A138675 Prime(n)^6 mod prime(n-1).

1, 1, 4, 1, 9, 1, 13, 11, 12, 6, 1, 26, 23, 11, 32, 16, 5, 52, 9, 64, 9, 67, 10, 39, 22, 64, 79, 64, 63, 7, 32, 20, 64, 34, 64, 148, 27, 21, 63, 119, 64, 156, 64, 43, 64, 188, 123, 82, 64

Offset: 2

Author

Artur Jasinski, Mar 26 2008

Keywords

• nonn

Comments

Related sequences type prime(n)^k mod prime(n-1) (k=1,2,3,4)

prime(n) mod prime(n-1) is given in A001223

prime(n)^2 mod prime(n-1) is given in A038702

prime(n)^3 mod prime(n-1) is given in A138672

prime(n)^4 mod prime(n-1) is given in A138673

prime(n)^5 mod prime(n-1) is given in A138674

prime(n)^6 mod prime(n-1) is given in A138675

prime(n)^7 mod prime(n-1) is given in A138676

prime(n)^8 mod prime(n-1) is given in A138677

prime(n)^9 mod prime(n-1) is given in A138678

prime(n)^10 mod prime(n-1) is given in A138679

prime(n)^11 mod prime(n-1) is given in A138680

prime(n)^12 mod prime(n-1) is given in A138681

Examples

			a(1)=1 because 3^6 = 729 = 1 mod 2
a(2)=2 because 5^6 = 15625 = 1 mod 3
		

Crossrefs

Cf. A001223, A038702, A138672, A138673, A138674, A138675, A138676, A138677, A138678, A138679, A138680, A138681.

Programs

Mathematica

Table[Mod[Prime[n]^6, Prime[n - 1]], {n, 2, 50}]