Prime Numbers and The Prime Spiral

By Anupum Pant

There isn’t any defined pattern yet that describes the distribution and spacing of prime numbers among integers. But, the distribution of prime numbers might not be as random as it seems.


During one boring lecture, a polish mathematician was doodling in his notebook. He was writing all the numbers in a spiral, shown below. Then, he started circling the prime numbers and noticed there was something different about how prime numbers arranged themselves in this spiral.


He found that there was a great tendency for prime numbers to come in one of the diagonals. At first, it might look like the human brain is trying to make a pattern out of randomness, it actually isn’t so. Numberphile compares it with a random pattern of dots to clear that up. The video also shows some other startling prime number patterns which have been noted.

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