## 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/

108 more wordsAmong 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.

#### 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