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

Author

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

Keywords

• nonn

Links

• 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.