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
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Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
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Chapter5: Factoring Polynomials
Section5.7: Factoring Pattern For X2+bx+c, C Positive
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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.
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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