A177806 Triangle read by rows: T(n,k) = prime(k)^(n-1) mod prime(n), 1 <= k <= n.

1, 2, 0, 4, 4, 0, 1, 6, 6, 0, 5, 4, 9, 3, 0, 6, 9, 5, 11, 7, 0, 13, 15, 2, 9, 8, 16, 0, 14, 2, 16, 7, 11, 10, 5, 0, 3, 6, 16, 12, 8, 2, 18, 9, 0, 19, 21, 4, 20, 2, 5, 17, 11, 7, 0, 1, 25, 5, 25, 5, 5, 25, 25, 1, 1, 0, 13, 28, 2, 12, 27, 15, 32, 20, 29, 23, 6, 0, 37, 40, 16, 31, 23, 4, 23, 31, 37, 25, 18, 16, 0

Offset: 1

Author

Juri-Stepan Gerasimov, Dec 12 2010

Keywords

• nonn
• tabl

Comments

First column is A175036.

Examples

			Triangle begins:
  1;
  2, 0;
  4, 4, 0;
  1, 6, 6, 0;
  5, 4, 9, 3, 0;
		

Crossrefs

Cf. A000079, A177226.

Programs

Maple

A177806 := proc(n,k) modp((ithprime(k))^(n-1), ithprime(n)) ; end proc:
seq(seq(A177806(n,k),k=1..n),n=1..15) ;

Mathematica

Table[PowerMod[Prime[Range[n]], n-1, Prime[n]], {n, 15}] (* Paolo Xausa, Jun 29 2024 *)