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Carmichael Numbers

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An odd composite number is called a Carmichael number if a^(n-1) ≡ 1 (mod n) for all integers a with (a, n) = 1. Show that 1729 = 7 x 13 x 19 is a Carmichael number.

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A number is proven to be a Carmichael number. The composite integers for odd numbers are examined.

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