A065145 Smallest prime that begins with the n-th square in decimal notation.

11, 41, 97, 163, 251, 367, 491, 641, 811, 1009, 1213, 1447, 1693, 19603, 2251, 25601, 2897, 32401, 3613, 4001, 44101, 48407, 5297, 57601, 6257, 6761, 7297, 7841, 8419, 9001, 9613, 10243, 10891, 115601, 12251, 12967, 13691, 14447, 15217, 16001

Offset: 1

Author

Reinhard Zumkeller, Oct 17 2001

Keywords

• base
• nonn

Links

• Robert Israel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A030665, A062584, A000290, A000040, A065144.

Programs

Maple

f:= proc(n) local d,m,r;
  for d from 1 do
   for m from 1 to 10^d-1 by 2 do
    r:= 10^d*n^2 + m;
    if isprime(r) then return r fi
  od od
end proc:
map(f, [$1..100]); # Robert Israel, May 16 2018

Formula

a(n) = A030665(n^2). - Robert Israel, May 16 2018