On prime factors of integers of the form (ab+1)(bc+1)(ca+1)

On Prime Factors of Integers of the Form ab +

1. If n is a positive integer, p is a prime number and k is a non-negative integer with p | n, p n then we write p‖n. For n > 1 let p(n) and P (n) denote the least and greatest prime factor of n, respectively. In the last 15 years many papers have been written on the arithmetical properties of elements of sum sets A + B (defined as the set of the integers of the form a + b with a ∈ A, b ∈ B) wh...

Some Remarks on Prime Factors of Integers

On the number of prime factors of integers of the form ab + 1

Prime factors of consecutive integers

This note contains a new algorithm for computing a function f(k) introduced by Erdős to measure the minimal gap size in the sequence of integers at least one of whose prime factors exceeds k. This algorithm enables us to show that f(k) is not monotone, verifying a conjecture of Ecklund and Eggleton.

the effect of taftan pozzolan on the compressive strength of concrete in the environmental conditions of oman sea (chabahar port)

cement is an essential ingredient in the concrete buildings. for production of cement considerable amount of fossil fuel and electrical energy is consumed. on the other hand for generating one tone of portland cement, nearly one ton of carbon dioxide is released. it shows that 7 percent of the total released carbon dioxide in the world relates to the cement industry. considering ecological issu...