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A CLASS OF NEW NEAR-PERFECT NUMBERS
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 Title & Authors
A CLASS OF NEW NEAR-PERFECT NUMBERS
LI, YANBIN; LIAO, QUNYING;
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 Abstract
Let be a positive integer, and let , be two distinct prime numbers with < . By using elementary methods, we give two equivalent conditions of all even near-perfect numbers in the form and , and obtain a lot of new near-perfect numbers which involve some special kinds of prime number pairs. One kind is exactly the new Mersenne conjecture's prime number pair. Another kind has the form and , where the former is a Mersenne prime and the latter's behavior is very much like a Fermat number.
 Keywords
perfect number;pseudoperfect number;near-perfect number;k-near-perfect number;
 Language
English
 Cited by
 References
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