Tags » Primes

Principle of Comity Pigeons

We propose what we call the Principle of Comity Pigeons. The principle says: “A choice offered is not a choice if it has no choice.” We used the principle to prove infinitude of prime numbers and infinitude of the Mersenne primes.



Prime distribution, before and after

In the Illustrated Theory of Numbers, the pictures serve different purposes.  Some lend geometric insight to proofs.  Others display logical flow.  Others render an abstract concept.   726 more words


TI-99/4A Primes

Being a fan of old hardware, I used the TI-99/4A (released in 1981) to calculate some primes.
The code is written in BASIC, the programming language found on most computers of this era. 47 more words


Two neat factoring problems for kids

My son is in the review section of chaper 11 of Art of Problem Solving’s Introduction to Algebra book.    I asked him to chose a problem for our movie today and he chose a “greater than / less than” problem that connects to factoring.  71 more words

A curious non-randomness in the distribution of primes

I found this article extremely interesting. From https://www.quantamagazine.org/20160313-mathematicians-discover-prime-conspiracy/

Among the first billion prime numbers, for instance, a prime ending in 9 is almost 65 percent more likely to be followed by a prime ending in 1 than another prime ending in 9.

108 more words

abc conjecture

The abc conjecture (also known as the Oesterlé–Masser conjecture) is a conjecture in number theory, first proposed by Joseph Oesterlé (1985) and… 501 more words