Richard Guy probably uses "UPINT" refers to "Unsolved Problems In Number Theory", a book that perhaps defines "powerful number" in a similar way to the following: An integer m such that if p | m, then p^2 | m, is called a powerful number. (which is from http://mathworld.wolfram.com/PowerfulNumber.html ) So the "confusion" would be if some folks thought that only powerful numbers can be "squareful", e.g. 144 could be "squareful" but 2584 would not be because it has 17 as a factor but not 17^2. On 7/15/12, Richard Guy <rkg@cpsc.ucalgary.ca> wrote:
Dear all, I fear that there is confusion about the definition of ``squareful''. See section on powerful numbers in UPINT. R.
-- Robert Munafo -- mrob.com Follow me at: gplus.to/mrob - fb.com/mrob27 - twitter.com/mrob_27 - mrob27.wordpress.com - youtube.com/user/mrob143 - rilybot.blogspot.com