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A258614 Numbers m having with the largest square <= m a common divisor > 1. 3
4, 6, 8, 9, 12, 15, 16, 18, 20, 22, 24, 25, 30, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 56, 63, 64, 66, 68, 70, 72, 74, 76, 78, 80, 81, 84, 87, 90, 93, 96, 99, 100, 102, 104, 105, 106, 108, 110, 112, 114, 115, 116, 118, 120, 121, 132, 143, 144, 146, 147 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

FORMULA

A074695(a(n)) > 1.

EXAMPLE

a(11) = 24: GCD(24,A048760(24)) = GCD(24,16) = 4 > 1;

a(12) = 25: GCD(25,A048760(25)) = GCD(25,25) = 25 > 1;

but GCD(26,A048760(26)) = GCD(26,25) = 1, therefore 26 isn't a term.

PROG

(Haskell)

a258614 n = a258614_list !! (n-1)

a258614_list = filter ((> 1) . a074695) [1..]

(PARI) isok(m) = gcd(m, sqr(sqrtint(m))) > 1; \\ Michel Marcus, Jan 23 2022

CROSSREFS

Cf. A074695, A048760, A258613 (complement).

Sequence in context: A161576 A327446 A100425 * A269131 A130074 A304242

Adjacent sequences:  A258611 A258612 A258613 * A258615 A258616 A258617

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Jun 05 2015

STATUS

approved

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Last modified November 26 03:33 EST 2022. Contains 358353 sequences. (Running on oeis4.)