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A185724 Primes that are not the sum of distinct primes with prime subscripts. 4

%I #13 Jul 11 2012 14:57:27

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

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

%C Same as primes in A213356.

%C 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).

%H R. E. Dressler and S. T. Parker, <a href="http://dx.doi.org/10.1145/321892.321900">Primes with a prime subscript</a>, J. ACM 22 (1975) 380-381.

%e 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.

%Y Cf. A006450, A185723, A213356, A214296.

%K nonn,fini,full

%O 1,1

%A _Jonathan Sondow_, Jul 10 2012

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