mersenneforum.org Lucas-Lehmer Test proof
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 2005-12-25, 16:30 #12 R. Gerbicz     "Robert Gerbicz" Oct 2005 Hungary 5×17×19 Posts There were many many errors on Lucas-Lehmer sequence on mersennewiki. I have redefined the sequence by S(0)=4 ( and S(n)=S(n-1)^2-2 ). If you look the proof: 0 is very good starting index for the sequence. From mersennewiki: ""The value of S0 has about 2 (= 2^1) bits "" It means that the starting index is zero! ""Lucas-Lehmer number denoted Sn where S1 = 4 and Sn = (Sn-1)^2 − 2 ."" So the starting index is one!! ""So that where S3 = 14, S4 = 14^2 - 2 = 194, and S5 = 194^2 - 2 = 37634."" If you define S(3)=14 then S(2)=4, so here the starting index is two!!! So there were 3 definitions for the same Lucas sequence!!! I've corrected these errors.
 2006-03-17, 22:26 #13 KickBoxer   Mar 2006 38 Posts help on lucas hi there i just want to ask u all is there any free code for lucas that i can use in cryptography as a tool. or if u know where to find the source code or the algorithm of it. if u know please just send it to my email (homam.eltaj@gmail.com) yours Homam thanks all
2006-03-17, 23:11   #14
R.D. Silverman

"Bob Silverman"
Nov 2003
North of Boston

22·1,877 Posts

Quote:
 Originally Posted by KickBoxer hi there i just want to ask u all is there any free code for lucas that i can use in cryptography as a tool. or if u know where to find the source code or the algorithm of it. if u know please just send it to my email (homam.eltaj@gmail.com) yours Homam thanks all
While free code may exist (You can get it from the mersenne.org website)
it is useless for any cryptographic purpose. It has no use whatsoever.

 2006-03-18, 06:33 #15 KickBoxer   Mar 2006 3 Posts Sorry Sorry but I'm new here i don't know how to use this site any way thanks a lot and for lucas there is a big usage of it in cryptographic cause I'm working on it and there is a lot more so i just want to make the library of it to be as a tool in program but u know if there is a code of this library i will save time so again if u know the link please just let me know thanks Warmest Regards
2006-03-18, 07:15   #16
ColdFury

Aug 2002

14016 Posts

Quote:
 and for lucas there is a big usage of it in cryptographic cause I'm working on it and there is a lot more so i just want to make the library of it to be as a tool in program but u know if there is a code of this library i will save time
The Lucas-Lehmer test has absolutely no cryptographic applications. Perhaps you're confusing with something else.

 2006-03-18, 07:23 #17 KickBoxer   Mar 2006 3 Posts may be yes may be yes iimm talking about the lucas numbers wich they are a part of the Fibonacci because i need to use the set of Lucas in my project and sorry i know that there is some types of Lucas such as the TriLucas and others but i need the basic algorithm of the Lucas to use it as a Library in my Project thats all thanks a lot yours

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