A262231 First term is 2; each subsequent term is the least number greater than the previous term but not a multiple of the successor of any previous term.

2, 4, 7, 11, 13, 17, 19, 22, 26, 29, 31, 34, 37, 41, 43, 47, 49, 52, 58, 61, 67, 71, 73, 77, 79, 82, 86, 89, 91, 94, 97, 101, 103, 107, 109, 113, 116, 119, 121, 127, 131, 133, 137, 139, 142, 146, 149, 151, 157, 163, 167, 169, 172, 178, 181, 187, 191

Offset

1,1

Comments

If the twin prime conjecture is true, this sequence has infinitely many pairs of terms with difference at most 3.

Links

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Formula

a(n) = A100464(n) - 1.

Example

25 is excluded because it is a multiple of 4+1; 26 is not a multiple of 3,5,8,...,23 so it remains in the sequence.

Prog

(PARI) has(n)=fordiv(n, d, if(mapisdefined(m, d-1), return(0))); 1
first(n)=local(m=Map(Mat([2, 0]))); my(t=3); while(#m<n, while(!has(t++), ); mapput(m, t, 0)); Mat(m)[, 1]~ \\ Charles R Greathouse IV, Sep 16 2015

Crossrefs

Cf. A100464.

Sequence in context: A087285 A107791 A181518 * A356133 A191323 A307207

Adjacent sequences: A262228 A262229 A262230 * A262232 A262233 A262234

Keyword

nonn

Author

Drake Thomas, Sep 15 2015

Status

approved