login
Least m such that A080256(m)=n and has a maximum number A000792(n) of divisors.
1

%I #11 Sep 24 2023 04:31:23

%S 2,4,6,12,36,60,180,900,1260,6300,44100,69300,485100,5336100,6306300,

%T 69369300,901800900,1179278100,15330615300,260620460100,291281690700,

%U 4951788741900,94083986096100,113891141063700,2163931680210300

%N Least m such that A080256(m)=n and has a maximum number A000792(n) of divisors.

%C Omega(m)=A004523(n+1).

%e a(6): The numbers m with A080256(m) = 6 are 24, 30, 32, 36, 40..., with number of divisors 8, 8, 6, 9, 8.... None of these have more than A000792(6) = 9 divisors and 36 is the first that has 9, so a(6) = 36.

%o (PARI) a(n) = local(x); x = (n + 2)\3; prod(i = 1, x, prime(i)^2)/if (n%3 == 1, prime(x)*prime(x - 1), if (n%3, prime(x), 1)); \\ _David Wasserman_, Jun 17 2005

%K nonn

%O 2,1

%A _Lekraj Beedassy_, Oct 14 2003

%E More terms from _David Wasserman_, Jun 17 2005