A138680 Prime(n)^11 mod prime(n-1).

1, 2, 3, 2, 2, 10, 8, 16, 1, 18, 26, 21, 39, 41, 14, 25, 42, 44, 37, 60, 50, 36, 72, 1, 24, 28, 41, 15, 93, 60, 2, 23, 130, 60, 111, 77, 43, 151, 77, 140, 79, 153, 138, 28, 78, 93, 153, 120, 5

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 3^11 = 1 mod 2
a(2)=2 because 5^11 = 2 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]^11, Prime[n - 1]], {n, 2, 50}]
PowerMod[Last[#],11,First[#]]&/@Partition[Prime[Range[100]],2,1] (* Harvey P. Dale, Apr 04 2013 *)