A240474 Distance from prime(n) to the closest larger squarefree number.

1, 2, 1, 3, 2, 1, 2, 2, 3, 1, 2, 1, 1, 3, 4, 2, 2, 1, 2, 2, 1, 3, 2, 2, 4, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 3, 1, 2, 3, 1, 2, 1, 2, 1, 2, 2, 2, 3, 2, 1, 2, 2, 5, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 3, 2, 2, 4, 1, 3, 3, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 3, 2

Offset

1,2

Links

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

Formula

a(n) = A112926(n) - A000040(n). - Michel Marcus, Apr 10 2014

Example

a(9) = 3 because 3 is the gap between prime(9) = 23 and the closest larger squarefree number 26.

Prog

(PARI) forprime(p=1, 450, for(j=p+1, 2*p, if(issquarefree(j), print1(j-p", "); break)))

Crossrefs

Cf. A000040, A112926, A166003, A176141, A240473, A240475, A240476.

Sequence in context: A089209 A374740 A153359 * A023510 A005678 A296976

Adjacent sequences: A240471 A240472 A240473 * A240475 A240476 A240477

Keyword

nonn

Author

Chris Boyd, Apr 06 2014

Status

approved