A079749 Erroneous version of A358890.

3, 2, 1, 8, 90, 168, 9352, 46189, 2515371, 721970, 6449639, 565062156, 11336460025, 37151747513, 256994754033

Offset: 1

Author

Keywords

• dead

Comments

Name was: "Consider the first occurrence of a run of exactly n successive numbers whose greatest prime factors are monotonically increasing; a(n) is the first of these n numbers."

It seems unclear whether the run of n successive numbers mentioned in the name is allowed to be extendable to the left or not. In other words, is a(n) the smallest number m >= 1 in a run of n consecutive numbers (m, m+1, ..., m+n-1), (A) such that gpf(m) < gpf(m+1) < ... < gpf(m+n-1) > gpf(m+n), or (B) such that gpf(m-1) > gpf(m) (or m = 1) and gpf(m) < gpf(m+1) < ... < gpf(m+n-1) > gpf(m+n)? (Here, gpf(k) = A006530(k), the greatest prime factor of k, with the convention gpf(1) = 1.) In both cases, at least one term is incorrect: in case (A), a(9) should be 721971; in case (B), a(1) should be 14 and a(2) should be 4. - Pontus von Brömssen, Nov 07 2022