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It is easy to show thát 3 iš nót thẻ sum óf thẻ squares of 2 integers, i.e. a² +b² + 3 any integers a and b. Prove that there are infinitely many such integers that cannot be written as the sum of the squares of two for integers.

It is easy to show thát 3 iš nót thẻ sum óf thẻ squares of 2 integers, i.e. a² +b² + 3 any integers a and b. Prove that there are infinitely many such integers that cannot be written as the sum of the squares of two for integers.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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It is easy to show that 3 is not the sum of the + b² ± 3 squares of 2 integers, i.e. a² for any integers a and b. Prove that there are infinitely many such integers that cannot be written as the sum of the squares of two integers. a² + b² # 6 a² + b² ± 7 a² + b² # 11
Transcribed Image Text:It is easy to show that 3 is not the sum of the + b² ± 3 squares of 2 integers, i.e. a² for any integers a and b. Prove that there are infinitely many such integers that cannot be written as the sum of the squares of two integers. a² + b² # 6 a² + b² ± 7 a² + b² # 11
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