is 2 222791 - 1
has 67067 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
Actualunknown30000000100708329922204,464.407372.7401%4,464.407372.7401%72.7401%
PrimeNet2400.000055.0000%2400600000.000013.4527%0.000061.0537%6.0537%
GPU722440.000059.0909%4000900000.00019.4082%0.000162.9397%3.8488%
Difference-440.0000-59.0909%+29996000+10070832902220+4,464.4072+63.3319%+4,464.4072+9.8004%+9.8004%

Known prime factors (2 factors, 117.1 bits, 0.05257235% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
222791445583618.7651
1
-111.568e-138.136e-91.656e-8
2227914070504726561840821542834640313098.361913525395227329834136665
5 × 17 × 103 × 1596277301 × 65366636183
2020-10-221596277301653666361835.628e+1141.25554.118

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
22279118137477075756047187855208875332507336117.126
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-06-06T13:28:19Oliver KruseOllaptop300000003000000000-
skipped known factor: 445583
--1.561--43.786%
2022-03-10T11:53:30Oliver KruseThreadripper-PC3000000010070832992220-
skipped known factor: 445583
--4,464--62.862%


Trial Factoring results:
No TF results for M222791


ECM factoring results:

Old Calculation Method

Total ECM effort:11.995 GHz-days
Estimated T-Level:27.680
DigitsB1CurvesCompleteFacMiss
2011000624 / 1006.2400.189%
2550000624 / 2802.22910.725%
30250000343 / 6400.53658.488%

New Calculation Method

Total ECM effort:11.995 GHz-days
Estimated T-Level:27.680
DigitsB1CompleteFacMiss
201100037.6480.000%
25500004.9660.697%
302500000.49860.763%
3510000000.04096.122%
4030000000.00399.742%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002811.674
250000250000003209.53
2500002500000020.060
25000037209514140.484
2500003850000070.246


Lucas-Lehmer results:
No L-L results for M222791


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T04:09:35Oliver KruseOllaptop
445583
B333D5593322BA__no
2017-09-22T10:04:17Oliver KruseManual testing
445583
B333D5593322BA__no
2017-10-12T11:52:57kkmrkkblmbrbkc4.xlargeB333D5593322BA__no
2020-04-17T19:16:00Oliver KruseAddPrpType5
445583
30756DD8D7E745__no
2020-10-22T12:55:02mnd975211backdoor
445583
407050472656184082154283464031
30756DD8D7E745CCno
2020-10-22T23:16:26tottenhoff3-of-4-Ryzen-5-3600
445583
407050472656184082154283464031
30756DD8D7E745CCno
2022-05-12T18:21:39Jorge CoveiroManual testing
445583
30756DD8D7E745CCno


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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TF factor-bounds graph:
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Last modified: 2022-05-12T18:21:39+00:00