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

1,1

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.

References

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

Links

Table of n, a(n) for n=1..66.

Example

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

Crossrefs

Cf. A006450, A185724, A213356, A214296.

Sequence in context: A047622 A240603 A079392 * A022852 A180124 A095375

Adjacent sequences: A185720 A185721 A185722 * A185724 A185725 A185726

Keyword

nonn

Author

Jonathan Sondow, Jul 10 2012

Status

approved