A138681 Prime(n)^12 mod prime(n-1).

1, 1, 1, 1, 4, 1, 16, 7, 6, 7, 1, 10, 37, 35, 37, 44, 25, 20, 14, 49, 8, 65, 17, 8, 96, 56, 61, 30, 45, 49, 8, 7, 123, 44, 73, 9, 101, 115, 128, 148, 158, 82, 85, 112, 156, 121, 148, 34, 10

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 3^12 = 1 mod 2
a(2)=2 because 5^12 = 1 mod 3
		

Crossrefs

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

Programs

Mathematica

Table[Mod[Prime[n]^12, Prime[n - 1]], {n, 2, 50}]