A finite, increasing sequence of integers such that

for , ..., , where indicates that divides . A Carmichael sequence has exclusive even or odd elements. There are infinitely many Carmichael sequences for every order.

Borwein, D.; Borwein, J. M.; Borwein, P. B.; and Girgensohn, R. "Giuga's Conjecture on Primality." Amer. Math. Monthly 103, 40-50, 1996.

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Weisstein, Eric W. "Carmichael Sequence." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/CarmichaelSequence.html