is 2 221209 - 1
has 66591 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
Actual267134.325173.1343%30000000100708329922204,464.407323.2542%4,598.732379.3817%6.2474%
PrimeNet2400.000055.0000%2400600000.000013.4386%0.000061.0474%6.0474%
GPU722440.000059.0909%4000900000.00019.3975%0.000162.9353%3.8444%
Difference+23+134.3251+14.0434%+29996000+10070832902220+4,464.4072+13.8567%+4,598.7323+16.4464%+16.4464%

Known prime factors (4 factors, 111.4 bits, 0.05036021% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22120938490367825.19887
3 × 29
-3292.059e-113.593e-84.968e-8
22120961938521825.884140
22 × 5 × 7
2008-07-21572.082e-114.157e-88.279e-8
221209332698337928.310752
24 × 47
2008-07-2116471.880e-101.439e-72.649e-7
22120943228662791032.0099771
3 × 3257
2008-07-21332572.884e-91.467e-62.698e-6

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
22120923840364047272071651.082
221209128056810914196791753.508
221209206068429329395771754.194
2212091663887095706343931857.207
2212092677519438020333591857.894
22120914382104220966780231960.319
2212097931649472002007075547592479.392
221209103058705819036393341527532683.092
221209553572469697260465861044412685.517
221209890806264314539557578239832686.203
221209342874600393656310072040822707176134111.401
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-06-15T12:56:51Oliver KruseOllaptop300000003000000000-
skipped known factor: 38490367
skipped known factor: 61938521
skipped known factor: 332698337
skipped known factor: 4322866279
--1.561--12.453%
2022-03-07T23:50:27Oliver KruseThreadripper-PC3000000010070832992220-
skipped known factor: 38490367
skipped known factor: 61938521
skipped known factor: 332698337
skipped known factor: 4322866279
--4,464--23.254%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-21T09:14:00J FeitsmaManual testing??28.31092.63134e-110.0035.46903e-11
2008-07-21T09:14:00J FeitsmaManual testing??32.009102.97285e-100.0036.17883e-10
2008-07-21T09:14:00J FeitsmaManual testing??25.88486.12346e-130.0031.27271e-12


ECM factoring results:

Old Calculation Method

Total ECM effort:18.475 GHz-days
Estimated T-Level:28.336
DigitsB1CurvesCompleteFacMiss
2011000705 / 1007.0500.084%
2550000705 / 2802.5188.027%
30250000427 / 6400.66751.288%

New Calculation Method

Total ECM effort:18.475 GHz-days
Estimated T-Level:28.336
DigitsB1CompleteFacMiss
201100053.2540.000%
25500007.6420.048%
302500000.80844.588%
3510000000.06793.550%
4030000000.00499.553%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002731.626
80000800000050.048
250000250000002988.874
2500003475000070.235
25000038500000210.737
2500003850000010.035
2500001250000001006.920


Lucas-Lehmer results:
No L-L results for M221209


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T04:00:34Oliver KruseOllaptop
38490367
61938521
332698337
4322866279
BBFD228B3B007C__no
2017-09-22T10:04:11Oliver KruseManual testing
38490367
61938521
332698337
4322866279
BBFD228B3B007C__no
2017-10-12T11:30:13kkmrkkblmbrbkc4.xlargeBBFD228B3B007C__no
2020-04-17T19:17:48Oliver KruseAddPrpType5
38490367
61938521
332698337
4322866279
BB5A931FF5EE4F__no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10070832992220 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
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108
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TF factor-bounds graph:
267
2
220
230
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2100
Last modified: 2022-03-07T23:50:27+00:00