In the first part of the paper the authors, using general formulas, determine and describe a class of infinite series of natural numbers pairs of which are relatively prime. The second part of the paper contains - as a ...

In the paper a set of strategy games is presented. It is shown how the “manipulative” developing of the winning strategy of a known and simple game can lead to conceptual reasoning based on reduction; then it is ...

The aim of this paper is to derive new explicit formulas for the function π, where π(x) denotes the number of primes not exceeding x. Some justifications and generalisations of the formulas obtained byWillans (1964), Minac ...

In this paper some known conditions and new congruences characterising prime numbers are given. Some of them are obtained by the generalised Wilson theorem given by Gauss. The elementary proof of this theorem is also presented.

The aim of this paper is to give a background to study spectral properties of some operators occurring in differentiall geometry. We deal with the problem of existence and uniqueness of local solutions of partial ...