A138677 Prime(n)^8 mod prime(n-1).

1, 1, 1, 2, 3, 3, 1, 5, 18, 24, 5, 9, 10, 4, 24, 46, 20, 42, 10, 43, 32, 45, 28, 4, 61, 54, 28, 42, 27, 16, 4, 65, 119, 64, 107, 43, 30, 10, 97, 132, 77, 34, 65, 109, 59, 8, 199, 197, 29, 42, 152, 17, 183, 175, 121, 98, 256, 229, 164, 256, 252, 210, 145, 256

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 3^8 = 1 mod 2
a(2)=2 because 5^8 = 1 mod 3
		

Crossrefs

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

Programs

Mathematica

Table[Mod[Prime[n]^8, Prime[n - 1]], {n, 2, 50}]
PowerMod[#[[2]],8,#[[1]]]&/@Partition[Prime[Range[70]],2,1] (* Harvey P. Dale, Nov 05 2014 *)

Extensions

More terms from Harvey P. Dale, Nov 05 2014