In this paper generator and verification algorithms for prime k-tuples based on the the divisibility properties of binomial coefficients are intro-duced. The mathematical foundation lies in the connection that exists between binomial coefficients and the number of carries that result in the sum in different bases of the variables that form the binomial co-efficent and, characterizations of k-tuple primes in terms of binomial coefficients
Starting from the result that the prime distribution is deterministic, we show in its maximal reduce...
We propose a new simple and faster algorithm to factor numbers based on the nature of the prime numb...
AbstractA notion of a neighborhood cube of a term of a Boolean function represented in the canonical...
In number theory, a prime k-tuple is an ordered set of values (i.e. a vector) representing a repeata...
In this paper two algorithms based on the the divisibility properties of binomial expressions are in...
Abstract. Much is known about binomial coefficients where primes are con-cerned, but considerably le...
summary:The primality of numbers, or of a number constellation, will be determined from residue solu...
[[abstract]]This paper describes an algorithm which will generate all the prime implicants of a Bool...
AbstractWe present a prime certification method which permits shorter certificates of primality than...
Abstract. This paper will look at the binomial coefficients di-visible by the prime number 2. The pa...
We give elementary proofs of some congruence criteria to compute binomial coefficients in modulo a p...
In his book "The Art of Computer Programming", Donald Knuth gives an algorithm to compute the first ...
The study of identities is itself a major concern of combinatorial mathematics. Many formulas that a...
summary:The primality of numbers, or of a number constellation, will be determined from residue solu...
Starting from the result that the prime distribution is deterministic, we show in its maximal reduce...
Starting from the result that the prime distribution is deterministic, we show in its maximal reduce...
We propose a new simple and faster algorithm to factor numbers based on the nature of the prime numb...
AbstractA notion of a neighborhood cube of a term of a Boolean function represented in the canonical...
In number theory, a prime k-tuple is an ordered set of values (i.e. a vector) representing a repeata...
In this paper two algorithms based on the the divisibility properties of binomial expressions are in...
Abstract. Much is known about binomial coefficients where primes are con-cerned, but considerably le...
summary:The primality of numbers, or of a number constellation, will be determined from residue solu...
[[abstract]]This paper describes an algorithm which will generate all the prime implicants of a Bool...
AbstractWe present a prime certification method which permits shorter certificates of primality than...
Abstract. This paper will look at the binomial coefficients di-visible by the prime number 2. The pa...
We give elementary proofs of some congruence criteria to compute binomial coefficients in modulo a p...
In his book "The Art of Computer Programming", Donald Knuth gives an algorithm to compute the first ...
The study of identities is itself a major concern of combinatorial mathematics. Many formulas that a...
summary:The primality of numbers, or of a number constellation, will be determined from residue solu...
Starting from the result that the prime distribution is deterministic, we show in its maximal reduce...
Starting from the result that the prime distribution is deterministic, we show in its maximal reduce...
We propose a new simple and faster algorithm to factor numbers based on the nature of the prime numb...
AbstractA notion of a neighborhood cube of a term of a Boolean function represented in the canonical...