A273862 The successive numbers of digits visible between two prime terms are given by the sequence itself.

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

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