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.
- Lukács Theorem
- Lune (Plane)
- Lune (Solid)
- Lune (Surface)
- Lunule
- Lusin's Theorem
- LUX Method
- Lyapunov Characteristic Exponent
- Lyapunov Characteristic Number
- Lyapunov Condition
- Lyapunov Dimension
- Lyapunov Function
- Lyapunov's First Theorem
- Lyapunov's Second Theorem
- Lyndon Word
- Lyons Group
- Léon Anne's Theorem
- Lévy Constant
- Lévy Distribution
- Lévy Flight
- Lévy Fractal
- Lévy Function
- Lévy Tapestry
- Löwenheim-Skolem Theorem
- Lüroth's Theorem