A145290 Numbers n such that prime[(n + 1)^2] - prime[n^2] is a perfect square.

2, 30, 32, 180, 269, 820, 1282, 1403, 2102, 2152, 2344, 2616, 4459, 6329, 6604, 7325, 7893, 9988, 10270, 10441, 10662, 11700, 11740, 11846, 12279, 18754, 18927, 23781, 27096, 27294, 27531, 31005, 33616, 36374, 38266, 43557, 43680, 44263, 45945

Offset

1,1

Comments

n such that A011757(n + 1) - A011757(n) is a perfect square

Links

Table of n, a(n) for n=1..39.

Example

n = 2, prime[(n + 1)^2] - prime[n^2]=23 - 7 = 16 = 4^2; n = 30, prime[(n + 1)^2] - prime[n^2]=7573 - 6997 = 576 = 24^2

Mathematica

Do[If[IntegerQ[Sqrt[Prime[(i + 1)^2] - Prime[i^2]]], Print[i]], {i, 1, 20000}]

Crossrefs

A011757 prime(n^2)

Sequence in context: A075716 A073418 A022377 * A343930 A127026 A105962

Adjacent sequences: A145287 A145288 A145289 * A145291 A145292 A145293

Keyword

nonn

Author

Zak Seidov, Oct 06 2008

Extensions

a(28)-a(39) from Donovan Johnson, Sep 16 2009

Status

approved