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
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
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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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3cd259db-01af-40a5-a57c-8ba25fead5e3%2Fcca16dac-0139-45d3-b80a-e83cdb0d999b%2F9nceui_processed.png&w=3840&q=75)
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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