Use Exercise 38 to show that if m is a positive integer of

Chapter 4, Problem 39E

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QUESTION:

Problem 39E

Use Exercise 38 to show that if m is a positive integer of the form 4k + 3 for some nonnegative integer k, then m is not the sum of the squares of two integers.

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QUESTION:

Problem 39E

Use Exercise 38 to show that if m is a positive integer of the form 4k + 3 for some nonnegative integer k, then m is not the sum of the squares of two integers.

ANSWER:

Solution

In this question we have to show that if  is a positive integer in the form 4k + 3 for some nonnegative integer , then  is not the sum of the squares of two integers.

Step 1  

It is given that

=>

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