Perfect Number
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perfect number [′pər·fikt ′nəm·bər]

(mathematics)

An integer which equals the sum of all its factors other than itself.

perfect number

equal in value to the sum of those natural numbers that are less than the given number but that also divide (with zero remainder) the given number. [Math.: EB, VII: 872]

See : Perfection

Perfect Number

a positive integer that is equal to the sum of all its factors except itself. Examples of perfect numbers are 6 = 1 + 2 + 3 and 28 = 1 + 2 + 4 + 7 + 14.

As early as the third century B.C., Euclid showed that even perfect numbers could be obtained from the formula 2p^–l(2p – 1) when p and 2p – 1 are prime numbers. Approximately 20 even perfect numbers have been found in this way. As of 1976, no odd perfect numbers are known, and their existence remains an open question. Perfect numbers were first investigated by the Pythagoreans, who ascribed a special mystical meaning to such numbers and combinations of such numbers.

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No references found			The test for an even perfect number now depends on finding whether the number [M. Just perfect part 2 by Scott, Paul / Australian Mathematics Teacher			Evdokim Maltsev Evdokim Romanov Evdokim Romanovich Romanov Evdokim Ziablovskii Evdokimov, Aleksandr Evdokimov, Aleksandr Ivanovich Evdokimov, Ivan Evdokimov, Ivan Vasilevich Evdoshvili, Irodion Evdoshvili, Irodion Isakievich Eve Eve's constant Evection Evelina Evelyn Evelyn, Aunt Evelyn, John Even Even and odd Functions even function even harmonic even keel Even Literature even number even parity check Even perfect number even permutation even pitch even vertex even-even nucleus even-odd nucleus even-textured even-word boundary evening class Evening Education evening grosbeak evening gun Evening Newspapers evening primrose Evening Roll Call Evening Schools evening star evening twilight Evenki Evenki Autonomous Area Evenki Autonomous Okrug Evens Evensk Evensmo, Sigurd evensong event			Even hashitiya Even hashitiyah Even hashitiyah Even hashtiya Even hashtiya Even hashtiyah Even hashtiyah Even If It Kills Me even if only Even If Used even in the best of times even keel Even Literature Even lot even money Even Monthly Payment Plan even more Even Now Even Now Even Now Even number even off Even Or Odd even out even out Even Par Swap Even Par Swaps Even parity Even parity even parity check Even perfect number Even permutation even pitch Even primes Even primes Even shesiya Even shesiya Even shesiyah Even shesiyah Even shetiya Even shetiya Even shetiyah Even shetiyah Even Simpler Management Protocol even so even so even spacing Even Start Family Literacy Even Start Performance Information Reporting System even Steven Even Stevens even tenor even the score even then even then even then even though even up even up even up even vertex

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Perfect Number (redirected from Even perfect number)

Perfect Number
(redirected from Even perfect number)