is 2 14321 - 1
has 4312 decimal digits
takes 0.000 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
Actualunknown1000000000308839074349806058,149.577180.3128%58,149.577180.3128%80.3128%
PrimeNet2400.000065.0000%500100000.00003.3858%0.000066.1850%1.1850%
GPU722440.000268.1818%500100000.00001.4102%0.000268.6305%0.4487%
Difference-44-0.0002-68.1818%+999999500+3088390743488060+58,149.5771+78.9026%+58,149.5770+11.6823%+79.8641%

Known prime factors (3 factors, 306.7 bits, 2.14175630% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1432119707979508809570375272270.73968807972588539803
3 × 157 × 146089113776093
2014-04-2315714608911377609316,6962,750.65,137.4
143218883175199455305749860119507332932106.1313101450736490226153851029784
23 × 11 × 13 × 29 × 61 × 1532537216558990972069
2017-06-056115325372165589909720691.071e+132.886e+105.389e+10
14321122740200331922834872504152710437798064940129.85142853222656212148199324122865176244
22 × 67 × 2984297 × 3144083 × 3266279 × 5217462904427
2022-01-24326627952174629044271.333e+1398.237183.48

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1432117506943480403053395992999809245469463377174336981
7383
54176.870
1432124189613530487168579480093822506262114861137698945
93572815023
61200.590
1432110903227035647128136713086319631334167408039255947
6115017315208498010521
72235.982
1432121488057499843211644029458285566606104208172150063
4393941322318848470836252801633853437821567
93306.721
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-01-24T07:55:50Ethan O'ConnorHighland20201000000000308839074349806040129.85158,1506.82634e-6116,29971.105%


Trial Factoring results:
No TF results for M14321


ECM factoring results:
Total ECM effort:23.373 GHz-days
Estimated T-Level:36.636
DigitsB1CompleteFacMiss
2011000502.4670.000%
2550000110.7660.000%
3025000019.2230.000%
3510000002.7396.462%
4030000000.32772.099%
45110000000.03496.649%
50440000000.00399.689%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001480.037
250000250000005510.685
50000050000000100.025
10000001000000001,0305.122
10000001000000003911.944
30000003000000001,04315.56


Lucas-Lehmer results:
No L-L results for M14321


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:12:52Oliver KruseOliver-PC
1970797950880957037527
88831751994553057498601195073329
CBBA2115E0FAEBFBno
2017-09-21T19:22:11Oliver KruseManual testing
1970797950880957037527
88831751994553057498601195073329
CBBA2115E0FAEBFBno
2017-10-02T10:05:42kkmrkkblmbrbkManual testing
1970797950880957037527
88831751994553057498601195073329
CBBA2115E0FAEB__no
2017-12-07T02:54:43ATHManual testing
1970797950880957037527
88831751994553057498601195073329
CBBA2115E0FAEB__no
2020-04-17T13:47:35Oliver KruseManual testing
1970797950880957037527
88831751994553057498601195073329
B96213B3C5BF84__no
2022-01-24T08:20:04Ethan O'ConnorHighland2020
1970797950880957037527
88831751994553057498601195073329
1227402003319228348725041527104377980649
B96213B3C5BF8456no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 3088390743498060 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-01-24T08:20:04+00:00