Intended for: February 25, 2012
Timetable
- First draft entered by Alonso del Arte on November 24, 2011 based on remarks by Charles Greathouse and Artur Jasinski ✓
- Draft reviewed by Daniel Forgues on February 22, 2016 ✓
- Draft to be approved by January 25, 2012
Yesterday's SOTD * Tomorrow's SOTD
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A175607: Largest number
such that the
greatest prime factor of
is the
th prime.
-
-
{ 3, 17, 161, 8749, 19601, 246401, 672281, ... }
For any prime
, there are finitely many
such that
has
as its largest prime factor. For every prime
, is there some
where the greatest prime factor of
is
? Yes, there is. As mentioned by Luca and Najman, this problem is closely related to the one in
A002071.