is 2 242797 - 1
has 73090 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
Actual267122.381773.1343%30000000101202470268904,486.311423.3797%4,608.693179.4154%6.2811%
PrimeNet2400.000055.0000%2600650000.000013.9563%0.000061.2803%6.2803%
GPU722440.000059.0909%45001100000.000110.1145%0.000163.2287%4.1377%
Difference+23+122.3817+14.0434%+29995500+10120246916890+4,486.3113+13.2652%+4,608.6930+16.1868%+16.1868%

Known prime factors (1 factor, 63.9 bits, 0.02631188% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
242797170270034789474324732063.88435064278963388
22 × 33 × 2309 × 140610329
2007-08-2723091406103298.96780.06230.1164

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-05T00:00:00ANONYMOUSv4_computers1000004000000---0.003--2.234%
2001-06-09T00:00:00ANONYMOUSv4_computers10000010000000---0.005--2.700%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.544%
2002-08-03T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.223%
2003-03-07T00:00:00ANONYMOUSv4_computers13107213107200---0.007--3.029%
2003-10-31T00:00:00ANONYMOUSv4_computers26214426214400---0.014--3.952%
2021-07-22T03:09:09Oliver KruseOllaptop30000000300000000024-
skipped known factor: 17027003478947432473
--1.561--12.540%
2022-04-09T21:19:53Oliver KruseThreadripper-PC3000000010120247026890-
skipped known factor: 17027003478947432473
--4,486--23.380%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.010--
2022-03-07T05:44:58LordJuliusManual testing254255--0.010--
2001-02-18T00:00:00ANONYMOUSv4_computers21256--0.040--
2002-04-07T00:00:00ANONYMOUSv4_computers21257--0.079--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.023 GHz-days
Estimated T-Level:27.375
DigitsB1CurvesCompleteFacMiss
2011000585 / 1005.8500.280%
2550000585 / 2802.08912.331%
30250000304 / 6400.47562.165%

New Calculation Method

Total ECM effort:11.023 GHz-days
Estimated T-Level:27.375
DigitsB1CompleteFacMiss
201100038.9530.000%
25500005.3500.475%
302500000.54558.008%
3510000000.04495.719%
4030000000.00399.712%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002811.678
250000250000002487.406
2500003300000070.231
2500003617818970.240
25000036250000140.481
25000038500000280.986


Lucas-Lehmer results:
No L-L results for M242797


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T06:16:29Oliver KruseOllaptop
17027003478947432473
F9DD680F812311__no
2017-09-22T10:05:41Oliver KruseManual testing
17027003478947432473
F9DD680F812311__no
2017-10-12T17:02:22kkmrkkblmbrbkc4.xlargeF9DD680F812311__no
2020-04-17T20:08:48Oliver KruseAddPrpType5
17027003478947432473
EE10A4342969B4__no


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)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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255
254
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2100
Last modified: 2022-07-26T22:19:01+00:00