928990361125337073
5B6223228470C694


CERT results:
dateuseridcompid
2021-02-19Ben Deloi-0cc39da67a447bfcb


P-1 factor-bounds graph:
B1 = 135000, B2 = 2700000 (P-1 stage 2)
B1 = 135000 (P-1 stage 1)
B1 = 55000, B2 = 646250 (P-1 stage 2)
B1 = 55000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
266
265
264
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.19 ~= -16-bit
250
260
270
280
JSON version of this page
Last modified: 2024-02-29T14:28:04+00:00