|
Search: id:A122210
|
|
| |
|
| 239087, 29194283, 13459558559, 2330212120559, 591302115428891, 1475383481009147, 6659290813076243, 78234869090622611, 134532153287171039, 1936272192837757871, 12491376574210826183, 25493310333833042507
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
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,...}.
|
|
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: A160920 A122474 A048423 this_sequence A015345 A127881 A134857
Adjacent sequences: A122207 A122208 A122209 this_sequence A122211 A122212 A122213
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 26 2006
|
|
|
Search completed in 0.002 seconds
|
