The series of Find a factor puzzle is started by Culver Kwan, and asks the solver to identify a factor of a certain large number within a certain range using some mathematical identities. This should be tagged with mathematics, number-theory and no-computers.
Find a factor of $104060405$ withi...
A friend of mine gave me this riddle.
Find the next number of the sequence:
293, 313, 331, ...
Let's see who can do better than I did.
I hope this question falls into the correct category. I'm sure the 2 paths , 1 liar and 1 truthful is common, however, is there a general strategy given:
There are N-number of doors/paths/or destinations (you get the point). For simplicity sake, let's assume that N is an even integer greater th...
This video claims that the fastest game of monopoly involves 4 turns and 9 rolls of the dice. I am wondering if this is actually the shortest game or can we do better in theory? What is the probability of this game happening in real life?
https://www.youtube.com/watch?v=gHJkTz6Ej3U
Without remorse from the very start, Briton ousted Theresa, then maltreated someone else; dies (7, 3, 5, 3, 4)
Find all functions $f:\mathbb{N}\to\mathbb{N}$ which satisfy
$$
(n-1)^{2020}<\prod_{k=1}^{2020}f^{(k)}(n)<n^{2020}+n^{2019}\quad\quad\text{for all }n\in\mathbb{N},
$$
where $\mathbb{N}$ is the set of natural numbers (not including zero) and $f^{(k)}$ is the composite function $f\circ f\circ\dots\...
The goal is to divide the grid into regions of exactly four cells (tetromino). Each region contains exactly two different symbols. Regions of the same shape must contain the same symbols. The tetrominoes may be rotated or mirrored.
I created this puzzle. You must think right to get the answers. This may seem very difficult. But I can assure that there is a clear logic behind this. But it takes time. Hope you like this :)
File 1
File 2
The above two files are the documents describing the puzzle.
Hint 1:
Hint 2:
Hi...
