

A212294


Sums of (zero or more) distinct twin primes.


1



0, 3, 5, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74
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OFFSET

1,2


COMMENTS

Assuming a Bertrandlike result for twin primes, that for every n > 3 there is a prime n < p < 2n such that either p2 or p+2 is prime, the only missing terms are 1, 2, 4, 6, and 9.


LINKS

Table of n, a(n) for n=1..70.


FORMULA

Conjecturally, a(n) = n+4 for n > 5. This holds at least up to 2^500.


CROSSREFS

Cf. A208572.
Sequence in context: A183054 A188569 A274140 * A299495 A186689 A186350
Adjacent sequences: A212291 A212292 A212293 * A212295 A212296 A212297


KEYWORD

nonn


AUTHOR

Charles R Greathouse IV, Jun 21 2012


STATUS

approved



