6 citations · 9 across the 6 of their papers we have counts for
6 papers
An extension of Wilson's Theorem
Konstantinos Gaitanas
Let be the multiset containing the products of -subsets of . We show that if , then \begin{gather*}\left((-1…
Some new primality criteria based on Lucas sequences
Konstantinos Gaitanas
In this paper, we provide some novel results concerning the behavior of modulo , where is the Lucas sequence of the first kind.…
Two divisibility problems on subset sums
Konstantinos Gaitanas
We consider two problems regarding some divisibility properties of the subset sums of a set . At the beginning, we study the cardinality of whic…
An infinite collection of quartic polynomials whose products of consecutive values are not perfect squares
Konstantinos Gaitanas
Using an elementary identity, we prove that for infinitely many polynomials of fourth degree, the equation has finitely man…
On sequences of natural numbers having pairwise relatively prime terms
Konstantinos N. Gaitanas
We prove some theorems which give sufficient conditions for the existence of prime numbers among the terms of a sequence which has pairwise relatively prime terms.
An explicit formula for the prime counting function
Konstantinos N. Gaitanas
In this paper we use a theorem first proved by S.W.Golomb and a famous inequality by J.B. Rosser and L.Schoenfeld in order to prove that there exists an exact formula for wh…