A214296 Primes that are the sum of distinct primes with prime subscripts.

3, 5, 11, 17, 19, 31, 41, 47, 53, 59, 61, 67, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311

Offset: 1

Author

Jonathan Sondow, Jul 10 2012

Keywords

• nonn

Comments

Same as primes in A185723.

Contains all primes > 96 because Dressler and Parker proved that every integer > 96 is a sum of distinct terms of A006450 (primes with prime subscripts).

Examples

			Prime(Prime(1)) = Prime(2) = 3 is a member.
Since Prime(Prime(1)) + Prime(Prime(2)) + Prime(Prime(3)) = Prime(2) + Prime(3) + Prime(5) = 3 + 5 + 11 = 19 is prime, it is also a member.
		

References

• R. E. Dressler and S. T. Parker, Primes with a prime subscript, J. ACM, 22 (1975), 380-381.

Crossrefs

Cf. A006450, A185723, A185724, A213356.