250 PROBLEMS IN ELEMENTARY NUMBER THEORY
PROBLEMS I. DIVISIBILITY OF NUMBERS 1. Find all positive integers n such that n2+ 1 is divisible by n+ 1. 2. Find all integers x #= 3 such that x-3Ix3-3. 3. Prove that there exists infinitely many positive integers n such that 4n2+ 1 is divisible both by 5 and 13. 4.
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