A181505 Primes such that the sum of all primes squared up to itself is a prime.

3, 61, 101, 151, 337, 397, 827, 929, 971, 1033, 1163, 1301, 1321, 1487, 1693, 1877, 1931, 2273, 2311, 2393, 2657, 2777, 2861, 2957, 3571, 3697, 3709, 3739, 3851, 3907, 3947, 4519, 5077, 5087, 5981, 6659, 6709, 6803, 6827, 6971, 6997, 7121, 7499, 7681

Offset

1,1

Comments

The closest terms are 5077 and 5087 differing 10 units.

Links

James C. McMahon, Table of n, a(n) for n = 1..10000

Example

3 is a term since 2^2 + 3^2 = 13 is prime.

Mathematica

Select[Prime[Range[1000]], PrimeQ[Total[Prime[Range[PrimePi[#]]]^2]]&] (* James C. McMahon, May 18 2026 *)

Crossrefs

Cf. A000040, A001248.

Sequence in context: A128075 A106883 A037209 * A105430 A141979 A185831

Adjacent sequences: A181502 A181503 A181504 * A181506 A181507 A181508

Keyword

nonn

Author

Carmine Suriano, Oct 24 2010

Extensions

Corrected (337 and 2393 inserted) by R. J. Mathar, Oct 29 2010

Status

approved