A023577 Greatest exponent in prime-power factorization of prime(n)+3.

1, 1, 3, 1, 1, 4, 2, 1, 1, 5, 1, 3, 2, 1, 2, 3, 1, 6, 1, 1, 2, 1, 1, 2, 2, 3, 1, 1, 4, 2, 1, 1, 2, 1, 3, 1, 5, 1, 1, 4, 1, 3, 1, 2, 3, 1, 1, 1, 1, 3, 2, 2, 2, 1, 2, 1, 4, 1, 3, 2, 1, 3, 1, 1, 2, 6, 1, 2, 2, 5, 2, 1, 1, 3, 1, 1, 3, 4, 2, 2, 1, 3, 1, 2, 1, 1, 2, 2, 4, 1, 1, 1, 2, 1, 1, 1, 9, 2, 1

Offset

1,3

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Formula

a(n) = A051903(3+A000040(n)). - Robert Israel, Mar 18 2019

Maple

f:= proc(n) max(map(t -> t[2], ifactors(ithprime(n)+3)[2])) end proc:
map(f, [$1..100]); # Robert Israel, Mar 18 2019

Crossrefs

Cf. A000040, A051903.

Sequence in context: A264490 A299794 A023579 * A188139 A134557 A290342

Adjacent sequences: A023574 A023575 A023576 * A023578 A023579 A023580

Keyword

nonn

Author

Clark Kimberling

Status

approved