A240473 Distance from prime(n) to the closest smaller squarefree number.

1, 1, 2, 1, 1, 2, 2, 2, 1, 3, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 4, 1, 1, 2, 2, 4, 1, 3, 1, 3, 2, 2, 2, 1, 3, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 1, 2, 3, 1, 2, 1, 2, 4, 1, 1, 2, 2, 1, 3, 2, 2, 2, 1, 2, 1, 2, 1, 1

Offset

1,3

Links

Chris Boyd, Table of n, a(n) for n = 1..10000

Formula

a(n) = A000040(n) - A112925(n). - Michel Marcus, Apr 10 2014

Example

a(10) = 3 because 3 is the gap between prime(10) = 29 and the closest smaller squarefree number 26.

Prog

(PARI) forprime(p=1, 450, forstep(j=p-1, 1, -1, if(issquarefree(j), print1(p-j", "); break)))

Crossrefs

Cf. A000040, A112925, A166003, A176141, A240474, A240475, A240476.

Sequence in context: A112758 A029437 A227908 * A286569 A342749 A131335

Adjacent sequences: A240470 A240471 A240472 * A240474 A240475 A240476

Keyword

nonn

Author

Chris Boyd, Apr 06 2014

Status

approved