Is 1 a Prime Number? A Mathematical Saga
2025-04-21
This essay delves into the long-standing debate in mathematics surrounding the classification of 1 as a prime number. From the Pythagorean school's exclusion of 1 as a number to differing views held by mathematical giants like Euler and Hardy, the status of 1 has been a source of ongoing discussion. The article explores the advantages and disadvantages of considering 1 as prime or not, and the resulting adjustments to mathematical theorems and concepts. Ultimately, the essay summarizes why the modern mathematical community generally does not consider 1 a prime number, highlighting that mathematical definitions are not immutable truths but conventions made for simplicity and theoretical consistency.