Carmichael Condition

A number n satisfies the Carmichael condition iff (p-1)|(n/p-1) for all prime divisors p of n. This is equivalent to the condition (p-1)|(n-1) for all prime divisors p of n.

See also

Carmichael Number

Explore with Wolfram|Alpha


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

Referenced on Wolfram|Alpha

Carmichael Condition

Cite this as:

Weisstein, Eric W. "Carmichael Condition." From MathWorld--A Wolfram Web Resource.

Subject classifications