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Properties of non powerful numbers

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: V. Copil, L. Panaitopol

Editorial: JIPAM, J. Inequal. Pure Appl. Math., 9, No. 1, p.Paper No. , 2008.

Rezumat:

In this paper we study some properties of non powerful numbers. We
evaluate the $n$-th non powerful number and prove for the sequence
of non powerful numbers some theorems that are related to the
sequence of primes: Landau, Mandl, Scherk. Related to the
conjecture of Goldbach, we prove that every positive integer
$ge3$ is the sum between a prime and a non powerful number.

Cuvinte cheie: numere powerful, siruri, inegalitati, conjectura lui Goldbach // Powerful numbers, sequences, inequalities, Goldbach's conjecture

URL: http://www.emis.de/journals/JIPAM/images/008_08_JIPAM/008_08.pdf