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单词 Giuga Sequence
释义

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. Itis possible to generate longer Giuga sequences from shorter ones satisfying certain properties.

See also Carmichael Sequence


References

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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