is 2 2053069 - 1
has 618036 decimal digits
takes 0.135 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
Actual26714.472968.6567%500000150000000.12305.1392%14.595970.2675%1.6108%
PrimeNet2580.018763.7931%90001600000.00162.6664%0.020364.7585%0.9654%
GPU722620.299266.1290%90001200000.00141.3307%0.300766.5798%0.4507%
Difference+5+14.1737+2.5277%+491000+14880000+0.1216+3.8085%+14.2952+3.6878%+3.6878%

Known prime factors (2 factors, 133.4 bits, 0.00649664% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2053069229943729927.77756
23 × 7
-888.815e-127.627e-71.552e-6
20530696164480497371998660550880747912732105.60415012842961858560673194327
132 × 541951 × 163914062907634433
2022-06-035419511639140629076344339.371e+10851,410,6211.590e+9

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
20530691417483632913492072190074713409355204458341133.380
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T19:20:09alpertronManual testing5000001500000012-
skipped known factor: 229943729
--0.123--5.139%


Trial Factoring results:
No TF results for M2053069


ECM factoring results:

Old Calculation Method

Total ECM effort:3.175 GHz-days
Estimated T-Level:1.800
DigitsB1CurvesCompleteFacMiss
201100036 / 1000.36069.641%
255000036 / 2800.12987.915%

New Calculation Method

Total ECM effort:3.175 GHz-days
Estimated T-Level:1.800
DigitsB1CompleteFacMiss
20110001.41324.330%
25500000.13187.724%
302500000.00899.176%


ECM Summary

B1B2factorcurvesGHz-days
500005000000272.291
50000690000020.196
50000694778370.688


Lucas-Lehmer results:
No L-L results for M2053069


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-06T08:53:12Oliver KruseGTX-1
229943729
097ED659BC8A04__no
2017-11-15T15:56:03Chang Chia-Tcheexbpc13
229943729
097ED659BC8A04__no
2022-06-08T23:45:52XZT600G2Mini1
229943729
61644804973719986605508807479127
24D2636086E77F__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: 2022-06-21T02:43:52+00:00