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

Author

Charles R Greathouse IV, Jun 21 2012

Keywords

• nonn

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.

Crossrefs

Cf. A208572.

Formula

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