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A306879 Smallest number m such that m, m+1, and m+2 all have exactly 2p divisors, where p = prime(n). 3

%I #14 Mar 26 2019 20:35:36

%S 33,242,7939375,76571890623,104228508212890623,1489106237081787109375,

%T 273062471666259918212890623,804505911103256259918212890623,

%U 490685203356467392256259918212890623,6794675247932944436619977392256259918212890623,329757106427071213106619977392256259918212890623

%N Smallest number m such that m, m+1, and m+2 all have exactly 2p divisors, where p = prime(n).

%C a(4) was incorrect in "Some new results on consecutive equidivisible integers".

%H Chai Wah Wu, <a href="/A306879/b306879.txt">Table of n, a(n) for n = 1..50</a>

%H Vasilii A. Dziubenko, Vladimir A. Letsko, <a href="https://arxiv.org/abs/1811.05127">Consecutive positive integers with the same number of divisors</a>, arXiv:1811.05127 [math.NT], 2018.

%H Vladimir A. Letsko, <a href="http://arxiv.org/abs/1510.07081">Some new results on consecutive equidivisible integers</a>, arXiv:1510.07081 [math.NT], 2015.

%e 33, 34, 35 all have exactly 2*prime(1) = 4 divisors, and 33 is the smallest number with this property, so a(1) = 33.

%Y Cf. A274639.

%Y A subsequence of A075040.

%K nonn

%O 1,1

%A _Chai Wah Wu_, Mar 14 2019

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