I found two ways to solve this one with pen & paper, one quite elegant, the other with lots of algebra.

Hello there,

You must use three colors to paint all n integers from 1 to n in such a way that when you add two numbers that are painted with two differents colors, the result cannot be painted with the third color.

(For example, the result of Blue + Red cannot be painted Green)

Problem 1 (easy) :

Find an easy way to make such a painting that works for every integer n (> 3)

Remark leading to a harder problem :

Such a painting is quite easy to do by using one of the three colors on only 1 integer or, at least, a very few integers.

But what if you want to maximize the use of the least used color?

Problem 2 (harder) :

The least used of the three colors can of course not be given to more than 1/3 of the n integers, show that it cannot in fact exceed 1/4.

(And show a painting algorithm that works with 1/4)

Have fun!

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Every fruit hides a number, and each fruit always hides the same one. What number replaces the ? 🏆 NEW: LEADERBOARD! Solved it? Now prove you're the best: climb the Rule Hunter leaderboard (daily, weekly and all-time) under any nickname you like. Only your nickname is shown publicly. Can you reach #1? Puzzle from the game Rule Hunter, spoiler-tag your guess: answer

The Game
- Roll 2 dice
- The wooden numbers flip back. Drop 1-2 numbers based on your roll. They can be any 1 or 2 numbers that add to the sum of you dice roll
- Try to get every number down

It’s pretty self explanatory, but say I roll a 3 & 5 on the dice: I can drop any combination of 8 only, 7&1, 6&2, 3&5 - then those numbers are out.

I’ve been curious about if this game can be “solved,” in the sense that there is always an optimal route to maximizing your odds of a victory. If anyone else finds it fascinating I’d love to hear thoughts on it.

Divided by 0

Only sharp minds can solve this! 🔥

What’s the missing number? Comment your answer 👇

After playing way too many number games that just involve swiping and merging, I wanted to make something that felt a bit more like a traditional logic puzzle.

The result is SumSplitter. The core mechanic is simple: instead of merging numbers, you swipe to split them in half. The two halves drop into adjacent empty cells. Your goal is to place them so that every row and column matches its target sum.

Each center number is built from the four numbers connected to it, and the same hidden rule works for all of them. What number replaces the ? 🏆 NEW: LEADERBOARD! Think you're good at this? Rule Hunter now has a daily, weekly and all-time leaderboard. Sign in, pick any nickname you like (only your nickname is shown publicly) and see if you can reach #1. Who's taking the top spot? Puzzle from the game Rule Hunter, spoiler-tag your guess: answer

Source: numberthon.com

Find an alternative expression for 1618 that uses the same set of four digits (1,1,6,8) and basic math operations including square root, factorial, and decimals (terminating or repeating).

Note: This problem was created by a human (me) and should be solved by a member of the same species.

The same hidden rule connects the four numbers in every diamond. What number replaces the ? 🏆 NEW: LEADERBOARD! Solved it? Now prove you're the best: climb the Rule Hunter leaderboard (daily, weekly and all-time) under any nickname you like. Only your nickname is shown publicly. Can you reach #1? Puzzle from the game Rule Hunter, spoiler-tag your guess: answer

Don't just post the answer.
Show your work.

https://sixfigurelogic.com/

🎮 50 LEVELS. 5 WORLDS. ONE EPIC CHALLENGE!

What if every letter was hiding a secret number? 🔐

Welcome to Cryptarithm Quest: The 50-Level Challenge, our free browser puzzle game!

🧩 Crack secret mathematical codes
🌍 Explore 5 mysterious worlds
🏆 Unlock levels and conquer the final boss!

Play on itch. io Cryptarithm Quest Made By Beyond The Formula

Can YOU beat all 50 levels? Comment your highest level!

Beyond the Formula | Explore. Reason. Prove.

#CryptarithmQuest #MathGames #PuzzleGames #BrainTeasers #Shorts

Before solving this, please write down your guess based on visual inspection of the image. Use Pythagoras’ theorem to solve this problem. Descartes’ kissing theorem is not allowed (except if you are a descendant of Descartes himself).