A122210 Primes in A122209[n].

239087, 29194283, 13459558559, 2330212120559, 591302115428891, 1475383481009147, 6659290813076243, 78234869090622611, 134532153287171039, 1936272192837757871, 12491376574210826183, 25493310333833042507

Offset: 1

Author

Alexander Adamchuk, Aug 26 2006

Keywords

• nonn

Comments

Sum of squares of the first n^2 primes is A122209[n] = A024450[n^2] = {4,87,1556,13275,65796,239087,710844,1789395,4083404,8384727,16156884,29194283,...}. Corresponding numbers n such that A122209[n] is prime are listed in A122211[n] = {6,12,30,66,156,180,228,336,366,558,750,840,894,978,...}.

Crossrefs

Cf. A122209, A122211, A024450, A098561, A098562.

Programs

Mathematica

s=0;Do[p=Prime[n];k=Sqrt[n];s=s+p*p;If[PrimeQ[s]&&IntegerQ[k],Print[{k,n,s}]],{n,1,10^7}]

Formula

a(n) = A122209[ A122211(n) ] = A024450[ A122211(n)^2 ].