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Fermat*s Little Theorem (2/24)
Fermat*s Little Theorem (2/24)

... 341 is called a 2-pseudoprime (i.e., “false prime with respect to base 2”). There are in fact infinitely many. The smallest 3-pseudoprime is 91. Etc. Really disturbing: A Carmichael number is a k-pseudoprime for every base k to which it is relatively prime. 561 is the smallest. There are infinitely ...
PDF format
PDF format

Name: Math 111 - Midterm 1 Review Problems
Name: Math 111 - Midterm 1 Review Problems

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Fermat`s Last Theorem for regular primes

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[Part 2]

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Slide 1

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18.781 Problem Set 3

... that’s linear in p for an inverse of 2 modulo p. (I’m not looking for the formula 2p−2 from the text; that is not linear in p. Here’s a hint: if p is odd, then p + 1 is even, so you can divide it by two.) 2(c). The integer 3 is invertible modulo p for any prime p except 3. By breaking the problem in ...
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Section 2

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PDF

All numbers are integers.
All numbers are integers.

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Class notes from November 18

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Exercise set 4 Number Theory Tuesday OCT 11 2011 at 4 pm

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PDF

Math 1580 – Problem Set 5. Due Friday Oct. 14,... Problem 1. Square roots modulo p.
Math 1580 – Problem Set 5. Due Friday Oct. 14,... Problem 1. Square roots modulo p.

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Homework #4 - Armin Straub

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without

Math 2710 (Roby) Practice Midterm #2 Spring 2013
Math 2710 (Roby) Practice Midterm #2 Spring 2013

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REPRESENTATION OF EVEN NUMBERS VIA THE SUM OF TWO

Solve Quadratic Equations
Solve Quadratic Equations

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Unit 3: Equations - Math Specialist Aman

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Assignment 4 Solutions - Math @ McMaster University

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Example sheet 1

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Solving a Quadratic Equation
Solving a Quadratic Equation

... Solving a Quadratic Equation by Using the Quadratic Formula Remember those equations that you were told were un-factorable or prime, and thus could not be solved? Take for example: x 2  10 x  7  0 You cannot solve this equation unless you use either Completing the Square, or the Quadratic Formula ...
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Quadratic reciprocity

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