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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. 1
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 (list; graph; refs; listen; history; text; internal format)
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 * A191323 A165288 A177754

Adjacent sequences:  A262228 A262229 A262230 * A262232 A262233 A262234

KEYWORD

nonn

AUTHOR

Drake Thomas, Sep 15 2015

STATUS

approved

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Last modified February 21 16:28 EST 2018. Contains 299414 sequences. (Running on oeis4.)