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 A122210 Primes in A122209[n]. 2
 239087, 29194283, 13459558559, 2330212120559, 591302115428891, 1475383481009147, 6659290813076243, 78234869090622611, 134532153287171039, 1936272192837757871, 12491376574210826183, 25493310333833042507 (list; graph; refs; listen; history; text; internal format)
 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 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

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Last modified August 3 14:34 EDT 2021. Contains 346438 sequences. (Running on oeis4.)