A185723 Numbers that are the sum of distinct primes with prime subscripts.

3, 5, 8, 11, 14, 16, 17, 19, 20, 22, 25, 28, 31, 33, 34, 36, 39, 41, 42, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 66, 67, 69, 70, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 83, 84, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 97

Offset: 1

Author

Jonathan Sondow, Jul 10 2012

Keywords

• nonn

Comments

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

The complement is A213356.

Examples

			Prime(Prime(1)) + Prime(Prime(2)) + Prime(Prime(3)) = Prime(2) + Prime(3) + Prime(5) = 3 + 5 + 11 = 19 is a member.
		

References

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

Crossrefs

Cf. A006450, A185724, A213356, A214296.