A273415 The smallest term of A273379 having n primes between two consecutive prime divisors.

10, 4680, 6585701522400, 193394747145600, 27377180785991836800, 29378941900252048776672000, 5384823686347760468943298225056000, 404593694258692410380118300618528000, 1714431214566179268370439406441900195214656000, 180656647480221782329653424360823828484237888000

Offset

1,1

Comments

Is this sequence infinite?

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).

Links

Table of n, a(n) for n=1..10.

P. Erdős, On Highly composite numbers, J. London Math. Soc. 19 (1944), 130--133 MR7,145d; Zentralblatt 61,79.

Vladimir Shevelev, On Erdős constant, arXiv:1605.08884 [math.NT], 2016.

Crossrefs

Cf. A067128, A273379.

Sequence in context: A336831 A276241 A233250 * A223055 A308488 A180419

Adjacent sequences: A273412 A273413 A273414 * A273416 A273417 A273418

Keyword

nonn

Author

David A. Corneth, May 22 2016

Status

approved