roblem 3. Recall that we showed that for any prime p > (;) -{ - p = ±1 (mod 8) p = ±3 (mod 8) 1 duce from this that (;) - 2 p2. 6) =(-1). on't forget to explain why is an integer. 8

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter14: Sequences And Mathematical Induction
Section14.4: Mathematical Induction
Problem 13PS
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Problem 3. Recall that we showed that for any prime p > 2
;) -{-
p= ±1 (mod 8)
p = +3 (mod 8)
2
1
-1
Deduce from this that
) = (-1).
Don't forget to explain why is an integer.
8
Transcribed Image Text:Problem 3. Recall that we showed that for any prime p > 2 ;) -{- p= ±1 (mod 8) p = +3 (mod 8) 2 1 -1 Deduce from this that ) = (-1). Don't forget to explain why is an integer. 8
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