From: page 14 of "Introduction to Analytic Number Theory" by Tom Apostol (1976) . (Note the text "evolved from a course offered at the California Institute of Tecchnology during the last 25 years.") Notation. In this chapter, small latin letters a,b,c,d,n,etc., denote
integers; they can be positive, negative or zero.
Definition of divisibility. We say d divides n and we write d|n whenever n = cd for some c. We also say that n is a multiple of d, that d is a divisor of n, or that d is a factor of n.
It would be interesting to see a reference to a publication that denies that 1 is a factor of every integer. On Tue, Feb 14, 2017 at 8:31 PM, Bill Gosper <billgosper@gmail.com> wrote:
Date: 2017-02-14 09:16 From: Nick Baxter <nickb@baxterweb.com> To: math-fun <math-fun@mailman.xmission.com> Reply-To: math-fun <math-fun@mailman.xmission.com>
ok, someone has to ask...factor and divisor are the same thing;
Argh! I had no idea how many people believe this!
why are you implying otherwise?
Because they're different!
I know there is potential confusion with prime factor and factorization, but they're different issues.
Nick
Primality isn't the issue. How many factors of 6 are there in 12? How many factors of 1? 1 is not a goddam factor of anything. --rwg _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun