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Number Theory and its Applications
book

Number Theory and its Applications

by Satyabrota Kundu, Supriyo Mazumder
January 2022
Intermediate to advanced content levelIntermediate to advanced
366 pages
9h 15m
English
CRC Press
Content preview from Number Theory and its Applications

10 Integers of Special Forms

“An equation means nothing to me unless it expresses a thought of God.”

— Srinivasa Ramanujan

10.1 Introduction

Over the centuries, integers with certain properties were studied extensively by several mathematicians. Present chapter portrayed few integers viz Perfect number, Mersenne Primes and Fermat number, where various theorems together with few properties are proved. We begin with the notion of perfect number.

10.2 Perfect Numbers

In ancient times, Greek Mathematicians have found some interesting integers which can be written as sum of their divisors. For example 6 = 1 + 2 + 3 where 1, 2, 3 are divisors of 6. They have named those type of integers as perfect integers or perfect numbers. Thus the definition ...

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Publisher Resources

ISBN: 9781000562583