is 2 2064389 - 1
has 621444 decimal digits
takes 0.136 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
Actual26714.393668.6567%500000150000000.12305.1426%14.516670.2686%1.6119%
PrimeNet2580.018663.7931%90001600000.00162.6691%0.020264.7595%0.9664%
GPU722620.297666.1290%90001300000.00151.3656%0.299166.5916%0.4625%
Difference+5+14.0960+2.5277%+491000+14870000+0.1215+3.7770%+14.2175+3.6770%+3.6770%

Known prime factors (3 factors, 177.6 bits, 0.00860118% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
206438947068069211032.1321140
22 × 3 × 5 × 19
-5193.456e-105.494e-79.701e-7
206438973782009852969455720172272.6441787018092350072
23 × 3 × 6691 × 11128244983
2019-07-28669111128244983753.2957.803107.96
206438981429395822028174207832272.7861972239626883019
13 × 22549 × 6728047387
2021-10-06225496728047387705.8534.94965.272

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
20643893472776746212468265852991952965732104.776
20643893832724438279706946184079363914332104.918
20643896008024484862232581593337668317842051902931144145.430
206438928278611226887016046555218944728421397681557321666
1431
54177.562
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T13:43:03alpertronManual testing5000001500000012-
skipped known factor: 4706806921
--0.123--5.143%


Trial Factoring results:
No TF results for M2064389


ECM factoring results:

Old Calculation Method

Total ECM effort:3.367 GHz-days
Estimated T-Level:1.850
DigitsB1CurvesCompleteFacMiss
201100037 / 1000.37068.945%
255000037 / 2800.13287.601%

New Calculation Method

Total ECM effort:3.367 GHz-days
Estimated T-Level:1.850
DigitsB1CompleteFacMiss
20110001.48122.746%
25500000.13787.192%
302500000.00999.135%


ECM Summary

B1B2factorcurvesGHz-days
500005000000181.528
50000500000010.085
50000675000070.679
50000675000040.388
50000690000070.686


Lucas-Lehmer results:
No L-L results for M2064389


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-06T11:54:34Oliver KruseGTX-1
4706806921
14F25098C845CF__no
2017-11-16T01:49:29kkmrkkblmbrbkc4.xlarge
4706806921
14F25098C845CF__no
2019-08-01T16:59:55Brett Walkerbrain
4706806921
7378200985296945572017
67DB20A7E5CAF63Ano
2019-08-02T16:25:54kkmrkkblmbrbkc5.large
4706806921
7378200985296945572017
67DB20A7E5CAF63Ano
2021-10-07T05:37:04SRJ2877LTOS
4706806921
7378200985296945572017
8142939582202817420783
67DB20A7E5CAF63Ano


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
1010
1011
TF factor-bounds graph:
267
230
240
250
260
270
280
290
2100
Last modified: 2022-07-15T23:55:32+00:00