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Good Primes

A good prime is a prime number whose square is greater than the product of any two primes at the same number of positions before and after it in the sequence of primes.

A good prime satisfies the inequality: pn2 > p(n-i) * p(n+i)
for all 1 ≤ i ≤ n−1. pn is the nth prime.

First 20: 5, 11, 17, 29, 37, 41, 53, 59, 67, 71, 97, 101, 127, 149, 179, 191, 223, 227, 251, 257

Checkout list of first: 10, 50, 100, 500, 1000 good primes. You can also check all good primes.

Checkout good primes up to: 100, 500, 1000, 10000.

Visualization#

Every frame counter is increased by one. If it is good prime then dot appears. Color has no meaning. Video has 25fps.

You can also compare it with other types.

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