is 2 13505581 - 1
has 4065585 decimal digits
takes 5.992 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2672.200164.1791 %15000001010774104.45539.5650 %6.655467.6054 %
Target2698.839865.2174 %90000110000000.44032.7826 %9.280166.1852 %
Difference-2-6.6397-1.0383 %+1410000+90077410+4.0150+6.7824%-2.6247+1.4201 %

Known prime factors (2 factors, 77.3 bits, 0.00057238% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1350558181033487826.2723
3
-136.624e-137.134e-71.309e-6
1350558123003391372603191651.03185162539
3 × 72 × 11 × 52667
2012-07-0949526673.221e-50.00190.0034

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-07-08nordisweet16_30.8b14300000300000
skipped known factor: 81033487
skipped known factor: 2300339137260319
--0.2081.705%
2022-07-15nordisweet16_30.8b14300000210129150
skipped known factor: 81033487
skipped known factor: 2300339137260319
--8.5327.444%
2022-08-15riccardo ubertiColab_noGPU141500000101077410
skipped known factor: 81033487
skipped known factor: 2300339137260319
--5.0368.133%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2012-07-09dbaughManual testing??
51.031
16
6.83406e-7


ECM factoring results:
Total ECM effort:50.514 GHz-days
Estimated T-Level:20.753
DigitsB1CompleteFacMiss
20110001.21829.584%
25500000.15186.022%
302500000.01698.444%
3510000000.00299.846%


ECM Summary

B1B2factorcurvesGHz-days
500005000000107.282
50000144132451014.10
1000000100000000229.13


Lucas-Lehmer results:
No L-L results for M13505581


PRP results:
dateuseridcompidcofactorsres64
2022-08-15riccardo ubertiNomad2C
81033487
2300339137260319
5F7C35A95E832174


CERT results:
dateuseridcompid
2022-08-15Chad SteenersonLulabelle14


P-1 factor-bounds graph:
B1 = 300000, B2 = 210129150 (P-1 stage 2)
B1 = 1500000, B2 = 101077410 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
this exponent TF target: 69
TF double-checked to: 67
ECM T-Level=20.75 ~= 52-bit
250
260
270
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00