A212294 Sums of (zero or more) distinct twin primes.

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

Offset

1,2

Comments

Assuming a Bertrand-like result for twin primes, that for every n > 3 there is a prime n < p < 2n such that either p-2 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