What other uses are there for Prime numbers?

Question

Simple question out of curiosity... Beside the use of cryptographic safety and prime factorization, what other uses are there for prime numbers? Thank you. To clarify and not confusing with a possible 'duplicate' post. I'm asking for other uses than cryptographic-like applications. (this include cryptography (ex. RSA), hashes, pseudo random, etc.) It doesn't necessary have to be something with engineering either. But knowing the innovative uses of primes in programs would be nice to know. Another frequent answer is Cicadas, because they emerge every 13 or 17 years. For me that is something up for debate as it could also be just a coincidence. I am comparing this example with petals, where you can see a repeated form of Fibonacci sequence with all different types of petals. All the while, doing some more research there are Cicadas that emerge every year as well. I'm just curious as what else there is out there that could benefit from the use of primes.

Answer 1

Prime numbers are useful in generating pseudo-random numbers – so that a computer program produces more random results. This is very important in simulations and in statistical analysis.

Did you realize that a cross-cut paper shredder has evenly-spaced blades (both side-by-side and around the circumference of the cylinder) so that it won’t sound like an out-of-balance washing machine? An evenly-spaced arrangement also lessens wear and tear. The problem, however, with this is that every page is cut into the same pattern (I call it the “shredder swath”) – like repeating tire tracks in the mud. This severely limits the number of places that, for example, a chad with a horizontal line near the top could be placed on the page. Prime numbers could help randomize blade position.