(3) Prove that x² – 34y? = –1 has no integer solutions. (Hint: First find the minimal positive integer solution of the related equation x2 – 34y² = 1, then use this to bound the number of...


(3) Prove that x² – 34y? = –1 has no integer solutions. (Hint: First find the minimal positive<br>integer solution of the related equation x2 – 34y² = 1, then use this to bound the number<br>of possibilities you have to check for the original equation.)<br>

Extracted text: (3) Prove that x² – 34y? = –1 has no integer solutions. (Hint: First find the minimal positive integer solution of the related equation x2 – 34y² = 1, then use this to bound the number of possibilities you have to check for the original equation.)

Jun 04, 2022
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