is 2 3712909 - 1
has 1117697 decimal digits
takes 0.390 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2678.002967.1642%1000001303648501.09616.0012%9.098969.1347%1.9705%
PrimeNet2600.041463.3333%160003200000.00503.0855%0.046364.4647%1.1314%
GPU722640.958665.6250%220004500000.00692.1069%0.965566.3493%0.7243%
Difference+3+7.0442+1.5392%+78000+129914850+1.0892+3.8942%+8.1334+2.7855%+2.7855%

Known prime factors (1 factor, 28.4 bits, 0.00076433% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3712909349013447928.37947
47
-1479.729e-125.340e-76.780e-7

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-03-04T04:18:03Jocelyn LaroucheManual testing9000090000-
skipped known factor: 349013447
--0.014--0.960%
2022-03-22T01:41:09Jocelyn LaroucheManual testing100000100000-
skipped known factor: 349013447
--0.015--1.019%
2022-05-18T11:00:34Jocelyn LaroucheManual testing100000130364850-
skipped known factor: 349013447
--1.096--6.001%


Trial Factoring results:
No TF results for M3712909


ECM factoring results:

Old Calculation Method

Total ECM effort:0.447 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.447 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.447


Lucas-Lehmer results:
No L-L results for M3712909


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-20T17:02:19kkmrkkblmbrbkManual testing
349013447
8094AABC2B5817__no
2017-12-01T06:42:41Oliver KruseThreadripper
349013447
8094AABC2B5817__no


P-1 factor-bounds graph:
B1 = 100000, B2 = 130364850 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
100
101
102
103
104
105
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
220
230
240
250
260
270
280
290
2100
Last modified: 2022-05-18T11:00:34+00:00