A317244 For n >= 3, smallest prime number N such that for every prime p >= N, every element in Z_p can be expressed as a sum of two n-gonal numbers mod p, without allowing zero as a summand.

11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 13, 11, 11, 11, 11, 11, 11, 11, 23, 11, 11, 13, 29, 11, 11, 11, 11, 11, 11, 11, 37, 11, 13, 11, 11, 11, 11, 23, 11, 11, 11, 11, 47, 13, 11, 29, 53, 11, 11, 11, 11, 11, 11, 11, 13, 11, 23, 11, 61, 11, 11, 37, 11, 11, 11, 13, 71, 11, 29, 11, 73, 11, 11, 11, 11, 23, 13, 11, 83, 11, 11, 11, 89, 11, 11, 47, 11, 13, 11, 11, 11, 29, 37, 53, 23, 11

Offset

3,1

Links

Table of n, a(n) for n=3..99.

Joshua Harrington, Lenny Jones, and Alicia Lamarche, Representing Integers as the Sum of Two Squares in the Ring Z_n, Journal of Integer Sequences, Vol. 17 (2014), Article 14.7.4.

Bernard M. Moore and H. Joseph Straight, Pythagorean triples in multiplicative groups of prime power order, Pi Mu Epsilon Journal, vol. 14, no. 3, 2015, pp. 191-198.

Crossrefs

Sequence in context: A112122 A290856 A010850 * A113587 A083971 A240453

Adjacent sequences: A317241 A317242 A317243 * A317245 A317246 A317247

Keyword

nonn

Author

Theresa Baren, James Hammer, Joshua Harrington, Ziyu Liu, Sean E. Rainville, Melea Roman, Hongkwon V. Yi, Jul 24 2018

Status

approved