is 2 202109 - 1
has 60841 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
Actual267147.019373.1343%30000000102640764025803,739.164623.1623%3,886.183979.3570%6.2227%
PrimeNet2400.000055.0000%2200500000.000012.6646%0.000060.6991%5.6991%
GPU722440.000059.0909%3600800000.00018.8808%0.000162.7240%3.6331%
Difference+23+147.0193+14.0434%+29996400+10264076322580+3,739.1645+14.2815%+3,886.1838+16.6331%+16.6331%

Known prime factors (2 factors, 86.2 bits, 0.04265680% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
20210919823946150791340.8504904271
32 × 544919
-95449191.109e-60.00020.0004
202109452461434468731445.363111935004
22 × 3 × 17 × 19 × 28879
2008-07-2119288793.144e-51.064e-51.965e-5

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
202109896957111221730191211979672686.213
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-05-04T18:17:53Oliver KruseOllaptop300000003000000000-
skipped known factor: 1982394615079
skipped known factor: 45246143446873
--1.282--12.368%
2022-02-04T13:45:19Oliver KruseThreadripper-PC3000000010264076402580-
skipped known factor: 1982394615079
skipped known factor: 45246143446873
--3,739--23.162%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-21T09:13:00J FeitsmaManual testing??45.363148.25254e-60.0021.71161e-5


ECM factoring results:

Old Calculation Method

Total ECM effort:12.071 GHz-days
Estimated T-Level:28.367
DigitsB1CurvesCompleteFacMiss
2011000712 / 1007.1200.078%
2550000712 / 2802.5437.828%
30250000431 / 6400.67350.968%

New Calculation Method

Total ECM effort:12.071 GHz-days
Estimated T-Level:28.367
DigitsB1CompleteFacMiss
201100050.4440.000%
25500007.1260.080%
302500000.74047.691%
3510000000.06094.143%
4030000000.00499.599%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002811.372
250000250000003819.300
2500003125000070.185
2500003325000070.189
2500003592818670.196
2500003600000070.196
25000038500000210.604
2500003850000010.029


Lucas-Lehmer results:
No L-L results for M202109


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T02:22:11Oliver KruseOllaptop
1982394615079
45246143446873
84E99065C24382__no
2017-09-22T10:02:46Oliver KruseManual testing
1982394615079
45246143446873
84E99065C24382__no
2017-10-12T07:13:07kkmrkkblmbrbkc4.xlarge84E99065C24382__no
2020-04-17T19:06:47Oliver KruseAddPrpType5
1982394615079
45246143446873
E86F217AB536E3__no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10264076402580 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
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TF factor-bounds graph:
267
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Last modified: 2022-07-24T10:15:37+00:00