is 2 244457 - 1
has 73589 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
Actual267121.550773.1343%30000000101202470268904,486.311423.3884%4,607.862179.4178%6.2835%
PrimeNet2400.000055.0000%2600650000.000013.9700%0.000061.2865%6.2865%
GPU722440.000059.0909%45001100000.000110.1251%0.000163.2330%4.1421%
Difference+23+121.5507+14.0434%+29995500+10120246916890+4,486.3113+13.2633%+4,607.8620+16.1848%+16.1848%

Known prime factors (3 factors, 164.4 bits, 0.06723754% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
24445723971453431031.1594903
4903
-149031.242e-92.181e-64.058e-6
2444574657233422391238.761952567
7 × 11 × 89 × 139
2008-07-21891391.773e-77.463e-71.474e-6
244457270105405165638679680202775372994.44855245995239579696977424
24 × 4105144691 × 841109135579
2020-06-0541051446918411091355792.325e+10404.43696.37

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
24445711164065409746140429772269.919
2444576474819141119389046160668122738706019138125.606
2444571257943920505605012997191722265601498534341133.208
2444573015474410795173262303672609107136041305318570764950164.367
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-07-26T05:45:29Oliver KruseOllaptop30000000300000000024-
skipped known factor: 2397145343
skipped known factor: 465723342239
--1.561--12.547%
2022-04-11T19:19:47Oliver KruseThreadripper-PC3000000010120247026890-
skipped known factor: 2397145343
skipped known factor: 465723342239
--4,486--23.388%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-21T09:14:00J FeitsmaManual testing??38.761122.74627e-80.0035.71214e-8


ECM factoring results:

Old Calculation Method

Total ECM effort:10.300 GHz-days
Estimated T-Level:27.203
DigitsB1CurvesCompleteFacMiss
2011000563 / 1005.6300.349%
2550000563 / 2802.01113.341%
30250000282 / 6400.44164.341%

New Calculation Method

Total ECM effort:10.300 GHz-days
Estimated T-Level:27.203
DigitsB1CompleteFacMiss
201100032.5650.000%
25500004.2501.427%
302500000.42165.634%
3510000000.03396.740%
4030000000.00299.785%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002811.679
250000250000001685.018
25000025000000722.151
25000034750000140.472
2500003625000070.240
25000038500000210.740


Lucas-Lehmer results:
No L-L results for M244457


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T06:25:24Oliver KruseOllaptop
2397145343
465723342239
46151B908DFB9E__no
2017-09-22T10:05:47Oliver KruseManual testing
2397145343
465723342239
46151B908DFB9E__no
2017-10-12T16:00:07Oliver KruseGTX-046151B908DFB9E__no
2017-11-06T15:37:20kkmrkkblmbrbkc4.xlarge
2397145343
465723342239
46151B908DFB9E__no
2020-04-17T20:11:00Oliver KruseAddPrpType5
2397145343
465723342239
8EA29DDF55F2E3__no
2020-06-06T10:10:20ANONYMOUSdory
2397145343
465723342239
27010540516563867968020277537
8EA29DDF55F2E3B1no
2020-06-08T07:57:44Luigi Morelli9800X
2397145343
465723342239
27010540516563867968020277537
8EA29DDF55F2E3B1no


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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109
1010
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1010
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TF factor-bounds graph:
267
2
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2100
Last modified: 2022-05-19T13:59:14+00:00