Number Theory

  1. A Rational Number With a Finite Number of Digits
  2. Proof: The sum of any three single-digit numbers is at most two digits long
  3. Proof: a natural number n is a prime if b^(n−1) = 1 (mod n) for every integer b between 1 and n-1
  4. A number is divisible by 3 iff sum of its digits are divisible by 3
  5. Prove that b | a iff every multiple of a is multiple of b
  6. Prove or disprove if a+b=2 then b+z=3 for some z

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