is 2 3509827 - 1
has 1056564 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
Actual26816.982367.6471 %10000002332184402.07918.3117 %19.061370.3361 %
Target2641.014165.6250 %2000018000000.01781.9164 %1.031966.2838 %
Difference+4+15.9682+2.0221 %+980000+231418440+2.0612+6.3953%+18.0294+4.0524 %

Known prime factors (2 factors, 109.6 bits, 0.00312343% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3509827128811348443017991753.5161835009937
33 × 17 × 53 × 75431
-53754310.00040.00060.0012
3509827778123956279752231756.11111084933193
3 × 37 × 99864263
2015-03-1037998642630.00330.82861.5476

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2020-10-09JossManual testing35098235098276
skipped known factor: 12881134844301799
---5.299%
2022-04-24JossManual testing1000000145208700
skipped known factor: 12881134844301799
skipped known factor: 77812395627975223
--1.41210.829%
2022-09-09JossManual testing1000000233218440
skipped known factor: 12881134844301799
skipped known factor: 77812395627975223
--2.17711.481%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2015-03-10TJAOIManual testing256257*
56.111
17
0.000
2022-05-28LordJuliusManual testing262266
2022-06-02LordJuliusManual testing266267
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 M3509827


PRP results:
dateuseridcompidcofactorsres64
2017-11-07kkmrkkblmbrbkc4.xlarge
12881134844301799
77812395627975223
2659E76798CCA1FF
2017-11-24Oliver KruseGTX-0
12881134844301799
77812395627975223
2659E76798CCA1FF


CERT results:
No CERT results for M3509827


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 = 350982, B2 = 3509827 (P-1 stage 2)
B1 = 350982 (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
266
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00