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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb28968c1-4c02-4f1b-93c1-76106357f243%2Ff0badf5b-29ca-42ef-b7ae-3f3e7edaf38e%2Fr9cccpl_processed.jpeg&w=3840&q=75)
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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