All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Product of odd primes with distinct digits (Posted on 2021-07-23)
(1): Consider the set of the smallest 6 odd primes: {3,5,7,11,13,17}.
What is the largest multiple of this product which has distinct digits ?

(2) What is the maximum number of digits a square-free integer (whether even or odd) can have if its digits are all distinct?

(3) What is the largest odd square-free integer with distinct digits having exactly n prime factors for n = 1,2,3,4,5? You can extend this to larger numbers of factors if you wish.

Note: a square-free integer is one whose prime factorization has exactly one factor for each prime that appears in it.

 See The Solution Submitted by Larry Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
 Subject Author Date re: Brian and Charlie: note a few details Charlie 2021-07-27 21:56:47 Brian and Charlie: note a few details Larry 2021-07-25 09:44:57 computer solution Charlie 2021-07-23 14:16:24 Question 2 and 3 answers. Brian Smith 2021-07-23 12:16:36

 Search: Search body:
Forums (2)