A185724 - OEIS

A185724

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

2, 7, 13, 23, 29, 37, 43, 71

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Same as primes in A213356.

Same as primes < 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..8.

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 and Prime(Prime(3)) = Prime(5) = 11, so 2 and 7 are members.

CROSSREFS

Cf. A006450, A185723, A213356, A214296.

Sequence in context: A360135 A010895 A045376 * A366983 A045377 A180470

Adjacent sequences: A185721 A185722 A185723 * A185725 A185726 A185727

KEYWORD

nonn,fini,full

AUTHOR

Jonathan Sondow, Jul 10 2012

STATUS

approved