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math.NT2010
On perfect and near-perfect numbers
Vladimir Shevelev
We call positive integer n a near-perfect number, if it is sum of all its proper divisors, except of one of them ("redundant divisor"). We prove an Euclid-like theorem for near-per…
math.NT2010
On Stephan's conjectures concerning Pascal triangle modulo 2
Vladimir Shevelev
We prove a series of Stephan's conjectures concerning Pascal triangle modulo 2 and give a polynomial generalization.