May 28, 2023

# There is something mystifying about the number 15. Scientists have solved the mystery associated with it

Behind the revelation in this case Actors stand Carnegie Mellon University who tried to answer a question. What did he look like? As follows: Given an infinite grid of squares, and wanting to fill it with numbers that must be more than the number of squares spaced apart, what is the minimum number of distinct numbers that must be used?

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Perhaps this description does not explain enough, so it is worth trying to provide a little more detailed information. It should be noted that, for example, two cannot be next to each other, because the distance between them will cover only one square. However, if you place them diagonally, the distance will be 2 squares. So it was about a distance greater than its own value by one.

Bernardo Supercasso and Marin Hull tried to explain this mathematical puzzle. First, the scientists came to the conclusion that the key to explaining the problem would be the number 13, 14, or 15. However, such a variant had been proposed years ago, so this time the researchers wanted to choose one specific answer. Since the man could not, he would send the computer, so it was the same this time.

It was the machine that enabled the efficient testing of various variables, and people were wondering how to speed up its operation. Turns out, the key to luck is that if the computer detects bits of space all together instead of each individual square, the computation will become more efficient. So Subercaseaux and Heule split the space into letters of 5 squares and had the computer check each letter for errors instead of every square.

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## No. 15 had been mentioned as a candidate before, but other options have now been rejected

Through trial and error, 15 were determined to be the correct answer. Could this have deeper ramifications? Well, not necessarily. However, mathematicians have grappled with a problem that has plagued their environment since 2008. Yet we see that computers are increasingly inseparable companions of scientific misery. Their participation in the research remains invaluable.

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It was nice to think that what we had created as a kind of side question in some random diary had groups of people spending what turned out to be many months trying to figure out how to solve it.
concluded Wayne Goddard of Clemson University, who has dealt with this problem in the past