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A112756 Greatest prime factor of n-th number of the form 3^i*5^j. 4

%I #6 Feb 07 2020 09:03:55

%S 1,3,5,3,5,5,3,5,5,3,5,5,5,3,5,5,5,5,3,5,5,5,5,3,5,5,5,5,5,3,5,5,5,5,

%T 5,5,3,5,5,5,5,5,5,3,5,5,5,5,5,5,5,3,5,5,5,5,5,5,5,5,3,5,5,5,5,5,5,5,

%U 5,3,5,5,5,5,5,5,5,5,5,3,5,5,5,5,5,5,5,5,5,5,3,5,5,5,5,5,5,5,5,5,5,3,5,5,5

%N Greatest prime factor of n-th number of the form 3^i*5^j.

%H Amiram Eldar, <a href="/A112756/b112756.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = A006530(A003593(n));

%F A112755(n) <= a(n) <= 5.

%t s = {}; m = 12; Do[n = 5^k; While[n <= 5^m, AppendTo[s, n]; n *= 3], {k, 0, m}]; FactorInteger[#][[-1, 1]] & /@ Union[s] (* _Amiram Eldar_, Feb 07 2020 *)

%Y Cf. A003593, A006530, A086411, A112764, A112755.

%K nonn

%O 1,2

%A _Reinhard Zumkeller_, Sep 18 2005

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