A030671 Smallest extension of n-th prime which is a square.
25, 36, 529, 729, 1156, 1369, 1764, 196, 2304, 2916, 3136, 3721, 41209, 4356, 4761, 5329, 5929, 61009, 676, 71289, 7396, 7921, 83521, 89401, 97344, 101124, 103041, 107584, 109561, 113569, 12769, 131044, 137641, 13924, 149769, 15129
Offset: 1
Examples
For n=2, the second prime is 3, and 36 is the smallest square that begins with 3, so a(2) = 36. - _Michael B. Porter_, Sep 06 2016
Links
- Robert Israel, Table of n, a(n) for n = 1..10000
Programs
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Maple
A030666:= proc(x) local d; for d from 1 do if ceil(sqrt(10^d*x)) <= floor(sqrt(10^d*(x+1)-1)) then return ceil(sqrt(10^d*x))^2 fi od end proc: seq(A030666(ithprime(i)),i=1..100); # Robert Israel, Sep 05 2016
Formula
Extensions
Name edited by Robert Israel, Sep 06 2016