is 2 1422727 - 1
has 428284 decimal digits
takes 0.054 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LBA5913022F107226double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26720.885268.6567%500000150000000.07144.9168%20.956670.1978%1.5411%
PrimeNet2560.006762.5000%65001100000.00072.7708%0.007463.5391%1.0391%
GPU722600.108065.0000%6000800000.00061.3022%0.108565.4558%0.4558%
Difference+7+20.7772+3.6567%+494000+14920000+0.0709+3.6146%+20.8481+4.7420%+4.7420%

Known prime factors (2 factors, 132.2 bits, 0.00929117% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
14227271309671463926991911856.86246026801485
5 × 7 × 1315051471
2001-10-20713150514710.00773.96657.4084
1422727473592136510257017624092375.32616643816294702252
22 × 4160954073675563
2017-11-174416095407367556310,44512,550,53623,440,905

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1422727620250106727700101962382621701928851111940132.188
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T19:14:07alpertronManual testing5000001500000012---0.071--4.917%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-10-20T00:00:00ANONYMOUSv4_computers??56.862180.0010.1100.002
2003-08-25T00:00:00ANONYMOUSv4_computers??56.862180.0010.1100.002


ECM factoring results:

Old Calculation Method

Total ECM effort:26.343 GHz-days
Estimated T-Level:25.391
DigitsB1CurvesCompleteFacMiss
2011000301 / 1003.0104.855%
2550000301 / 2801.07534.064%
3025000050 / 6400.07892.479%

New Calculation Method

Total ECM effort:26.343 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100012.2630.000%
25500001.39024.916%
302500000.11689.004%
3510000000.00899.198%


ECM Summary

B1B2factorcurvesGHz-days
50000500000024811.70
50000500000030.142
250000400000005014.50


Lucas-Lehmer results:
No L-L results for M1422727


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T20:24:08Oliver KruseGTX-1
130967146392699191
6AB91B6CFC55AA__no
2017-11-04T22:34:31kkmrkkblmbrbkc4.xlarge
130967146392699191
6AB91B6CFC55AA__no
2017-11-18T14:37:44kkmrkkblmbrbkc4.xlarge
130967146392699191
47359213651025701762409
A9227ABD34E3B9__no
2017-11-19T03:05:30Oliver KruseThreadripper
130967146392699191
47359213651025701762409
A9227ABD34E3B9__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-10T10:37:56+00:00