Published inIntuitionAn Introduction to Integer PartitionsStairway to H̶e̶a̶v̶e̶n̶Jul 10, 2023Jul 10, 2023
Published inIntuitionFun with Numbers - Kaprekar’s ConstantLet’s have some fun with numbers.Jan 24, 20232Jan 24, 20232
Published inIntuitionBinary Quadratic Forms and Primes of the Form x² + ny²Here is an interesting observation about numbers: Some prime numbers can be written as sums of two squares(x² + y²), like: 5 = 1² + 2² 13 =…Oct 26, 2022Oct 26, 2022
Published inIntuitionThe Idea of IdealsAt the end of the post Unique and Non-unique Factorization, we saw how the introduction of Kummer’s “ideal numbers” remedied the lack of…Jun 30, 20221Jun 30, 20221
Published inIntuitionUnique and Nonunique FactorizationLet’s begin with an illustration. Of (non)unique factorization. Consider the following factorizations of 24: 24 = 8 x 3 24 = 12 x 2 24 =…Apr 11, 20222Apr 11, 20222
Number Fields“God made the integers, all else is the work of man”. - Leopold KroneckerMar 30, 20221Mar 30, 20221
Published inNerd For TechHere’s How Quadratic Sieve Factorization WorksFinding the product of two or more numbers is a straightforward mathematical operation, but the inverse operation of decomposing a number…Feb 6, 20221Feb 6, 20221
Published inNerd For TechExperimental Math — Computing Units of Modular RingsAn Introduction to Rings and Units in Abstract AlgebraApr 28, 2021Apr 28, 2021
A first look at GroupsA group is a monoid in which every element has an inverse.Nov 14, 2020Nov 14, 2020