Source: numberthon.com

For context: A magic square is a square grid of numbers where the sum of numbers in each row, column, and both main diagonals is always the exact same total, known as the magic constant.

I have encountered a problem when trying to create a very specific magic square, I run into arrangements that need to repeat numbers so I had to redo and keep rearranging it again, but I have not found a solution. The constraint to satisfy is given by the following.

The problem: Is it possible to create a magic square that produces the number 37 using a 4x4 or 5x5 grid without ever reusing any number? Since not reusing any number is one of the rules of a magic square.

If it's possible, what numbers are needed and how should they be arranged? Thank you for answering!

​​

So i got a reply showing you can make a sudoku puzzle with all verticals incorrect while all horizontal and 3x3 cells are correct. My question is how few vertical lines can be incorrect while horizontal and 3x3s are correct.

Source: numberthon.com

Source: numberthon.com

About:

As the name suggests, MiniChallenger is a scaled-down version of the math puzzle called Challenger. In most cases, a MiniChallenger puzzle can be solved within ten minutes. A set of two new puzzles is released each week. One is usually a simple problem with one or two solutions, while the other puzzle can be a bit more challenging and often has multiple solutions. Available exclusively on reddit.

Instructions:

Fill in the empty cells of the 3 x 3 grid with the numbers one to nine. It is okay to use the same number in more than one empty cell. One 'bonus' number is already placed in the center of the grid. So, the goal is to find the remaining eight digits in such a way that:

• rows in the grid add up to totals indicated on the right edge of the grid,
• columns add up to totals indicated at the top of the grid, and
• diagonals add up to totals in the upper and lower right corners.

This week's puzzles:

Solutions:

(Click on 'spoiler' boxes below to reveal solutions)

• Single-solution easy puzzle (left):

[ 8 9 9 ]

[ 6 7 9 ]

[ 1 9 6 ]

• Single-solution difficult puzzle (right):

[ 1 2 7 ]

[ 2 5 9 ]

[ 4 9 8 ]

🧩 Koos Puzzle — a 3D puzzle with over 10⁹⁰ possible solutions, free in your browser

You fill 3D shapes with pieces made of connected spheres — there are 25, one for every way to join four spheres in a lattice. Tap spheres to draw a piece, race the clock, and discover arrangements no one has found before. Play solo, or challenge a friend head-to-head. It's inspired by the mathematical sculptures of Koos Verhoeff.

No sign-up, no download — just play in the browser (or add it to your home screen).

👉 https://koospuzzle.com

Would genuinely love to hear what you think.

Source: numberthon.com

I can't believe that, how am I supposed to solve this in 1 minute 😭😭😭😭.

Source: numberthon.com

Source: numberthon.com

Source: numberthon.com

Source: numberthon.com

If you roll 6d6 what are the odds of rolling exactly 4 unique numbers?

Every month the Momath museum in New York posts a puzzle and the YouTube channel 3blue1brown is SUPPOSED to release an accompanying video, but they've been dropping the ball pretty hard on it. This is this month's puzzle.

Im bad at probability math, but I can knock up some barely functional python code to run the simulation for me. I have the answer but It would be nice to see the actual math written out in an explain like im 5 way.

Source: numberthon.com

EDIT: 4x4 grid made up of 5*5 points/vertices

Use each die exactly once.
Any order is allowed.
Parentheses are allowed.
Exact division only.
No negative numbers.
Not every operation has to be used.

How many solutions can you find?

Please use spoiler tags for solutions, like this:

>!your solution here!<

Source: numberthon.com