### Browsed byMonth: February 2018

Carnival of Mathematics 154

## Carnival of Mathematics 154

The Math Citadel is happy to host Carnival of Mathematics edition $154$, where we take a look at math blog posts from all around. For all those interested in Carnival of Mathematics future and past, visit The Aperiodical.

To get things started, we present a few interesting properties of $154$, in keeping with Carnival of Mathematics custom.  Firstly, $154$ is a palindrome when written in bases $6$, $8$, $9$, and $13$:

$$154=414_6=282_8=181_9=\text{BB}_{13}.$$

The nearest primes to 154 are 151 and 157.  Since 154 is equidistant from these, that is,

$$|154-151|=3=|154-157|,$$

154 is referred to as an interprime number

Finally, a triangle rotated internally 154 times1

Now on to this month’s post selection.

In abstract algebra, we include a post of our own, All the Same Opposites, which demonstrates some of the many forms taken by $\text{GF}(2)$ and the significance of their structural equivalence.