let n=1105, so n-1=2^4(69) Compute the values of

2^69(mod1105), 2^2*69(mod 1105), 2^4*69(mod1105), 2^8*69(mod1105),

Use the Rabin Miller test to conclue that n is composite....

Where do I begin and how?

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- Jun 11th 2008, 02:42 PMduggaboyreduction mod
let n=1105, so n-1=2^4(69) Compute the values of

2^69(mod1105), 2^2*69(mod 1105), 2^4*69(mod1105), 2^8*69(mod1105),

Use the Rabin Miller test to conclue that n is composite....

Where do I begin and how? - Jun 11th 2008, 11:24 PMCaptainBlack
In the Rabin-Miller test for the (pseudo) primality of we have and

So is a witness to the primallity of if:

and

So if you compute the values asked for and the first is not congruent to and the others are not congruent to , then is a witness to the compositness of . (In fact if the conditions hold then 1105 is certainly composite, if they fail 1105 is probably prime)

RonL - Jun 12th 2008, 10:53 AMduggaboy
http://www.mathhelpforum.com/math-he...c4468b91-1.gif

Can you explain the last part of this to me? - Jun 12th 2008, 02:05 PMCaptainBlack