

A273862


The successive numbers of digits visible between two prime terms are given by the sequence itself.


0



0, 1, 2, 3, 4, 5, 6, 8, 7, 9, 10, 11, 12, 14, 13, 15, 100, 17, 16, 18, 20, 19, 21, 22, 24, 25, 23, 26, 27, 102, 29, 28, 30, 32, 104, 31, 33, 34, 35, 36, 38, 37, 39, 40, 42, 44, 105, 41, 45, 46, 48, 49, 50, 51, 43, 52, 54, 55, 56, 57, 58, 60, 47, 62, 63, 64, 65, 66, 106, 53, 68, 69, 70, 72, 74, 75, 108, 59, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 110, 111, 112, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 128, 129, 130, 132, 61
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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.


LINKS

Table of n, a(n) for n=1..119.


EXAMPLE

The first two primes that appear in the sequence are 2 and 3; between 2 and 3 there are 0 digits and this 0 corresponds to the starting 0 of the sequence.
The next prime is 5 and between 3 and 5 there is 1 digit [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 digits [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 digits [which are 9, 1 and 0] and this 3 corresponds to the next term of the sequence.
The next prime is 13 and between 11 and 13 there are 4 digits [which are 1, 2, 1 and 4] and this 4 corresponds to the next term of the sequence.
The next prime is 17 and between 13 and 17 there are 5 digits [which are 1, 5, 1, 0 and 0] and this 5 corresponds to the next term of the sequence.
Etc.


CROSSREFS

Sequence in context: A122311 A130986 A235487 * A345101 A127382 A085170
Adjacent sequences: A273859 A273860 A273861 * A273863 A273864 A273865


KEYWORD

nonn,base


AUTHOR

Eric Angelini, Jun 01 2016


STATUS

approved



