TOPICS
Giuga Sequence
A finite, increasing sequence of integers 
such that
 |
A sequence is a Giuga sequence iff it satisfies
 |
for 
,
..., 
.
There are no Giuga sequences of length 2, one of length 3 (
), two of length 4 (
and 
), 3 of length 5 (
, 
, and 
), 17 of length 6, 27 of length 7, and hundreds
of length 8. There are infinitely many Giuga sequences. It is possible to generate
longer Giuga sequences from shorter ones satisfying certain properties.
See also
Carmichael 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
Giuga SequenceCite this as:
Weisstein, Eric W. "Giuga Sequence." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/GiugaSequence.html