Talk:Carmichael number: Difference between revisions

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imported>Louise Valmoria
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imported>Richard Pinch
(CN vs Euler psp: 2821 is counterexample)
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==Carmichael numbers / Euler pseudoprimes==
I'm not sure why it's asserted that every CN is an [[Euler pseudoprime]].  2821 is a counterexample base 2, since 2^2821 == 1520 mod 2821, but 2821=7.13.31, lambda(2821) = lcm{6,12.30} = 60 and 60 | 2820.  [[User:Richard Pinch|Richard Pinch]] 19:01, 22 October 2008 (UTC)

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 Definition:  A composite number c such that ac−1 ≡ 1 (mod c) for all a that are coprime with c. [d] [e]
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Carmichael numbers / Euler pseudoprimes

I'm not sure why it's asserted that every CN is an Euler pseudoprime. 2821 is a counterexample base 2, since 2^2821 == 1520 mod 2821, but 2821=7.13.31, lambda(2821) = lcm{6,12.30} = 60 and 60 | 2820. Richard Pinch 19:01, 22 October 2008 (UTC)

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