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Sweden Contests
Swedish Mathematical Competition
1966 Swedish Mathematical Competition
3
3
Part of
1966 Swedish Mathematical Competition
Problems
(1)
integer = 7 mod 8 not sum of three squares
Source: 1966 Swedish Mathematical Competition p3
3/21/2021
Show that an integer
=
7
m
o
d
8
= 7 \mod 8
=
7
mod
8
cannot be sum of three squares.
Sum of Squares
number theory
Perfect Square