A069547 a(n) = n^2 mod n-th prime.

1, 1, 4, 2, 3, 10, 15, 7, 12, 13, 28, 33, 5, 24, 37, 44, 53, 19, 26, 45, 3, 10, 31, 42, 43, 70, 8, 35, 78, 109, 72, 107, 130, 44, 33, 88, 113, 140, 18, 43, 70, 135, 130, 6, 55, 126, 99, 74, 131, 210, 38, 75, 158, 155, 198, 243, 21, 112, 157, 228, 42, 35, 285, 53, 156, 235

Offset: 1

Author

Reinhard Zumkeller, Apr 17 2002

Keywords

• nonn

Comments

What is the origin of pattern at n~(6-7)*10^3 (see link to figure)? - Zak Seidov, Nov 22 2011

Links

• Zak Seidov, Table of n, a(n) for n = 1..10000
• Zak Seidov, Figure of dependence a(n) for n=1..10000

Crossrefs

Cf. A000040, A004648.

Programs

Mathematica

Table[ PowerMod[n, 2, Prime[n]], {n, 1, 70}]

PARI

vector(100, n, n^2 % prime(n)) \\ Michel Marcus, Jun 01 2015

Extensions

Edited and extended by Robert G. Wilson v, Apr 22 2002