A213356 - OEIS

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

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OFFSET

1,2

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).

LINKS

Table of n, a(n) for n=1..31.

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

EXAMPLE

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.

CROSSREFS

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

Sequence in context: A183569 A248612 A247000 * A079393 A047512 A026273

Adjacent sequences: A213353 A213354 A213355 * A213357 A213358 A213359

KEYWORD

full,fini,nonn

AUTHOR

Jonathan Sondow, Jul 10 2012

STATUS

approved