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A214296 Primes that are the sum of distinct primes with prime subscripts. 4
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified February 26 05:51 EST 2020. Contains 332277 sequences. (Running on oeis4.)