that d | n + 5 and d | n2 + 7, then d | 32. , then n + 5 and n2 + 7 are coprime.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Show that for all integers n:
a) If d is an integer such that d | n+ 5 and d | n² + 7, then d | 32.
b) If n is a multiple of 32, then n + 5 and n2 +7 are coprime.
Transcribed Image Text:Show that for all integers n: a) If d is an integer such that d | n+ 5 and d | n² + 7, then d | 32. b) If n is a multiple of 32, then n + 5 and n2 +7 are coprime.
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