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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