is 2 2047141 - 1
has 616251 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
Actual26714.514868.6567%500000150000000.12305.1374%14.637870.2670%1.6102%
PrimeNet2580.018863.7931%90001600000.00162.6649%0.020464.7580%0.9649%
GPU722620.300166.1290%90001200000.00141.3299%0.301566.5795%0.4505%
Difference+5+14.2147+2.5277%+491000+14880000+0.1216+3.8075%+14.3363+3.6875%+3.6875%

Known prime factors (2 factors, 94.3 bits, 0.00460518% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
204714112282847823.5503
3
-135.462e-131.057e-71.940e-7
204714119506526535111505323532270.724476433390155136
27 × 3 × 1240711953529
2019-07-051281240711953529138.876,444.612,037

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2047141239595680932214747828604489912994.275
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T19:20:04alpertronManual testing5000001500000012-
skipped known factor: 12282847
--0.123--5.137%


Trial Factoring results:
No TF results for M2047141


ECM factoring results:

Old Calculation Method

Total ECM effort:3.581 GHz-days
Estimated T-Level:1.950
DigitsB1CurvesCompleteFacMiss
201100039 / 1000.39067.573%
255000039 / 2800.13986.976%

New Calculation Method

Total ECM effort:3.581 GHz-days
Estimated T-Level:1.950
DigitsB1CompleteFacMiss
20110001.56720.861%
25500000.14586.481%
302500000.00999.083%


ECM Summary

B1B2factorcurvesGHz-days
500005000000171.442
50000500000010.085
500006750000141.356
50000715000070.697


Lucas-Lehmer results:
No L-L results for M2047141


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-06T06:22:47Oliver KruseGTX-1
12282847
AF87484C5C2100__no
2017-11-15T04:43:06kkmrkkblmbrbkc4.xlarge
12282847
AF87484C5C2100__no
2019-07-05T13:33:30Niels_Mache_NextcloudSuperDry-X
12282847
1950652653511150532353
BB5D515FF7F88836no
2019-07-05T14:26:59ATHec2-PRPCFDC
12282847
1950652653511150532353
BB5D515FF7F88836no


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:
267
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2100
Last modified: 2022-07-14T07:22:01+00:00