Show that there are infinitely many examples of two consecutive positive integers that cannot be written as the sum of three squares but that among any three consecutive positive integers, at least one can be written as the sum of three squares.
Show that there are infinitely many examples of two consecutive positive integers that cannot be written as the sum of three squares but that among any three consecutive positive integers, at least one can be written as the sum of three squares.
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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Show that there are infinitely many examples of two consecutive positive integers that cannot be written as the sum of three squares but that among any three consecutive positive integers, at least one can be written as the sum of three squares.
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