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A174716 Averages of twin prime pairs of the form : sum of two or more consecutive squares. 3

%I #7 Feb 04 2016 03:22:14

%S 30,1230,1290,1482,2730,3390,3930,4092,4230,5520,8010,8970,13680,

%T 16830,17190,19890,20982,22092,22110,27690,36528,37812,41202,60102,

%U 71340,81930,96330,97650,98010,108960,110880,111270,116790,121632,129402

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

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

%C 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

%H Chai Wah Wu, <a href="/A174716/b174716.txt">Table of n, a(n) for n = 1..12411</a>

%t 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

%Y Cf. A014574

%K nonn

%O 1,1

%A _Vladimir Joseph Stephan Orlovsky_, Mar 27 2010

%E Definition clarified by _Chai Wah Wu_, Feb 03 2016

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Last modified April 23 16:38 EDT 2024. Contains 371916 sequences. (Running on oeis4.)