is 2 241177 - 1
has 72602 decimal digits
takes 0.001 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
Actualunknown30000000101202470268904,486.311472.9162%4,486.311472.9162%72.9162%
PrimeNet2400.000055.0000%2600650000.000013.9429%0.000061.2743%6.2743%
GPU722440.000059.0909%45001100000.000110.1040%0.000163.2244%4.1335%
Difference-440.0000-59.0909%+29995500+10120246916890+4,486.3113+62.8121%+4,486.3113+9.6918%+9.6918%

Known prime factors (2 factors, 134.3 bits, 0.05566727% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
241177530282854385931445.592109936448
26 × 29 × 59233
-64592333.436e-52.675e-54.904e-5
2411774906521813824002048184036392788.6651017203509004590414547
17 × 1483 × 40347606560810377
2020-01-24148340347606560810377309,818,23217,885,19733,404,568

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2411772601844392541422423421973444584722223992741134.257
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-07-31T18:11:40Oliver KruseOllaptop30000000300000000024-
skipped known factor: 53028285438593
--1.561--43.946%
2022-04-07T15:06:12Oliver KruseThreadripper-PC3000000010120247026890-
skipped known factor: 53028285438593
--4,486--63.050%


Trial Factoring results:
No TF results for M241177


ECM factoring results:

Old Calculation Method

Total ECM effort:10.595 GHz-days
Estimated T-Level:27.281
DigitsB1CurvesCompleteFacMiss
2011000573 / 1005.7300.315%
2550000573 / 2802.04612.872%
30250000292 / 6400.45663.343%

New Calculation Method

Total ECM effort:10.595 GHz-days
Estimated T-Level:27.281
DigitsB1CompleteFacMiss
201100033.3980.000%
25500004.3751.259%
302500000.43564.754%
3510000000.03496.630%
4030000000.00299.777%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002811.678
250000250000001735.165
25000025000000772.299
2500003300000070.231
2500003475000070.236
25000038500000280.986


Lucas-Lehmer results:
No L-L results for M241177


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T06:04:27Oliver KruseOllaptop
53028285438593
14D62BF4E851E8__no
2017-09-22T10:02:56Oliver KruseManual testing
53028285438593
14D62BF4E851E8__no
2017-09-22T10:05:33Oliver KruseManual testing
53028285438593
14D62BF4E851E8__no
2017-11-06T17:23:00kkmrkkblmbrbkc4.xlarge
53028285438593
14D62BF4E851E8__no
2020-01-24T19:02:25nordinordiputer
53028285438593
490652181382400204818403639
49C266B1EC63F749no
2020-01-25T17:07:40marssystemssystem03
53028285438593
490652181382400204818403639
49C266B1EC63F749no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10120247026890 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
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1010
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1017
TF factor-bounds graph:
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2100
Last modified: 2022-05-21T13:32:44+00:00