A213356 Numbers that are not the sum of distinct primes with prime subscripts.

1, 2, 4, 6, 7, 9, 10, 12, 13, 15, 18, 21, 23, 24, 26, 27, 29, 30, 32, 35, 37, 38, 40, 43, 54, 65, 68, 71, 82, 85, 96

Offset: 1

Author

Jonathan Sondow, Jul 10 2012

Keywords

• full
• fini
• nonn

Comments

Same as numbers <= 96 that are not the sum of distinct primes 3, 5, 11, 17, 31, 41, 59, 67, 83 (= terms of A006450 <= 96), because Dressler and Parker prove that every integer > 96 is a sum of distinct terms of A006450 (primes with prime subscripts).

Examples

			Prime(Prime(1)) = Prime(2) = 3 and Prime(Prime(2)) = Prime(3) = 5, so 1, 2, and 4 are members, but 3, 5, and 3+5=8 are not.
		

Links

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

Crossrefs

Cf. A006450, A185723 (complement), A185724, A214296.