14 citations · 18 across the 10 of their papers we have counts for
4 papers · 1 filter
On an infinite number of solutions to the Diophantine equation over the square integer matrices
I. Kaddoura, B. Mourad
In this paper, we use some extension of the Cayley-Hamilton theorem to find a family of matrices with integer entries that satisfy the non-linear Diophantine equation $ x^{n}+y^{p}…
On a new closed formula for the solution of second order linear difference equations and applications
Issam Kaddoura, Bassam Mourad
In this note, we establish a new closed formula for the solution of homogeneous second-order linear difference equations with constant coefficients by using matrix theory. This, in…
New Formulas for Semi-Primes. Testing, Counting and Identification of the and next Semi-Primes
Issam Kaddoura, Samih Abdul-Nabi, Khadija Al-Akhrass
In this paper we give a new semiprimality test and we construct a new formula for , the function that counts the number of semiprimes not exceeding a given number .…
On formula to compute primes and the nth prime
Issam Kaddoura, Samih Abdul-Nabi
In this paper, we propose a new primality test, and then we employ this test to find a formula for π that computes the number of primes within any interval. We finally propose a ne…