# Tag Info

Accepted

### Modify a magic square

How about: Check: An answer which is not of this form is:
• 9,610

### Modify a magic square

My Shot: Reasoning. Second try. And maybe the simplest function
• 18.1k

You need to:
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### Number of magic squares with magic constant 0?

Take the example square below: -3 2 1 4 0 -4 -1 -2 3 To generate a new square, simply multiply each element of this square by any positive integer. As there ...
• 7,369
Accepted

### Can you fill $3 \times 3$ magic square?

There are two ways to do this: the algebraic way and the 'clever' way. The algebraic way The clever way
• 146k
Accepted

I was able to find one of the solutions using "paper and pencil". I stopped searching for more solutions after that. It is certainly very very time consuming. In my explanation I name rows as A,B,C,...
• 1,315
Accepted

### Create a magic square of 4-digit numbers

Building on the strategy of Omega Krypton, this is one possibility which also gets the diagonals to sum to the magic total First of all, construct four single digit magic squares... Then concatenate ...
• 136k

### sums and differences in consecutive grid

Very nice puzzle! @WeatherVane beat me to the answer but thought I'd post with some logical deductions: Logic on how to solve:
• 58.4k
Accepted

### Magic square 4x4 that sum to 38

Here's how I would go about it: Firstly, we want to split the numbers in two groups, each having 8 numbers with a total of 76. We are going to use one of the groups for the diagonals, and the other ...
• 77.4k
Accepted

### A riddle that has been killing me the whole day

The answer is: The formula is: Examples:
• 477
Accepted

### No ordinary magic square part 2. How many solutions are there?

According to the simple-minded 7-line Python program I just wrote, there are exactly There is at least a 25% chance that I didn't make any stupid blunders. Here's the code: ...
• 119k
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Solution: Notes:
• 21.4k
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### Put numbers to a star-shaped puzzle

This does it: There may be other solutions beyond symmetry ...now to write some code new code for all valid solutions up to symmetry previous slow, non-symmetry "naive" search
• 21.2k

### No ordinary magic square part 2. How many solutions are there?

My Python code to iterate the solutions and their respective $8$ sums: Counting them: Some more information:
• 21.2k

• 146k

### Magic square with equal sums on rows, columns and diagonals

The answer is: Right So, here's an image Here's a description of the working:
• 15.2k

### Magic square 4x4 that sum to 38

One thing to consider is that there are only 4 odd numbers in the puzzle: 7, 7, 11, 13. Which means every row/column/diagonal that has one of those four numbers must have exactly two of them (you can'...
• 406
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• 9,914
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### How to fill $4320$ multiplicative semi-magic square?

Here's one way to do it Strategy
• 136k
Accepted

### Fill in a 4x4 multiplicative magic square

Again the short answer is with the example of The analysis and most of the heuristic from my 5x5 solution works here as well, but I introduced a little more heuristic which was unused in 5x5. First, ...
• 14.1k
Accepted

### Sum in Magic star puzzle

Assuming "sector beams" are the five kite-shaped things joined in the centre one solution would be
• 21.4k
Accepted

### Near Magic Squares with the First 25 Primes

I'll get things started with You can achieve
• 13.7k

My solution:
• 14.4k