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One other special property prime numbers can have is being irregular. And guess what the first irregular prime number is? 37. Interesting that it appears so lat
by User3456335 3y ago
One other special property prime numbers can have is being irregular. And guess what the first irregular prime number is? 37. Interesting that it appears so late because irregular prime numbers do make up around 41% of all primes. See: https://encyclopediaofmath.org/wiki/Irregular_prime_number#:~:text=An%20odd%20prime%20number%20p,prime%20numbers%20are%20called%20regular https://encyclopediaofmath.org/wiki/Irregular_prime_number#:....
So the most interesting prime number really depends on what you consider more interesting. If you prefer the median second prime factor, then 37 is the best, but if you prefer the first irregular prime number then 37 is also the best. So it all depends on your perspective.
Another reason to like 37 is that it ends in a 7 so that it "sounds random" when someone asks for a number and it is better than 27 because it is prime. 7 is too low and 17 has connotations with bad luck. Although 37 is quite scary too: it's not just prime, which is pretty irregular, but it's also an irregular prime.