Abstract An integer structure (IS) analysis of the sum ( ) Z . This sum generates many primes and the row structure of such primes is explored. The class functions of the composite factors of this sum are also given, and these, together with the associated row functions, illustrate why it is impossible to produce an integer to the fourth power from such sums. The overall results are consistent with those previously found with IS analysis
Only a subset of all even integers can be proved in which every even integer > 4 can be expressed as...
The problem of representing odd integers as the sum of a prime and a power of two is investigated us...
In memory of my sister Fedra Marina Jakimczuk (1970-2010) In this article we obtain some results on ...
Composites are members of an infinite number of infinite arithmetic series. It is shown here that pr...
In this research we propose a new method of integer factorization. Prime numbers are the building bl...
Representation of a non zero integer as a signed product of primes is unique similarly to its repres...
In the pursuit of understanding the enigmatic world of prime numbers,a unique formula has been ident...
This article provides a new way to determine the decrease in prime numbers, the reasons for the mess...
AbstractIt is conjectured that all sufficiently large integers satisfying some necessary congruence ...
The thesis discusses classical number theory problems on representations of integers by sums of two,...
In this paper problems 14, 15, 29, 30, 34, 78, 83, 97, and 116 from [6] are formalized, using the Mi...
We prove results in arithmetic combinatorics involving sums of prime numbers and also some variants ...
Abstract. An intrinsic characterization of positive integers which can be represented as the sum or ...
Many combinatorial structures decompose into components, with the list of component sizes car-rying ...
AbstractIn this paper, we prove that every sufficiently large positive integer satisfying some neces...
Only a subset of all even integers can be proved in which every even integer > 4 can be expressed as...
The problem of representing odd integers as the sum of a prime and a power of two is investigated us...
In memory of my sister Fedra Marina Jakimczuk (1970-2010) In this article we obtain some results on ...
Composites are members of an infinite number of infinite arithmetic series. It is shown here that pr...
In this research we propose a new method of integer factorization. Prime numbers are the building bl...
Representation of a non zero integer as a signed product of primes is unique similarly to its repres...
In the pursuit of understanding the enigmatic world of prime numbers,a unique formula has been ident...
This article provides a new way to determine the decrease in prime numbers, the reasons for the mess...
AbstractIt is conjectured that all sufficiently large integers satisfying some necessary congruence ...
The thesis discusses classical number theory problems on representations of integers by sums of two,...
In this paper problems 14, 15, 29, 30, 34, 78, 83, 97, and 116 from [6] are formalized, using the Mi...
We prove results in arithmetic combinatorics involving sums of prime numbers and also some variants ...
Abstract. An intrinsic characterization of positive integers which can be represented as the sum or ...
Many combinatorial structures decompose into components, with the list of component sizes car-rying ...
AbstractIn this paper, we prove that every sufficiently large positive integer satisfying some neces...
Only a subset of all even integers can be proved in which every even integer > 4 can be expressed as...
The problem of representing odd integers as the sum of a prime and a power of two is investigated us...
In memory of my sister Fedra Marina Jakimczuk (1970-2010) In this article we obtain some results on ...