Recent content by ninjagod123

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    Graduate Solving Congruences: Proving a=b

    Oh hmmm... The only way is if (a - b) is zero. How would I formally write this up? I guess a - b can't be the product of all primes?
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    Graduate Solving Congruences: Proving a=b

    Show that if a \equiv b mod p for all primes p, then a = b.
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    How do I prove that 5 divides x^5 - x?

    How do I prove that 5 divides x^5 - x?? How do I prove that 5 divides x^5 - x??
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    Graduate Principle of Induction and Principle of Well-Ordering

    Can anyone prove that the Principle of Induction is a consequence of the Principle of Well-Ordering? How bout that the Principle of Well-Ordering is a consequence of the Principle of Induction?
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    High School Questions about the basic properties of Integers

    I don't know what kind of definitions there are. But since this was the first day, and the professor didn't say anything, I suppose we use the general definitions? I guess that's too vauge.
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    High School Questions about the basic properties of Integers

    Hey sorry I don't understand. In class, some students attempted solutions but the solutions didn't satisfy the professor.
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    High School Questions about the basic properties of Integers

    I am starting Number Theory this semester. My professor hands out notes but there is no textbook for the class. So hopefully you guys can help me with these seemingly easy problems. Z = {...,-5,-4,-3,-2,-1,0,1,2,3,4,5,...} Z is used to denote the set of integers 1) Show that if a is an...