

A228610


Numbers k such that the largest consecutive pair of prime(k)smooth integers is the same as the largest consecutive pair of prime(k1)smooth integers.


1




OFFSET

1,1


COMMENTS

For each such k = a(n), the smallest superparticular ratio R = m/(m1) such that R factors into primes less than or equal to prime(k) have all of these prime factors strictly less than prime(k).
k = a(n) here are the values of k that make a(k) = a(k1) in A002072 and also in A117581.


LINKS

Table of n, a(n) for n=1..6.


EXAMPLE

For n = 1, k = a(1) = 9 gives prime(k) = 23 such that the largest consecutive pair of 23smooth integers, (11859210,11859211), is the same as the largest consecutive pair of prime(k1)smooth integers (19smooth integers).


CROSSREFS

Cf. A002072, A117581, A228611 gives prime(k) corresponding to k here.
Sequence in context: A075981 A079368 A167529 * A106677 A091592 A174372
Adjacent sequences: A228607 A228608 A228609 * A228611 A228612 A228613


KEYWORD

nonn,more,hard


AUTHOR

Don N. Page, Dec 18 2013


STATUS

approved



