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Old 2017-02-14, 17:00   #3
science_man_88
 
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Jul 2009
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as for the property about 0 and 1 mod n only as factors we have restrictions for example:
  1. (3y+1)(3x+1) = 9xy+3y+3x+1
  2. (3y+1)(3x) = 9xy+3x
  3. (3y)(3x) = 9xy


all look fine until you realize that x or y in each case has some restriction in number 3 for example, neither x nor y can be of any other remainders except 0 and 1 mod 3 ( mod n respectively). in the second one x has to be of remainder 0 or 1 mod 3 ( mod n respectively), and in the first two cases y can't be odd ( in the first case x can also not be odd).

Last fiddled with by science_man_88 on 2017-02-14 at 17:49
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