is 2 2022971 - 1
has 608975 decimal digits
takes 0.133 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
Actual26714.688368.6567%500000150000000.12305.1301%14.811270.2647%1.6079%
PrimeNet2580.019063.7931%90001500000.00162.6127%0.020664.7391%0.9460%
GPU722620.303766.1290%80001200000.00131.2737%0.305066.5604%0.4314%
Difference+5+14.3846+2.5277%+492000+14880000+0.1216+3.8564%+14.5062+3.7042%+3.7042%

Known prime factors (1 factor, 28.5 bits, 0.00141045% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2022971388410433928.53396
25 × 3
-32321.804e-113.051e-66.209e-6

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T19:19:41alpertronManual testing5000001500000012-
skipped known factor: 388410433
--0.123--5.130%


Trial Factoring results:
No TF results for M2022971


ECM factoring results:

Old Calculation Method

Total ECM effort:3.048 GHz-days
Estimated T-Level:1.700
DigitsB1CurvesCompleteFacMiss
201100034 / 1000.34071.055%
255000034 / 2800.12188.546%

New Calculation Method

Total ECM effort:3.048 GHz-days
Estimated T-Level:1.700
DigitsB1CompleteFacMiss
20110001.35325.858%
25500000.12588.248%
302500000.00899.211%


ECM Summary

B1B2factorcurvesGHz-days
500005000000201.694
500006750000141.354


Lucas-Lehmer results:
No L-L results for M2022971


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-06T00:28:52Oliver KruseGTX-2
388410433
2EE7925584392A__no
2017-11-14T03:57:19kkmrkkblmbrbkc4.xlarge
388410433
2EE7925584392A__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: 2022-04-28T15:14:19+00:00