## Fermat's Library

Buffer : Here's a popular math misconception: the product of the first N primes + 1 is not necessarily a prime itself

**Free Instagram Followers**

**Free Instagram Followers**

Bio **A platform for illuminating academic papers. We publish an annotated paper every week. Our chrome extension for arXiv: fermatslibrary.com/librarian**

Tweets **1,3K**

Followers **260,3K**

Following **4**

Account created **10-09-2015 03:54:59**

ID **3511430425**

Buffer : Here's a popular math misconception: the product of the first N primes + 1 is not necessarily a prime itself

Buffer : "A mathematician is a machine for turning coffee into theorems" - Paul Erdös

Buffer : Here's why the sun turns red near the sunset on Earth

Buffer : This is the largest number that cannot be represented as the sum of distinct cubes

Buffer : Here's an example of a function that grows faster than polynomials but slower than exponentials

Buffer : Here's an interesting surprise: if you write down the digits of e you quickly find a 649 digit prime!

Buffer : Here’s a cool instance of the Banach fixed-point theorem

Buffer : 132 is the sum of all the 2-digit numbers made from its digits. It is the smallest such number.

Buffer : 2⁴ = 4² is the only positive integer solution of aᵇ=bᵃ, assuming that a≠b.

Buffer : Michael Beeler and William Gosper noticed that there is at least one zero in the decimal expression of each power o… twitter.com/i/web/status/1…

Buffer : J. E. Mills noted that many products and quotients of fundamental constants have values very close to the number 3… twitter.com/i/web/status/1…

Buffer : How can 2 teams excavate a tunnel from both ends and ensure they meet in the middle? Eupalinos of Megara figured… twitter.com/i/web/status/1…

Buffer : Jeff Roulston has found the following numbers that can self-locate in the decimal digits of π. The digit 1 is found… twitter.com/i/web/status/1…

Buffer : In 1675, Leibniz introduced the notation df/dx for the derivative and 95 years later Joseph Lagrange was the first… twitter.com/i/web/status/1…

Buffer : In 1997, the Texas banker Andrew Beal noticed that for any solution of Aˣ+Bʸ=Cᶻ he could find, A,B,and C had a comm… twitter.com/i/web/status/1…

Buffer : Here's why the circle has 360 degrees: around 2400 B.C., the ancient Sumerians noticed the Sun's annual path across… twitter.com/i/web/status/1…

Buffer : "If people do not believe that mathematics is simple, it is only because they do not realize how complicated life i… twitter.com/i/web/status/1…

Buffer : A human is the geometric mean of the mass of a proton and the Sun

Buffer : Why are some things darker when wet? It's an interesting question and you just need some basic knowledge about ele… twitter.com/i/web/status/1…