Pythagorean Primes
A Pythagorean prime is a prime number of the form 4n + 1. Pythagorean primes are exactly the odd prime numbers that are the sum of two squares; this characterization is Fermat's theorem on sums of two squares.
First 20: 5, 13, 17, 29, 37, 41, 53, 61, 73, 89, 97, 101, 109, 113, 137, 149, 157, 173, 181, 193
Checkout list of first: 10, 50, 100, 500, 1000 pythagorean primes. You can also check all pythagorean primes.
Visualization#
Every frame counter is increased by one. If it is pythagorean prime then dot appears. Color has no meaning. Video has 25fps.
You can also compare it with other types.
External#
- OEIS: A002144
- Wikipedia: Pythagorean prime
- Youtube: Visualization up to 1 million
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