Mustafa Ismail

collaborators

3 papers

math.NT2024

Cryptoanalysis of RSA variants with special structure of RSA primes

M. Anwar, Mustafa Ismail, H. M. Bahig

In this paper, we present attacks on three types of RSA modulus when the least significant bits of the prime factors of RSA modulus satisfy some conditions. Let $p,$ and $q$ be pri…

math.NT2022

Padovan and Perrin Numbers as Sums of Two Jacobsthal Numbers

Mustafa Ismail, Ahmed Gaber, M. Anwar

Let ${P_{k}}_{k \geq 0}$ be the Padovan sequence defined by $P_{k} = P_{k - 2} + P_{k - 3}$ with initial values are $P_{0} = P_{1} = P_{2} = 1$ . Let $\left\lbrace R_{k}\rig…

math.NT2022

Narayana Sequence and The Brocard-Ramanujan Equation

Mustafa Ismail, Salah Rihanaa, M. Anwar

Let ${a_{n}}_{n \geq 0}$ be the Narayana Sequence defined by the recurence $a_{n} = a_{n - 1} + a_{n - 3}$ for all $n \geq 3$ with intital values $a_{0} = 0$ and $a_{1}…