is 2 217271 - 1
has 65406 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
Actualunknown30000000100708329922204,464.407372.6872%4,464.407372.6872%72.6872%
PrimeNet2400.000055.0000%2200550000.000013.0427%0.000060.8692%5.8692%
GPU722440.000059.0909%4000900000.00019.3703%0.000162.9242%3.8333%
Difference-440.0000-59.0909%+29996000+10070832902220+4,464.4072+63.3169%+4,464.4072+9.7629%+9.7629%

Known prime factors (2 factors, 124.8 bits, 0.05741972% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21727110984821981371339.9992527908
22 × 3 × 210659
-42106593.931e-79.341e-50.0002
217271327058564308084002055949672684.75875265121509102457773
7247 × 10385693598606659
2020-09-0672471038569359860665932,133,9524,603,7478,598,518

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2172713592680106406754870572636207606397647938124.756
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-05-01T21:06:17Dylan Delgadolaptop-ryzen737006500000604500000-
skipped known factor: 1098482198137
--0.318--38.835%
2021-05-28T07:46:31Oliver KruseOllaptop300000003000000000-
skipped known factor: 1098482198137
--1.561--43.735%
2022-03-01T06:24:01Oliver KruseThreadripper-PC3000000010070832992220-
skipped known factor: 1098482198137
--4,464--62.806%


Trial Factoring results:
No TF results for M217271


ECM factoring results:

Old Calculation Method

Total ECM effort:12.747 GHz-days
Estimated T-Level:27.852
DigitsB1CurvesCompleteFacMiss
2011000646 / 1006.4600.151%
2550000646 / 2802.3079.914%
30250000365 / 6400.57056.510%

New Calculation Method

Total ECM effort:12.747 GHz-days
Estimated T-Level:27.852
DigitsB1CompleteFacMiss
201100039.4810.000%
25500005.2540.523%
302500000.52958.890%
3510000000.04295.870%
4030000000.00399.725%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002811.673
250000250000003169.405
2500002500000070.208
25000036250000140.479
2500003839204270.245
25000038500000210.737


Lucas-Lehmer results:
No L-L results for M217271


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T03:35:37Oliver KruseOllaptop
1098482198137
7E481C29399D0D__no
2017-09-22T10:03:54Oliver KruseManual testing
1098482198137
7E481C29399D0D__no
2017-10-12T10:29:19kkmrkkblmbrbkc4.xlarge7E481C29399D0D__no
2020-04-17T19:14:09Oliver KruseAddPrpType5
1098482198137
D1CF0781E2AD85__no
2020-09-06T21:49:25CrypticCluecruncher
1098482198137
32705856430808400205594967
D1CF0781E2AD8540no


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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TF factor-bounds graph:
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Last modified: 2022-05-28T03:53:48+00:00