A306636 a(n) is the smallest number s such that a diagonal form of degree n in s variables with (rational) integer coefficients is guaranteed to have a nontrivial zero in the p-adic fields for all primes p.

2, 5, 7, 17, 16, 37, 22, 39, 37, 101, 45, 145, 53, 71, 61, 257, 52, 325, 58, 241, 106, 485, 116, 289, 101, 157, 109, 785, 146, 901, 125

Offset

1,1

Links

Table of n, a(n) for n=1..31.

Michael P. Knapp, Exact values of the function Gamma*(k), Journal of Number Theory, Volume 131, Issue 10, October 2011, Pages 1901-1911.

Formula

a(n) <= n^2+1 with equality if n+1 is prime.

Crossrefs

Sequence in context: A067161 A281794 A193462 * A101150 A276322 A337986

Adjacent sequences: A306633 A306634 A306635 * A306637 A306638 A306639

Keyword

nonn,more

Author

Michel Marcus, Mar 02 2019

Status

approved