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A214296 Primes that are the sum of distinct primes with prime subscripts. 4

%I #5 Jul 11 2012 21:14:28

%S 3,5,11,17,19,31,41,47,53,59,61,67,73,79,83,89,97,101,103,107,109,113,

%T 127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,

%U 223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311

%N Primes that are the sum of distinct primes with prime subscripts.

%C Same as primes in A185723.

%C Contains all primes > 96 because Dressler and Parker proved that every integer > 96 is a sum of distinct terms of A006450 (primes with prime subscripts).

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

%e Prime(Prime(1)) = Prime(2) = 3 is a member.

%e Since Prime(Prime(1)) + Prime(Prime(2)) + Prime(Prime(3)) = Prime(2) + Prime(3) + Prime(5) = 3 + 5 + 11 = 19 is prime, it is also a member.

%Y Cf. A006450, A185723, A185724, A213356.

%K nonn

%O 1,1

%A _Jonathan Sondow_, Jul 10 2012

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