is 2 223207 - 1
has 67193 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
Actualunknown30000000100708329922204,464.407372.7441%4,464.407372.7441%72.7441%
PrimeNet2400.000055.0000%2400600000.000013.4564%0.000061.0554%6.0554%
GPU722440.000059.0909%4000900000.00019.4110%0.000162.9409%3.8500%
Difference-440.0000-59.0909%+29996000+10070832902220+4,464.4072+63.3330%+4,464.4072+9.8032%+9.8032%

Known prime factors (2 factors, 126.5 bits, 0.05666502% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22320724544127424971341.1595498064
24 × 33 × 11 × 13 × 89
-27891.387e-62.472e-74.471e-7
223207483522932625290813920627992685.322108312672233686849857
32 × 2113 × 97561 × 58379587361
2020-05-22975615837958736167,908,12525.87948.334

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
22320711867648471250321826571098498164006910339126.480
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-06-07T09:15:49Oliver KruseOllaptop300000003000000000-
skipped known factor: 2454412742497
--1.561--43.789%
2022-03-11T04:16:13Oliver KruseThreadripper-PC3000000010070832992220-
skipped known factor: 2454412742497
skipped known factor: 48352293262529081392062799
--4,464--62.866%


Trial Factoring results:
No TF results for M223207


ECM factoring results:

Old Calculation Method

Total ECM effort:11.936 GHz-days
Estimated T-Level:27.664
DigitsB1CurvesCompleteFacMiss
2011000622 / 1006.2200.193%
2550000622 / 2802.22110.802%
30250000341 / 6400.53358.671%

New Calculation Method

Total ECM effort:11.936 GHz-days
Estimated T-Level:27.664
DigitsB1CompleteFacMiss
201100037.4810.000%
25500004.9460.711%
302500000.49660.891%
3510000000.03996.137%
4030000000.00399.743%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002811.674
250000250000003149.353
2500002500000060.179
2500003600000070.239
25000038500000140.492


Lucas-Lehmer results:
No L-L results for M223207


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T04:12:07Oliver KruseOllaptop
2454412742497
CCD3EEE5BDDDE3__no
2017-09-22T10:04:19Oliver KruseManual testing
2454412742497
CCD3EEE5BDDDE3__no
2017-10-12T11:59:56kkmrkkblmbrbkc4.xlargeCCD3EEE5BDDDE3__no
2020-04-17T19:18:50Oliver KruseAddPrpType5
2454412742497
F47A6CEF5DC6FC__no
2020-05-22T01:21:32CrypticCluecruncher
2454412742497
48352293262529081392062799
F47A6CEF5DC6FC20no


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: 2022-05-26T23:23:53+00:00