is 2 272693 - 1
has 82089 decimal digits
takes 0.002 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
Actualunknown55500002278955133012.354658.3368%12.354658.3368%58.3368%
PrimeNet2400.000052.5000%2800800000.000114.8480%0.000159.5528%7.0528%
GPU722440.000056.8182%50001300000.000110.7966%0.000161.4803%4.6622%
Difference-440.0000-56.8182%+5545000+22789421330+12.3544+47.5402%+12.3544-3.1435%-3.1435%

Known prime factors (2 factors, 124.8 bits, 0.04577580% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
272693523570561928.964960
26 × 3 × 5
-64641.584e-106.341e-71.291e-6
272693720807957679878659871216456972995.864132164734276251803286336
26 × 3 × 11 × 43647011 × 1433729315023
2020-11-034364701114337293150234.035e+10774.381,445.6

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2726933773938267757183283607009881282152601738124.827
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-01-03T17:35:07Lisander ViaeneManual testing100000100000-
skipped known factor: 523570561
--0.001--11.632%
2022-03-20T01:38:27Lisander ViaeneDesktop55500005550000-
skipped known factor: 523570561
--0.055--23.691%
2022-03-21T01:34:36Lisander ViaeneDesktop555000022789551330-
skipped known factor: 523570561
--12.35--48.616%


Trial Factoring results:
No TF results for M272693


ECM factoring results:

Old Calculation Method

Total ECM effort:9.905 GHz-days
Estimated T-Level:26.617
DigitsB1CurvesCompleteFacMiss
2011000488 / 1004.8800.741%
2550000488 / 2801.74317.447%
30250000207 / 6400.32372.347%

New Calculation Method

Total ECM effort:9.905 GHz-days
Estimated T-Level:26.617
DigitsB1CompleteFacMiss
201100026.3150.000%
25500003.3543.494%
302500000.32572.289%
3510000000.02597.520%
4030000000.00299.839%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002812.052
250000250000001535.586
2500002500000040.146
25000035000000150.621
2500003653562070.295
25000038282415140.602
25000038500000140.603


Lucas-Lehmer results:
No L-L results for M272693


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T10:14:15Oliver KruseOllaptop
523570561
315F9555A44DD2__no
2017-09-22T20:35:38Oliver KruseManual testing
523570561
315F9555A44DD2__no
2017-10-16T13:19:24Oliver KruseThreadripper
523570561
315F9555A44DD2__no
2017-11-06T14:07:13kkmrkkblmbrbkc4.xlarge
523570561
315F9555A44DD2__no
2020-04-17T21:15:38Oliver KruseAddPrpType5
523570561
6FEA5AE18DBA55__no
2020-11-03T15:10:46mrhlanai
523570561
72080795767987865987121645697
6FEA5AE18DBA55DDno


P-1 factor-bounds graph:
B1 = 5550000, B2 = 22789551330 (P-1 stage 2)
B1 = 5550000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-22T22:58:12+00:00