A semiprime is a natural number which is the product of two (possibly equal) prime numbers. Let y be a natural number and g(y) be the probability for a number y to be semiprime. In this paper we derive an asymptotic formula to count g(y) for large y and evaluate its correctness for different y. We also introduce strongly semiprimes, i.e., numbers each of which is a product of two primes of large dimension, and investigate distribution of strongly semiprimes. © 2014 Allerton Press, Inc
We study generalized prime systems P and generalized integer systems N obtained from them. The asymp...
We study the multidimensional distribution of the power generator of pseudorandom numbers modulo a h...
In this article, we aim to prove that if one picks an ordered pair of integers ( ,)x y at random, th...
A semiprime is a natural number which is the product of two (possibly equal) prime numbers. Let y be...
A semiprime is a natural number which is the product of two (possibly equal) prime numbers. Let y be...
A semiprime is a natural number which is the product of two (possibly equal) prime numbers. Let y be...
AbstractLet Pk(n) denote the probability that k positive integers, chosen at random from {1, 2,…, n}...
AbstractIf r, k are positive integers, then Tkr(n) denotes the number of k-tuples of positive intege...
In this work we show that the prime distribution is not random. Indeed the set of prime numbers P ca...
AbstractGiven a set S of positive integers let ZkS(t) denote the number of k-tuples 〈m1, …, mk〉 for ...
We present the main results, conjectures and ideas concerning the distribution of primes. We recount...
In this work we show that the prime distribution is not random. Indeed the set of prime numbers P ca...
International audienceAbstract We generalize current known distribution results on Shanks–Rényi prim...
In this work we show that the prime distribution is not random. Indeed the set of prime numbers P ca...
In this work we show that the prime distribution is not random. Indeed the set of prime numbers P ca...
We study generalized prime systems P and generalized integer systems N obtained from them. The asymp...
We study the multidimensional distribution of the power generator of pseudorandom numbers modulo a h...
In this article, we aim to prove that if one picks an ordered pair of integers ( ,)x y at random, th...
A semiprime is a natural number which is the product of two (possibly equal) prime numbers. Let y be...
A semiprime is a natural number which is the product of two (possibly equal) prime numbers. Let y be...
A semiprime is a natural number which is the product of two (possibly equal) prime numbers. Let y be...
AbstractLet Pk(n) denote the probability that k positive integers, chosen at random from {1, 2,…, n}...
AbstractIf r, k are positive integers, then Tkr(n) denotes the number of k-tuples of positive intege...
In this work we show that the prime distribution is not random. Indeed the set of prime numbers P ca...
AbstractGiven a set S of positive integers let ZkS(t) denote the number of k-tuples 〈m1, …, mk〉 for ...
We present the main results, conjectures and ideas concerning the distribution of primes. We recount...
In this work we show that the prime distribution is not random. Indeed the set of prime numbers P ca...
International audienceAbstract We generalize current known distribution results on Shanks–Rényi prim...
In this work we show that the prime distribution is not random. Indeed the set of prime numbers P ca...
In this work we show that the prime distribution is not random. Indeed the set of prime numbers P ca...
We study generalized prime systems P and generalized integer systems N obtained from them. The asymp...
We study the multidimensional distribution of the power generator of pseudorandom numbers modulo a h...
In this article, we aim to prove that if one picks an ordered pair of integers ( ,)x y at random, th...