Let p be a prime divisor of the Fermat number Fn 22" + 1. : 2n+1 (a) Show that ord, 2 (b) Use part(a) to show that 2"+1 | (p – 1), and conclude that p must be of the form 2"+1k +1.
Let p be a prime divisor of the Fermat number Fn 22" + 1. : 2n+1 (a) Show that ord, 2 (b) Use part(a) to show that 2"+1 | (p – 1), and conclude that p must be of the form 2"+1k +1.
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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I

Transcribed Image Text:Let p be a prime divisor of the Fermat number Fn
22" + 1.
: 2n+1
(a) Show that ord, 2
(b) Use part(a) to show that 2"+1 | (p – 1), and conclude that p must be of the form 2"+1k +1.
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