A088224 Numbers that fill in the gaps between primes in a list of twin primes.

4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 37, 38, 39, 40, 42, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 67, 68, 69, 70, 72, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88

Offset

3,1

Comments

Used the PARI script plus manually inserted the non-twin-prime primes.

Links

Table of n, a(n) for n=3..73.

Formula

List the twin primes: 3 5 7 11 13 17 19 29 31 41 43 59 61 ... Then list the numbers between the primes formed by this list to make a list of consecutive integers.

Example

For the twin prime listing 3 5 7 11
4 between 3 and 5
6 between 5 and 7
8,9,10 between 7 and 11
so 4 6 8 9 10 are in the sequence.

Prog

(PARI) isonum(n) = { for(x=1, n, p1 = prime(x); p2 = prime(x+1); for(y=p1+1, p2-1, print1(y", ") ) ) }

Crossrefs

Sequence in context: A167376 A133576 A192607 * A002808 A018252 A141468

Adjacent sequences: A088221 A088222 A088223 * A088225 A088226 A088227

Keyword

nonn

Author

Cino Hilliard, Nov 03 2003

Status

approved