A214296 - OEIS

A214296

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

3, 5, 11, 17, 19, 31, 41, 47, 53, 59, 61, 67, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311

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OFFSET

1,1

COMMENTS

Same as primes in A185723.

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).

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..56.

EXAMPLE

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

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.

CROSSREFS

Cf. A006450, A185723, A185724, A213356.

Sequence in context: A125631 A045408 A092740 * A045409 A191206 A191141

Adjacent sequences: A214293 A214294 A214295 * A214297 A214298 A214299

KEYWORD

nonn

AUTHOR

Jonathan Sondow, Jul 10 2012

STATUS

approved