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

Author

Drake Thomas, Sep 15 2015

Keywords

• nonn

Comments

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

Examples

			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.
		

Links

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

Crossrefs

Cf. A100464.

Programs

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(#mCharles R Greathouse IV, Sep 16 2015

Formula

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