Congruency and Divisibility of Odd in Z

jeudi 27 février 2014

1. The problem statement, all variables and given/known data

Let n be any odd integer. Prove that 1 is the only "common" divisor of the integers n and n+2.



3. The attempt at a solution

I don't think I understand the question.



The few notes I have state d| (n+2 )- n



This resembles n+2 ##\equiv## n mod d , but I don't see the connection.

The congruency means that n+2 and n share the same remainder.

Any help?





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