is 2 10396073 - 1
has 3129530 decimal digits
takes 3.396 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
Actual2672.858264.1791 %500000100000000.48205.7771 %3.340266.2485 %
Target2685.733464.7059 %7000080000000.23782.6629 %5.971265.6457 %
Difference-1-2.8752-0.5268 %+430000+2000000+0.2442+3.1142%-2.6310+0.6028 %

Known prime factors (2 factors, 112.1 bits, 0.00107822% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
10396073701734927511136.0303375
33 × 53
-1251251.524e-95.921e-50.0001
10396073788784974455700463542892376.0623793667928532728
23 × 3 × 433 × 1879 × 194282371
2020-06-0118791942823711,697.75.01469.3643

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2020-06-02riccardo ubertiColab_noGPU12500000100000001222376.0620.4825.251%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-20riccardo ubertiColab_noGPU157500002000000065--1.027
2021-05-31riccardo ubertiColab_noGPU147500002000000027--1.064


Trial Factoring results:
575859606162636465666768
No TF results for M10396073


ECM factoring results:
Total ECM effort:9.614 GHz-days
Estimated T-Level:2.500
DigitsB1CompleteFacMiss
20110000.50060.653%
25500000.04895.284%
302500000.00399.688%


ECM Summary

B1B2factorcurvesGHz-days
5000014400000109.61


Lucas-Lehmer results:
No L-L results for M10396073


PRP results:
dateuseridcompidcofactorsres64
2020-05-31riccardo ubertiNomad2C
70173492751
372BD92E800919EC
2020-06-04Oliver KruseThreadripper-PC
70173492751
78878497445570046354289
372BD92E800919EC


CERT results:
No CERT results for M10396073


P-1 factor-bounds graph:
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=2.5 ~= -8-bit
250
260
270
280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00