A138679 Prime(n)^10 mod prime(n-1).

1, 1, 4, 4, 1, 9, 4, 4, 4, 9, 25, 33, 40, 21, 18, 13, 21, 48, 26, 30, 57, 9, 12, 78, 6, 14, 36, 61, 105, 85, 64, 113, 65, 6, 130, 38, 138, 160, 152, 81, 129, 142, 69, 7, 39, 157, 171, 30, 116

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 3^10 = 1 mod 2
a(2)=2 because 5^10 = 1 mod 3
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 2..1000

Crossrefs

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

Programs

Mathematica

Table[Mod[Prime[n]^10, Prime[n - 1]], {n, 2, 50}]
PowerMod[Last[#],10,First[#]]&/@Partition[Prime[Range[50]],2,1] (* Harvey P. Dale, Apr 17 2014 *)