A246864 (n^4+1) mod prime(n).

0, 2, 2, 5, 10, 10, 5, 12, 7, 25, 10, 17, 26, 18, 7, 29, 37, 57, 7, 38, 10, 22, 49, 74, 7, 53, 65, 49, 90, 17, 105, 53, 50, 130, 47, 44, 53, 41, 158, 120, 68, 126, 93, 37, 71, 156, 96, 125, 137, 133, 47, 129, 142, 181, 141, 138, 173, 79, 274, 0, 67, 54, 178, 11

Offset

1,2

Comments

Let p be a prime: n^4+1 == 0 (mod p) if p = 2 or p == 1 (mod 8).

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Mathematica

Table[Mod[n^4 + 1, Prime[n]], {n, 70}]

Prog

(Magma) [(n^4+1) mod NthPrime(n): n in [1..70]];
(PARI) a(n)=(n^4+1)%prime(n) \\ Edward Jiang, Sep 05 2014

Crossrefs

Cf. A000040.

Sequence in context: A273964 A223062 A208788 * A262924 A331540 A329676

Adjacent sequences: A246861 A246862 A246863 * A246865 A246866 A246867

Keyword

nonn

Author

Vincenzo Librandi, Sep 05 2014

Status

approved