is 2 217369 - 1
has 65435 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267136.698073.1343 %30000000100708329922204,464.407323.2318 %4,601.105379.3757 %
Target2440.000059.0909 %40004500000.00029.3710 %0.000262.9245 %
Difference+23+136.6980+14.0434 %+29996000+10070832542220+4,464.4070+13.8608%+4,601.1051+16.4512 %

Known prime factors (2 factors, 141.1 bits, 0.06489832% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21736929238495474731341.4116725544
23 × 3 × 73 × 19 × 43
-3433432.352e-62.791e-65.680e-6
2173699999813728303421766229903284813099.6582300193157327728831210960
24 × 32 × 5 × 997 × 4723 × 678451343552303
2020-01-1647236784513435523036.788e+11300,742561,703

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-05-02Dylan Delgadolaptop-ryzen737006500000604500000
skipped known factor: 2923849547473
--0.31838.836%
2021-05-28Oliver KruseOllaptop300000003000000000
skipped known factor: 2923849547473
--1.56143.736%
2022-03-01Oliver KruseThreadripper-PC3000000010070832992220
skipped known factor: 2923849547473
--5,54762.807%


Trial Factoring results:
5758596061626364656667
No TF results for M217369


ECM factoring results:
Total ECM effort:22.276 GHz-days
Estimated T-Level:29.302
DigitsB1CompleteFacMiss
201100056.2850.000%
25500008.1520.029%
302500000.86042.303%
3510000000.07193.151%
4030000000.00599.525%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002811.673
250000250000003379.446
2500002500000010.026
2500003475000070.235
2500003614199270.239
25000036250000361.231
25000038356327140.490
25000038500000210.704
250000367537170508.232


Lucas-Lehmer results:
No L-L results for M217369


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
2923849547473
A1F04B1F668C57E0
2017-09-22Oliver KruseManual testing
2923849547473
A1F04B1F668C57E0
2017-10-12kkmrkkblmbrbkc4.xlarge
2923849547473
A1F04B1F668C57E0
2020-01-16mrhx
2923849547473
999981372830342176622990328481
711268D466634638
2020-01-17marssystemsSystem01
2923849547473
999981372830342176622990328481
711268D466634638
2023-08-03USAFSS6917th_Scty_Sq
2923849547473
999981372830342176622990328481
711268D466634638


CERT results:
dateuseridcompid
2023-08-03curtiscwcm220a-15l


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10070832992220 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 6500000, B2 = 604500000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 6500000 (P-1 stage 1)
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101
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TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=29.3 ~= 81-bit
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Last modified: 2024-03-13T02:15:48+00:00