OFFSET
1,1
COMMENTS
The least k, such that prime(n) is the smallest prime p for which k^2 + p^2 is also prime, is in A263466.
LINKS
Stephan Baier and Liangyi Zhao, On Primes Represented by Quadratic Polynomials, Anatomy of Integers, CRM Proc. & Lecture Notes, Vol. 46, Amer. Math. Soc. 2008, pp. 169 - 166.
Étienne Fouvry and Henryk Iwaniec, Gaussian primes, Acta Arithmetica 79:3 (1997), pp. 249-287.
EXAMPLE
A263977(1) = 1, and 2 and 2^2 + 1^2 = 5 are prime, so a(1) = 2.
MATHEMATICA
f[n_] := Block[{p = 2}, While[! PrimeQ[n^2 + p^2] && p < 1500, p = NextPrime@ p]; If[p > 1500, 0, p]]; lst = {}; k = 1; While[k < 130, If[f@ k > 0, AppendTo[lst, f@ k]]; k++]; lst
CROSSREFS
KEYWORD
nonn
AUTHOR
Jonathan Sondow and Robert G. Wilson v, Oct 30 2015
STATUS
approved