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.
Carmichael Sequence
See also
Giuga SequenceExplore with Wolfram|Alpha
References
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 SequenceCite this as:
Weisstein, Eric W. "Carmichael Sequence." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CarmichaelSequence.html