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A212294 Sums of (zero or more) distinct twin primes. 1

%I #10 Jun 22 2012 15:44:38

%S 0,3,5,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,

%T 29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,

%U 52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74

%N Sums of (zero or more) distinct twin primes.

%C 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.

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

%Y Cf. A208572.

%K nonn

%O 1,2

%A _Charles R Greathouse IV_, Jun 21 2012

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Last modified April 25 11:34 EDT 2024. Contains 371967 sequences. (Running on oeis4.)