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%I #19 May 09 2021 02:27:41
%S 10,4680,6585701522400,193394747145600,27377180785991836800,
%T 29378941900252048776672000,5384823686347760468943298225056000,
%U 404593694258692410380118300618528000,1714431214566179268370439406441900195214656000,180656647480221782329653424360823828484237888000
%N The smallest term of A273379 having n primes between two consecutive prime divisors.
%C Is this sequence infinite?
%C In the prime factorization of a(n), the 'gap' occurs before the largest prime divisor. For example, 4680 has distinct prime divisors 2, 3, 5 and 13. The gap is before the largest prime 13. All primes up to and including the second largest prime are a divisor of a(n).
%H P. Erdős, <a href="https://www.renyi.hu/~p_erdos/1944-04.pdf">On Highly composite numbers</a>, J. London Math. Soc. 19 (1944), 130--133 MR7,145d; Zentralblatt 61,79.
%H Vladimir Shevelev, <a href="http://arxiv.org/abs/1605.08884">On Erdős constant</a>, arXiv:1605.08884 [math.NT], 2016.
%Y Cf. A067128, A273379.
%K nonn
%O 1,1
%A _David A. Corneth_, May 22 2016
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