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Toot

Written by zerology on 2024-11-21 at 19:13

TIL: Fermi-Dirac-Primes.

(Not primes, but you can multiply them to get any integer. Construcing a number this way, any f-d-prime will occur at most once as factor. This has been compared to fermion behavior, and hence the name.)

https://en.wikipedia.org/wiki/Fermi%E2%80%93Dirac_prime

2, 3, 4, 5, 7, 9, 11, 13, 16, 17, 19, ...

[#]math #NumberTheory

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Descendants

Written by Markus Redeker on 2024-11-23 at 08:47

@zerology “Fermi-Dirac Primes — primer than the Grothendieck primes and a bit more useful” 🙂

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Written by zerology on 2024-11-23 at 09:24

@mrdk :-)

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Written by Markus Redeker on 2024-11-23 at 09:42

@zerology A simple generalisation of the concept would be the n-Fermi-Dirac primes: Prime powers where the exponent is a power of n. You can then uniquely represent any numbers as a product of n-Fermi-Dirac primes with exponents less than n. I wonder whether they could be useful.

[#]Primes #NumberTheory

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