Suppose that n is a positive integer such that (n − 1)! -1 (mod n) and (n-1)! #0 (mod n) Find the largest possible value of n or enter 999 if there are infinitely many such positive integers. Type your answer... Find the least residue of the (multiplicative) inverse of modulo 467. (Note that 467 is prime.) Type your answer... (467-10)!

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Need help with these two Intro to Elementary Number Theory Homework problems.

 

Suppose that n is a positive integer such that
(n − 1)! -1 (mod n) and
(n-1)! #0 (mod n)
Find the largest possible value of n or enter 999 if there are infinitely many such positive integers.
Type your answer...
Transcribed Image Text:Suppose that n is a positive integer such that (n − 1)! -1 (mod n) and (n-1)! #0 (mod n) Find the largest possible value of n or enter 999 if there are infinitely many such positive integers. Type your answer...
Find the least residue of the (multiplicative) inverse of
modulo 467. (Note that 467 is prime.)
Type your answer...
(467-10)!
Transcribed Image Text:Find the least residue of the (multiplicative) inverse of modulo 467. (Note that 467 is prime.) Type your answer... (467-10)!
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