Please give a a reason, why 1 is a composite

tg at gmplib.org tg at gmplib.org
Wed Mar 25 07:45:53 UTC 2015


yi lu <zhiwudazhanjiangshi at gmail.com> writes:

  Please give a a reason, why 1 is a composite. This is a seriously bug.
  
  http://mathforum.org/library/drmath/view/57036.html
  
GMP and mathforum are not affiliated.  This GMP list is not the right
place to report their "bugs".  If somebody over there claims 1 to be
composite, then you might address person directly.

There are texts (older ones more than modern ones) that define 1 to be
prime.  The common view today is that it is not prime (and certainly not
a composite).

If you define 1 as prime, I suppose you can factor it into the the
primes 1 * 1 * 1 ... so it now is a composite as well, and the ring of
integers becomes a non-UFD (since 1 = 1 * 1 = 1 * 1 * 1 = ....  Ah,
well.

-- 
Torbjörn
Please encrypt, key id 0xC8601622


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