翻訳と辞書
Words near each other
・ feep
・ feeper
・ feeping creature
・ feeping creaturism
・ fel
・ femto-
・ fence
・ fencepost error
・ fepped out
・ feprom
fermat prime
・ ferranti f100-l
・ ferrite core memory
・ ferroelectric ram
・ ferroelectric random access memory
・ fetch
・ fetch-execute cycle
・ feynman, richard p.
・ ff
・ ffccc


Dictionary Lists
翻訳と辞書 辞書検索 [ 開発暫定版 ]
スポンサード リンク

fermat prime : FOLDOC
Fermat prime
A {prime number} of the form 2^2^n + 1. Any prime number of the form 2^n+1 must be a Fermat prime. {Fermat} conjectured in a letter to someone or other that all numbers 2^2^n+1 are prime, having noticed that this is true for n=0,1,2,3,4.
Euler proved that 641 is a factor of 2^2^5+1. Of course nowadays we would just ask a computer, but at the time it was an impressive achievement (and his proof is very elegant).
No further Fermat primes are known; several have been factorised, and several more have been proved composite without finding explicit factorisations.
Gauss proved that a regular N-sided {polygon} can be constructed with ruler and compasses if and only if N is a power of 2 times a product of distinct Fermat primes.
(1995-04-10)



スポンサード リンク
翻訳と辞書 : 翻訳のためのインターネットリソース

Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.