is 2 211231 - 1
has 63587 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actualunknown30000000100708329922203,668.770372.6277%3,668.770372.6277%72.6277%
PrimeNet2400.000055.0000%2200550000.000012.9875%0.000060.8444%5.8444%
GPU722440.000059.0909%4000900000.00019.3278%0.000162.9068%3.8159%
Difference-440.0000-59.0909%+29996000+10070832902220+3,668.7703+63.2999%+3,668.7702+9.7208%+68.8118%

Known prime factors (3 factors, 198.7 bits, 0.09406321% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21123116053556011030.5803800
23 × 52 × 19
-25251.234e-91.672e-73.402e-7
21123191753981125658398311962.99221718872022965
3 × 5 × 13 × 111378830887
2014-12-19131113788308874.885140.57375.779
2112314402029356560498387064300065600732105.118104199415724029578685522013
7 × 1069 × 4931 × 2823933958926641581
2021-11-30493128239339589266415819.112e+111.029e+91.921e+9

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
211231147297767514123994539647434312993.573
2112317066822483320822181025140057456751174520741135.698
21123140390371849644615261622055193126375061131189001481
7
51168.110
21123164840909675299712969735046649416562905213671659318
2443940017
60198.691
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-05-18T03:08:29Oliver KruseOllaptop300000003000000000-
skipped known factor: 1605355601
--1.282--43.678%
2022-02-19T06:44:46Oliver KruseThreadripper-PC3000000010070832992220-
skipped known factor: 1605355601
skipped known factor: 9175398112565839831
--3,669--62.742%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-11-30T03:11:37fbaurubuntu15000000015000000027P+132105.1181.524


Trial Factoring results:
No TF results for M211231


ECM factoring results:
Total ECM effort:10.400 GHz-days
Estimated T-Level:28.175
DigitsB1CompleteFacMiss
201100044.2440.000%
25500006.1740.208%
302500000.63552.998%
3510000000.05194.989%
4030000000.00399.660%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002461.202
500005000000350.171
250000250000003378.236
2500003125000070.185
25000038500000210.605


Lucas-Lehmer results:
No L-L results for M211231


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T03:08:41Oliver KruseDoppelherz
1605355601
9175398112565839831
C1580C9AE269D8__no
2017-09-22T10:02:33Oliver KruseManual testing
1605355601
9175398112565839831
C1580C9AE269D8__no
2017-09-22T10:03:33Oliver KruseManual testing
1605355601
9175398112565839831
C1580C9AE269D8__no
2017-11-06T16:33:48kkmrkkblmbrbkc4.xlarge
1605355601
9175398112565839831
C1580C9AE269D8__no
2020-04-17T19:12:53Oliver KruseAddPrpType5
1605355601
9175398112565839831
EAC5803EAB8094__no
2021-11-30T11:41:09SRJ2877LTOS
1605355601
9175398112565839831
44020293565604983870643000656007
EAC5803EAB80945Eno


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10070832992220 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 150000000 (P+1 stage 1)
B1 = 30000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-11-06T17:12:44+00:00