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A171783 Third smallest divisor of smallest number having exactly n divisors. 3

%I #11 Oct 19 2017 10:43:06

%S 4,3,4,3,4,3,3,3,4,3,4,3,3,3,4,3,4,3,3,3,4,3,3,3,3,3,4,3,4,3,3,3,3,3,

%T 4,3,3,3,4,3,4,3,3,3,4,3,3,3,3,3,4,3,3,3,3,3,4,3,4,3,3,3,3,3,4,3,3,3,

%U 4,3,4,3,3,3,3,3,4,3,3,3,4,3,3,3,3,3,4,3,3,3,3,3,3,3,4,3,3,3,4,3,4,3,3,3,4

%N Third smallest divisor of smallest number having exactly n divisors.

%C Conjecture: a(n) = 4 for all prime numbers >= 3 and 3 for all composites

%C Third column of triangle in A081532. - _N. J. A. Sloane_, Oct 12 2010.

%H Antti Karttunen, <a href="/A171783/b171783.txt">Table of n, a(n) for n = 3..2000</a> (computed from the b-file of A005179 provided by _Don Reble_)

%F a(n) = A292269(A005179(n)) for n >= 3. - _Antti Karttunen_, Oct 04 2017

%e a(4) = 3 because the divisors of 6 are 1, 2, 3, 6.

%Y Cf. A081532, A171784. - _N. J. A. Sloane_, Oct 12 2010.

%Y Cf. A005179, A292269.

%K nonn

%O 3,1

%A _J. Lowell_, Oct 12 2010

%E More terms from _R. J. Mathar_, Oct 13 2010

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Last modified April 18 09:20 EDT 2024. Contains 371769 sequences. (Running on oeis4.)