*à priori*, pretty boring. But it turns out that it is very interesting: it is the only natural number (along with $1$ ) which have the following property: $\begin{aligned}\color{#3D99F6}3\color{#D61F06}4\color{#20A900}35&=\color{#3D99F6}3^{\color{#3D99F6}3}+\color{#D61F06}4^{\color{#D61F06}4}+\color{#20A900}3^{\color{#20A900}3}+5^5\\&= \color{#3D99F6}{27}+\color{#D61F06}{256}+\color{#20A900}{27}+3125\\ &={3435}.\end{aligned}$ I also like Mills' constant which is the smallest number $\rm A$ such that $\lfloor \rm A^{3^n} \rfloor$ is a prime number for every $n\in\mathbb N$. Its value is approximately equal to $1.306$ and the primes generated by Mills' constant are known as Mills primes; if the Riemann hypothesis is true, the sequence begins: $2, 11, 1361, 2521008887, \ldots$ (sequence A051254 in OEIS).
And what about you? What is your favorite number, and why? Leave a comment! ;-)

No vote yet

1 vote

Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in`\(`

...`\)`

or`\[`

...`\]`

to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

Sort by:

TopNewest$1023$ because...

Log in to reply

73, from the Big Bang Theory

Log in to reply

8... because in a digital clock all the digits and also the letters can be formed by 8.. for example- to form 3 in a digital clock we just have to take out the two sticks on the left...

Log in to reply

I was born on the fifth hour of the fifth day of the fifth month of the year on the fifth floor of the hospital, and I used to be 5 years old. That's why my favorite number is $145=1!+4!+5!$.

Log in to reply

Log in to reply

4, because I used to think that numbers had personalities. 4 is kind.

Log in to reply