A084676 Position of the first zero in the decimal expansion of the square root of the n-th prime.

14, 5, 5, 11, 10, 3, 6, 13, 26, 9, 13, 2, 3, 12, 9, 4, 15, 4, 24, 19, 5, 19, 4, 11, 9, 1, 1, 1, 1, 1, 23, 18, 4, 40, 4, 7, 9, 13, 14, 16, 6, 9, 5, 16, 3, 4, 9, 12, 3, 11, 18, 14, 14, 27, 3, 11, 4, 6, 12, 6, 7, 34, 48, 9, 7, 4, 7, 11, 9, 16, 12, 50, 9, 7, 18, 5, 6, 34, 1, 1, 1, 1, 1, 1, 1, 3, 8

Offset: 1

Author

Cino Hilliard, Jun 29 2003

Keywords

• easy
• nonn
• base

Examples

			sqrt(1213) = 34.82814953453599722269575212191436263382649518168323557106085786016708, first zero is at position 57.
		

Crossrefs

Cf. A074850.

Programs

PARI

\ zeros in sqrt(p) where p is prime. frootp(n) = { default(realprecision,100); forprime(x=2,n, r = sqrt(x); \ print(x" "r); v = Vec(Str(r)); c=-1; for(y=1,100, c++; if(v[y] == "0",print1(c","); break) ) ) }