Difference between revisions of "Talk:Modular arithmetic/Introduction"
(hm) |
(question about example problem) |
||
Line 4: | Line 4: | ||
A couple of clocks for modulo 5 and modulo 12 would make a great addition to the early part of this article.--[[User:MCrawford|MCrawford]] 19:35, 28 June 2006 (EDT) | A couple of clocks for modulo 5 and modulo 12 would make a great addition to the early part of this article.--[[User:MCrawford|MCrawford]] 19:35, 28 June 2006 (EDT) | ||
+ | |||
+ | |||
+ | “What is the last digit of <math>(...((7)^7)^7)...)^7</math> if there are 1000 7s as exponents and only one 7 in the middle? We can solve this problem using mods. This can also be stated as <math>7^{7^{1000}}</math>.” | ||
+ | |||
+ | It seems to me that the expression simplifies to <math>7^{1000}</math>, no? |
Latest revision as of 10:02, 17 July 2022
AoPSWiki Article of the Day | ||
|
This page is a small experiment to see if it's a better way to organize an amount of information that is sure to become very large.--MCrawford 16:34, 28 June 2006 (EDT)
A couple of clocks for modulo 5 and modulo 12 would make a great addition to the early part of this article.--MCrawford 19:35, 28 June 2006 (EDT)
“What is the last digit of if there are 1000 7s as exponents and only one 7 in the middle? We can solve this problem using mods. This can also be stated as .”
It seems to me that the expression simplifies to , no?