 What is Mod?,
a selection of answers from the Dr. Math archives.
 Mod
 What does the term 'mod' mean?
 What is Modulus?
 I have used the mod command and know what the results mean, but
I don't understand the theory behind it and what is actually happening.
 Modulus Operator Problem
 Can you explain this problem to me? 4 mod 3 = ?
 Mod, Modulus, Modular Arithmetic
 What does 'mod' mean?
 Casting Out Nines and Elevens
 Why is nine used in proving this math answer?
 Modular Arithmetic
 For any integer a, a^4 is congruent to 0 or 1 (mod 5)... We were able
to work with the odd number case so it is just the even case that is
getting us stuck.
 Proof Involving mod 5
 Prove n^2 mod 5 = 1 or 4 when n is an integer not divisible by 5.
 Computing a^((N1)/2) mod N
 Is there a shortcut for doing a^((n1)/2) mod N?
 Division of Large Numbers
 What is the remainder when 7^100 is divided by 13? Give a general
strategy and an explanation.
 Using Mod to Find Digits in Large
Numbers
 Find the last two digits in 1996^1996.
 Finding 13^99
 What is the units digit of 13 to the 99th power?
 Find the Monster Mod 11, Mod 2310
 Find an integer n between 0 and 2309 with the property that
10^10^10^34 = n (mod 2310).
 Numbers in the Fibonacci Sequence
 How can I show that there is a number in the Fibonacci sequence
that ends in 999999999999? For what numbers n is there a number in the
Fibonacci sequence that ends in n of 9?
 Mod Function and Negative Numbers
 What is the correct value for the function MOD(340,60)? Microsoft Excel
returns the value 20, while Lotus 123 returns the value 40. Can you
explain the difference?
 Euler's theorem
 How do I find the inverse of a modulo m using Euler's theorem?
 Reverse Modulus Operator
 Is there an operator that would return 2 when we we do 6 * 0,
* being this new operator?
