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A273859 The successive numbers of integers visible between two primes are given by the sequence itself. 0

%I

%S 0,1,2,3,4,5,6,8,7,9,10,12,11,14,15,16,18,13,20,21,22,24,25,17,26,27,

%T 28,30,32,33,19,34,35,36,38,39,40,42,44,23,45,46,48,49,50,51,52,29,54,

%U 55,56,57,58,60,62,63,64

%N The successive numbers of integers visible between two primes are given by the sequence itself.

%C The sequence starts with a(1)=0. It is then extended with the smallest integer not yet present and not leading to a contradiction. This sequence is a permutation of the integers >=0

%e The first two primes that appear in the sequence are 2 and 3; between 2 and 3 there are 0 integers and this 0 corresponds to the starting 0 of the sequence.

%e The next prime is 5 and between 3 and 5 there is 1 integer [which is 4] and this 1 corresponds to the next term of the sequence.

%e The next prime is 7 and between 5 and 7 there are 2 integers [which are 6 and 8] and this 2 corresponds to the next term of the sequence.

%e The next prime is 11 and between 7 and 11 there are 3 integers [which are 9, 10 and 12] and this 3 corresponds to the next term of the sequence.

%e The next prime is 13 and between 11 and 13 there are 4 integers [which are 14, 15, 16 and 18] and this 4 corresponds to the next term of the sequence.

%e Etc.

%K nonn,base

%O 1,3

%A _Eric Angelini_, Jun 01 2016

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Last modified October 27 20:17 EDT 2021. Contains 348290 sequences. (Running on oeis4.)