Let N be an integer, and let p be a prime > 7. Suppose p| (N2+7). Show that p is of the form 1+ 7k, 2 + 7k, or 4+7k.
Let N be an integer, and let p be a prime > 7. Suppose p| (N2+7). Show that p is of the form 1+ 7k, 2 + 7k, or 4+7k.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.7: Factoring Pattern For X2+bx+c, C Positive
Problem 4OE
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![Let N be an integer, and let p be a prime > 7. Suppose p| (N2+7). Show that p is of the form 1+ 7k, 2 + 7k, or 4+7k.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F42f29021-77e8-41a2-a1dc-278a0b5b9554%2Ffb6a0287-c1e1-4078-966c-96b70b73161f%2F9k7yt2l_processed.png&w=3840&q=75)
Transcribed Image Text:Let N be an integer, and let p be a prime > 7. Suppose p| (N2+7). Show that p is of the form 1+ 7k, 2 + 7k, or 4+7k.
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