New posts in pattern-recognition

What is this pattern found in the first occurrence of each $k \in \{0,1,2,3,4,5,6,7,8,9\}$ in the values of $f(n)=\sqrt{n}-\lfloor \sqrt{n} \rfloor$?

Find palindromes in two consecutive number bases?

A prime number random walk

How to solve this sequence $165,195,255,285,345,x$

Pattern in number of digits in $(10^n)!$

A random walk on a finite square with prime numbers

Are Mersenne prime exponents always odd?

Closed form for $ S(m) = \sum_{n=1}^\infty \frac{2^n \cdot n^m}{\binom{2n}n} $ for integer $m$?

If a prime number is reversed, and then appended to itself, why is the result always a composite number?

Getting the sequence $\{1, 0, -1, 0, 1, 0, -1, 0, \ldots\}$ without trig?

Eyebrow-raising pattern of number of primes between terms of the Fibonacci number sequence?

Hidden patterns in the natural numbers

Help with a prime number spiral which turns 90 degrees at each prime