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A240473
Distance from prime(n) to the closest smaller squarefree number.
9
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
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)))
KEYWORD
nonn
AUTHOR
Chris Boyd, Apr 06 2014
STATUS
approved