is 2 3510811 - 1
has 1056860 decimal digits
takes 0.369 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
Actual26816.977567.6471 %10000002332184402.07918.3119 %19.056670.3362 %
Target2641.013865.6250 %2000018000000.01781.9165 %1.031666.2838 %
Difference+4+15.9637+2.0221 %+980000+231418440+2.0612+6.3955%+18.0249+4.0524 %

Known prime factors (2 factors, 90.6 bits, 0.00258017% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3510811183474982871134.0952613
3 × 13 × 67
-13671.021e-92.428e-64.029e-6
35108111011915860495774171856.49014411426028
22 × 3 × 911 × 1318279
2015-04-0891113182790.00350.01110.0204

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2020-10-09JossManual testing35108135108116
skipped known factor: 18347498287
skipped known factor: 101191586049577417
---5.300%
2022-04-24JossManual testing1000000145208700
skipped known factor: 18347498287
skipped known factor: 101191586049577417
--1.41210.830%
2022-09-09JossManual testing1000000233218440
skipped known factor: 18347498287
skipped known factor: 101191586049577417
--2.17711.481%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2015-04-08TJAOIManual testing256257*
56.490
18
0.001
2022-05-30Magallan3sManual testing21260
34.095
56.490
11
18
2022-06-02LordJuliusManual testing262267
2022-01-31JossManual testing267268


ECM factoring results:
Total ECM effort:0.442 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.442


Lucas-Lehmer results:
No L-L results for M3510811


PRP results:
dateuseridcompidcofactorsres64
2017-11-07kkmrkkblmbrbkc4.xlarge
18347498287
101191586049577417
64C6F66190BD93FA
2017-11-24Oliver KruseThreadripper-PC
18347498287
101191586049577417
64C6F66190BD93FA


CERT results:
No CERT results for M3510811


P-1 factor-bounds graph:
B1 = 1000000, B2 = 233218440 (P-1 stage 2)
B1 = 1000000, B2 = 145208700 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 351081, B2 = 3510811 (P-1 stage 2)
B1 = 351081 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
260
this exponent TF target: 64
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