Unformatted text preview: p | m 2 p | m . . . ( ll in the blanks !) p | n contadicts m, n being coprime. This proves that either b or d ( or both ) is (are) zero. However, if b 6 = 0 = d then b p-d q Q forces p Q ; this runs contrary to established fact, as does b = 0 6 = d . Conclusion: b = d = 0 and we are nished. Question : Where was the hypothesis p 6 = q used? 1...
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- Fall '08
- Prime number, Rational number, bd pq, coprime integers