is 2 2122039 - 1
has 638798 decimal digits
takes 0.140 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
Actual26714.002567.1642%500000150000000.12305.1597%14.125568.8584%1.6942%
PrimeNet2580.018162.0690%90001600000.00162.6830%0.019763.0867%1.0177%
GPU722620.289564.5161%100001400000.00161.4544%0.291165.0322%0.5161%
Difference+5+13.7130+2.6481%+490000+14860000+0.1214+3.7053%+13.8344+3.8262%+3.8262%

Known prime factors (2 factors, 91.3 bits, 0.00430349% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
212203921220391824.3395
5
-151.054e-121.161e-71.940e-7
21220391458181359406010543112166.98334358024508645
3 × 5 × 4013 × 570778711
2018-01-07401357077871111.8762.96515.5374

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
212203930943178595507071474916556012891.322
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:12:58alpertronManual testing5000001500000012-
skipped known factor: 21220391
--0.123--5.160%


Trial Factoring results:
No TF results for M2122039


ECM factoring results:

Old Calculation Method

Total ECM effort:3.473 GHz-days
Estimated T-Level:1.350
DigitsB1CurvesCompleteFacMiss
201100027 / 1000.27076.234%
255000027 / 2800.09690.792%

New Calculation Method

Total ECM effort:3.473 GHz-days
Estimated T-Level:1.350
DigitsB1CompleteFacMiss
20110001.18730.529%
25500000.10789.894%
302500000.00799.342%


ECM Summary

B1B2factorcurvesGHz-days
5000050000211.065
500005000000110.937
50000500000020.170
50000596583470.644
50000621907370.656


Lucas-Lehmer results:
No L-L results for M2122039


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-08T12:03:12Oliver KruseGTX-1
21220391
B0619CD176B223__no
2017-11-17T18:32:49kkmrkkblmbrbkc4.xlarge
21220391
B0619CD176B223__no
2018-01-09T16:49:34AdolfNorManual testing
21220391
145818135940601054311
1AB32453E33BD0__no
2018-01-10T19:54:30Oliver KruseGTX-5
21220391
145818135940601054311
1AB32453E33BD0__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
109
TF factor-bounds graph:
267
220
230
240
250
260
270
280
290
2100
Last modified: 2022-07-17T13:25:43+00:00