is 2 2119913 - 1
has 638158 decimal digits
takes 0.139 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
Actual26714.016667.1642%500000150000000.12305.1590%14.139668.8582%1.6940%
PrimeNet2580.018162.0690%90001600000.00162.6825%0.019863.0865%1.0175%
GPU722620.289864.5161%100001400000.00161.4541%0.291465.0321%0.5160%
Difference+5+13.7268+2.6481%+490000+14860000+0.1214+3.7049%+13.8481+3.8261%+3.8261%

Known prime factors (2 factors, 58.4 bits, 0.00275706% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
211991329678783824.8237
7
-171.056e-121.265e-71.940e-7
2119913132409765991133.6243123
32 × 347
2008-07-1493479.047e-102.614e-63.335e-6

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
21199133929760711897990171858.447
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-28T23:19:12alpertronManual testing5000001500000012-
skipped known factor: 29678783
skipped known factor: 13240976599
--0.123--5.159%


Trial Factoring results:
No TF results for M2119913


ECM factoring results:

Old Calculation Method

Total ECM effort:2.414 GHz-days
Estimated T-Level:1.000
DigitsB1CurvesCompleteFacMiss
201100020 / 1000.20081.791%
255000020 / 2800.07193.094%

New Calculation Method

Total ECM effort:2.414 GHz-days
Estimated T-Level:1.000
DigitsB1CompleteFacMiss
20110000.85442.589%
25500000.07692.645%
302500000.00599.528%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000140.710
500005000000201.704


Lucas-Lehmer results:
No L-L results for M2119913


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-07T06:13:17Oliver KruseGTX-2
29678783
13240976599
37E0C9994EA9B0__no
2017-11-17T17:02:21kkmrkkblmbrbkc4.xlarge
29678783
13240976599
37E0C9994EA9B0__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
267
220
230
240
250
260
270
280
290
2100
Last modified: 2022-05-17T13:36:38+00:00