A174716 Averages of twin prime pairs of the form : sum of two or more consecutive squares.

30, 1230, 1290, 1482, 2730, 3390, 3930, 4092, 4230, 5520, 8010, 8970, 13680, 16830, 17190, 19890, 20982, 22092, 22110, 27690, 36528, 37812, 41202, 60102, 71340, 81930, 96330, 97650, 98010, 108960, 110880, 111270, 116790, 121632, 129402

Offset

1,1

Comments

1^2+2^2+3^2+4^2=30, 14^2+15^2+16^2+17^2+18^2=1230,..

If the average is allowed to be the sum of one or more consecutive squares, then there is one additional term 4 = 2^2. - Chai Wah Wu, Feb 03 2016

Links

Chai Wah Wu, Table of n, a(n) for n = 1..12411

Mathematica

mx=600; mz=mx^2+(mx+1)^2; lst={}; Do[p=q^2; Do[p+=n^2; If[PrimeQ[p-1]&&PrimeQ[p+1], If[p>mz, Break[]]; AppendTo[lst, p]], {n, q+1, mx+1}], {q, 1, mx}]; Union@lst

Crossrefs

Cf. A014574

Sequence in context: A269682 A269471 A060076 * A163521 A273416 A002456

Adjacent sequences: A174713 A174714 A174715 * A174717 A174718 A174719

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Mar 27 2010

Extensions

Definition clarified by Chai Wah Wu, Feb 03 2016

Status

approved