

A273859


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


0



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, 28, 30, 32, 33, 19, 34, 35, 36, 38, 39, 40, 42, 44, 23, 45, 46, 48, 49, 50, 51, 52, 29, 54, 55, 56, 57, 58, 60, 62, 63, 64
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OFFSET

1,3


COMMENTS

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


LINKS

Table of n, a(n) for n=1..57.


EXAMPLE

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.
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.
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.
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.
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.
Etc.


CROSSREFS

Sequence in context: A122349 A127388 A307032 * A332073 A117332 A242704
Adjacent sequences: A273856 A273857 A273858 * A273860 A273861 A273862


KEYWORD

nonn,base


AUTHOR

Eric Angelini, Jun 01 2016


STATUS

approved



