Square of 2 Integers
Number Theory
Level
3
Which of the following can be expressed as a sum of squares of two integers?
1995
None of these choices
2003
1999
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1 solution
The sum of two squares 1 even, 1 odd must be of the form 4n + 1, which eliminates the first two. The sum of two squares cannot be divisible by a prime of form 4k _1 (unless they both are). Bit 1995 .cong. 0 (mod(7) Ed Gray