[seqfan] Re: Differenes of conscutive primes

Richard Mathar mathar at strw.leidenuniv.nl
Thu Jan 13 20:46:19 CET 2011


vp> From seqfan-bounces at list.seqfan.eu Thu Jan 13 20:05:16 2011
vp> From: "Veikko Pohjola" 
vp> To: "Sequence Fanatics Discussion list" <seqfan at list.seqfan.eu>
vp> Consider the halved differences of consecutive primes (Prime[k+1]-Prime[k])/2, k=2,3,4,.,K. Remove the duplicates and sort to obtain an ordered set {1,2,3,.,a(i)}of all natural numbers from 1 to a(i). The allowed numbers a(i) make up the following sequence: a(i) = 1, 2, 3, 4, 7, 17, 18,. 

My impression from http://oeis.org/A000230 is that this sequence of halved
prime gaps is dense, and does not miss numbers in the range 8 to 16.

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