# A Historical Survey of the Fundamental Theorem of Arithmetic

```@article{Aargn2001AHS,
title={A Historical Survey of the Fundamental Theorem of Arithmetic},
author={Ahmet Ağarg{\"u}n and Engin {\"O}zkan},
journal={Historia Mathematica},
year={2001},
volume={28},
pages={207-214}
}```
• Published 1 August 2001
• Mathematics
• Historia Mathematica
Abstract The purpose of this article is a comprehensive survey of the history of the Fundamental Theorem of Arithmetic. To this aim we investigate the main steps during the period from Euclid to Gauss. Copyright 2001 Academic Press. Dans cet article nous donnons une vue d'ensemble de l'histoire du Theoreme Fondamental de l'Arithmetique. Pour ce but nous considerons les moments principaux dans la periode de Euclide a Gauss. Copyright 2001 Academic Press. MSC 1991 subject classifications: 01A30…

### Euclid's theorem on the infinitude of primes: a historical survey of its proofs (300 B.C.--2012) and another new proof

In this article, we provide a comprehensive historical survey of different proofs of famous Euclid's theorem on the infinitude of prime numbers. The Bibliography of this article contains 99

### Euclid's theorem on the infinitude of primes: a historical survey of its proofs (300 B.C.--2017) and another new proof

In this article, we provide a comprehensive historical survey of different proofs of famous Euclid’s theorem on the infinitude of prime numbers. The Bibliography of this article contains 99

### Exploring the Fundamental Theorem of Arithmetic in Excel 2007

• Mathematics
• 2010
This paper discusses how fundamentals of number theory, such as unique prime factorization and greatest common divisor can be made accessible to secondary school students through spreadsheets. In

### Fermat: The Founder of Modern Number Theory

Fermat, though a lawyer by profession and only an “amateur” mathematician, is regarded as the founder of modern number theory. What were some of his major results in that field? What inspired his

### Quick, Does 23/67 Equal 33/97? A Mathematician's Secret from Euclid to Today

Three prime-free arguments for the property of the natural numbers are contrasted, which remedy a method of Euclid, use similarities of circles, or follow a clever proof in the style of Euclids, as in Barry Mazur's essay.

### The History of the Primality of One: A Selection of Sources

• History
• 2012
The way mathematicians have viewed the number one (unity, the monad) has changed throughout the years. Most of the early Greeks did not view one as a number, but rather as the origin, or generator,

### The Search for One as a Prime Number: From Ancient Greece To Modern Times

• Mathematics
• 2012
It has often been asked if one is a prime number, or if there was a time when most mathematicians thought one was prime. Whether or not the number one is prime is simply a matter of definition, but

### What is the Smallest Prime

• Mathematics
• 2012
What is the first prime? It seems that the number two should be the obvious answer, and today it is, but it was not always so. There were times when and mathematicians for whom the numbers one and

### Mathematical Fit: A Case Study

• Mathematics
• 2016
Mathematicians routinely pass judgments on mathematical proofs. A proof might be elegant, cumbersome, beautiful, or awkward. Perhaps the highest praise is that a proof is right, that is that the pr

### Accurate and Infinite Prime Prediction from Novel Quasi-Prime Analytical Methodology

• Mathematics
• 2019
It is known that prime numbers occupy specific geometrical patterns or moduli when numbers from one to infinity are distributed around polygons having sides that are integer multiple of number 6. In