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Amicable numbers are pairs of numbers for which the sum of the proper divisors (the divisors except for the number itself) equals the other number in the pair. The smallest amicable pair is 220 and 284. The proper divisors of 220 are and the factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, and 110, the sum of which is 284. The proper divisors of 284 are 1, 2, 4, 71, and 142, the sum of which is 220.
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Who are the famous mathematicians who discovered the amicable numbers?
Pythagoras discovered the smallest pair of amicable numbers: 220 and 284. The Arab mathematician Al-Banna found a larger amicable pair, 17,296 and 18,416, but European mathematicians were not aware of this discovery. Pierre de Fermat rediscovered this amicable pair in 1636. Rene Descartes rediscovered another amicable pair known to Arab mathematicians in 1638 - the pair 9,363,584 and 9,437,056. Leonhard Euler found 30 pairs of amicable numbers by 1747 because he developed a formula that could produce amicable pairs. B. Nicolo I. Paganini found the smaller amicable pair 1184 and 1210 that had been missed by other European mathematicians in 1866.
Is 284 a perfect number?
No, but the pair (220, 284) are amicable.
What is the friend adverb?
The adverb form is friendly, in a amicable manner. For example: He seemed friendly. The word friendly is also an adjective: He has a friendly smile.
Can you give me an example of an infinite set?
The sets of natural numbers, even numbers, odd numbers, prime numbers, rational numbers, irrational numbers, algebraic numbers, trascendental numbers, complex numbers, the sets of points in an euclidean space, etc.The sets of natural numbers, even numbers, odd numbers, prime numbers, rational numbers, irrational numbers, algebraic numbers, trascendental numbers, complex numbers, the sets of points in an euclidean space, etc.The sets of natural numbers, even numbers, odd numbers, prime numbers, rational numbers, irrational numbers, algebraic numbers, trascendental numbers, complex numbers, the sets of points in an euclidean space, etc.The sets of natural numbers, even numbers, odd numbers, prime numbers, rational numbers, irrational numbers, algebraic numbers, trascendental numbers, complex numbers, the sets of points in an euclidean space, etc.
What are the difference between natural numbers and irrational numbers?
All natural numbers are rational numbers. No irrational numbers are natural numbers.
