A122210 Primes in A122209[n].

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

Offset

1,1

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,...}.

Links

Table of n, a(n) for n=1..12.

Formula

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

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}]

Crossrefs

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

Sequence in context: A236717 A238928 A234768 * A237396 A234547 A234709

Adjacent sequences: A122207 A122208 A122209 * A122211 A122212 A122213

Keyword

nonn

Author

Alexander Adamchuk, Aug 26 2006

Status

approved