Algebra Etc. @AlgebraFact
Tweets about algebra, number theory, and miscellaneous math by @JohnDCook. JohnDCook.com Joined January 2010-
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Category theory without categories johndcook.com/blog/2023/05/2…
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Any two finite fields having exactly p^n elements for prime p are isomorphic.
New post: Conway's pinwheel tiling johndcook.com/blog/2025/09/2…
Every integer is the sum of at most 37 integer 5th powers. -- John Conway
Euclidean algorithm: If a and b are integers and a > b, gcd(a, b) = gcd(a mod b, b)
Relating Fibonacci and Lucas numbers
Schur’s theorem: If the integers are colored with a finite number of colors, there is always a monochrome solution to x + y = z.
Algebra Etc. retweeted
Stellar magnitude is a logarithm base 0.3981. johndcook.com/blog/2023/08/2…
A trivia game asked what sigma stands for in math. The expected answer was summation. Other answers:
An inverse problem for the quadratic equation johndcook.com/blog/2025/09/2…
Cayley-Hamilton: The minimal polynomial of a linear transformation divides its characteristic polynomial.
Algebra Etc. retweeted
Math. Reality. Knowledge. "The Landscape of Mathematics". This is meant to be funny while expressing a truth. By Abstruse Goose, tinyurl.com/7as3x84t, cc by-nc 3.0 us
If p is prime, every group of order p² is abelian.
Legendre Symbols and Ethereum johndcook.com/blog/2025/06/2…
The center of a group is the set of elements that commute with everything in the group.
Linear logic analogies to arithmetic johndcook.com/blog/2022/01/1…
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