A160358 Indices of primes in A133547, i.e., numbers n such that the sum of the squares of the first n odd primes is prime.

3, 5, 9, 11, 23, 29, 63, 65, 71, 95, 141, 159, 161, 173, 179, 183, 209, 219, 255, 299, 323, 341, 365, 371, 389, 393, 453, 485, 521, 567, 579, 605, 623, 633, 635, 639, 677, 701, 711, 723, 725, 747, 785, 827, 867, 945, 981, 993, 999, 1001, 1013, 1035, 1037, 1041

Offset

1,1

Comments

All terms are necessarily odd. Thus one could also consider the sequence floor(a(n)/2) = (1,2,4,5,11,14,31,32,35,...). Other possible variations would be to list the index a(n)+1 of the largest prime in that sum, or, since this is always even, (a(n)+1)/2 = (2,3,5,6,12,15,32,33,36,...).

Links

Table of n, a(n) for n=1..54.

Formula

A160359(n) = A133547(a(n)) = A024450(a(n)+1) - 4.

Prog

(PARI) s=0; for( i=2, 1999, isprime(s+=prime(i)^2) & print1(i-1, ", "))

Crossrefs

Cf. A098561, A133547.

Sequence in context: A256220 A163778 A328643 * A319084 A120806 A020946

Adjacent sequences: A160355 A160356 A160357 * A160359 A160360 A160361

Keyword

nonn

Author

M. F. Hasler, May 18 2009

Status

approved