Add to ORKGKnowledge about number theory and prime numbersMove the n slider to see that if n is a prime number, n squares cannot be arranged into a rectangular array unless the width or length is 1. That is, it is not possible to represent a prime as the product of two integers axb with a,b>1. Let q and r be the quotient and remainder of the division of n by d. (That is, for each n and d, let n=dq+r, where r and q are positive integers and 0<=r<d.) This Demonstration shows n as a dxq rectangle of blue squares plus an additional r red squares. If n is not prime, there may be some d that make red squares appear, but that only means that particular d does not divide n; there are other d diferent of 1, n that do divide n, in which case no red squares ap...
This paper delt on the representation of integers as the sum of two or more than two squares. A natu...
This study investigates procedural and conceptual aspects in preservice elementary school teachers ’...
The Fundamental Theorem of Arithmetic states that every composite integer can be written as a unique...
Knowledge about number theory and prime numbersMove the n slider to see that if n is a prime number,...
Prime numbers are quite intriguing, since these numbers are only evenly divisible by itself and 1, b...
A prime number is a natural number that has Just two divisors: one and itself. From antiquity until ...
Knowledge about number theory and prime numbersEuclid proved that the number of prime numbers is inf...
Leonard Euler tried to prove one of Fermat's most elegant remarks, the Prime number theorem [1, 73]....
Prime numbers are quite fascinating, considering their very existence seems to have no identifiable ...
A prime number is an integer bigger than l that has no factor except l and itself. A number that is ...
Knowledge about algorithms, integers, number theory, prime numbers and SequencesDirichlet's theorem ...
A Selection of Problems in the Theory of Numbers focuses on mathematical problems within the boundar...
In the multiplicative number theory we decompose a natural number n into prime factors and consider ...
This article formalizes proofs of some elementary theorems of number theory (see [1, 26]): Wilson’s ...
A natural number n is called very perfect if (n) 2n (see [1]). Theorem. The square of an odd p...
This paper delt on the representation of integers as the sum of two or more than two squares. A natu...
This study investigates procedural and conceptual aspects in preservice elementary school teachers ’...
The Fundamental Theorem of Arithmetic states that every composite integer can be written as a unique...
Knowledge about number theory and prime numbersMove the n slider to see that if n is a prime number,...
Prime numbers are quite intriguing, since these numbers are only evenly divisible by itself and 1, b...
A prime number is a natural number that has Just two divisors: one and itself. From antiquity until ...
Knowledge about number theory and prime numbersEuclid proved that the number of prime numbers is inf...
Leonard Euler tried to prove one of Fermat's most elegant remarks, the Prime number theorem [1, 73]....
Prime numbers are quite fascinating, considering their very existence seems to have no identifiable ...
A prime number is an integer bigger than l that has no factor except l and itself. A number that is ...
Knowledge about algorithms, integers, number theory, prime numbers and SequencesDirichlet's theorem ...
A Selection of Problems in the Theory of Numbers focuses on mathematical problems within the boundar...
In the multiplicative number theory we decompose a natural number n into prime factors and consider ...
This article formalizes proofs of some elementary theorems of number theory (see [1, 26]): Wilson’s ...
A natural number n is called very perfect if (n) 2n (see [1]). Theorem. The square of an odd p...
This paper delt on the representation of integers as the sum of two or more than two squares. A natu...
This study investigates procedural and conceptual aspects in preservice elementary school teachers ’...
The Fundamental Theorem of Arithmetic states that every composite integer can be written as a unique...