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Prime constellation

IsPrimeConstellationdef

A prime constellation at n for a set of shifts H is the assertion that n + h is prime for every h ∈ H. Twin primes are the case H = {0, 2}; the conjecture that every IsAdmissible tuple occurs infinitely often generalises all of them at once.

def IsPrimeConstellation (H : Finset ℕ) (n : ℕ) : Prop :=
  ∀ h ∈ H, Nat.Prime (n + h)

import Conjectura.Defs.Mathematics.NumberTheory.PrimeConstellation · maintainer — open · raw source

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