A138674 a(n) = prime(n)^5 mod prime(n-1).

1, 2, 2, 2, 10, 10, 15, 17, 2, 3, 26, 25, 32, 35, 21, 38, 32, 29, 19, 32, 38, 76, 57, 16, 54, 32, 97, 32, 43, 57, 8, 47, 32, 59, 32, 75, 83, 46, 94, 164, 32, 88, 32, 59, 32, 82, 63, 132, 32, 108, 87, 32, 226, 246, 66, 149, 32, 188, 193, 32, 101, 169, 103, 32, 85

Offset

2,2

Links

Andrew Howroyd, Table of n, a(n) for n = 2..10000

Example

a(1) = 1 because 3^5 = 243 = 1 mod 2.
a(2) = 2 because 5^5 = 3125 = 2 mod 3.

Mathematica

Table[Mod[Prime[n]^5, Prime[n - 1]], {n, 2, 50}]

Prog

(PARI) a(n) = lift(Mod(prime(n), prime(n-1))^5) \\ Andrew Howroyd, Oct 29 2025

Crossrefs

Cf. prime(n)^k mod prime(n-1): A001223, A038702, A138672, A138673, this sequence (k=5), A138675, A138676, A138677, A138678, A138679, A138680, A138681.

Sequence in context: A152681 A215603 A284563 * A351174 A254706 A353261

Adjacent sequences: A138671 A138672 A138673 * A138675 A138676 A138677

Keyword

nonn

Author

Artur Jasinski, Mar 26 2008

Extensions

a(51) onward from Andrew Howroyd, Oct 29 2025

Status

approved