Math

# 0.577 Is The Mysterious Euler–Mascheroni Constant

Adding 1+1/2+1/3+1/4+1/5+... is know as the harmonic series. But skewing that formula just a bit will give you the Euler–Mascheroni constant. To set it up, start with the harmonic series and translate each number to be the largest power of 1/2 that does not exceed it. (Sound confusing? We know. The video will help clarify.) Because the numbers keep getting smaller, you can arrive at an answer. That answer is about 0.577. This is the Euler–Mascheroni constant and it is largely a mystery. To learn what we do know, watch the video below.

#### The Mystery Of 0.577

We know hardly anything about the Euler–Mascheroni constant.

– Numberphile

#### The "Everything" Formula

Sounds impressive.

– Numberphile

#### The Opposite Of Infinity

You would think it's negative infinity, right?

– Numberphile

### Key Facts In This Video

1. The opposite of infinity would be the smallest number possible. 00:01

2. Infinitesimals were important to Leibniz and Newton when they invented calculus. 06:37

3. Limits can be used to work out the area below a curve without having to use infinitesimals. 10:36

Curiosity Staff  