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Theorems · Theorem · number theory

schnirelmannDensity_setOfPred_mod_eq_one

∀ {m : ℕ}, m ≠ 1 → schnirelmannDensity {n | n % m = 1} = (↑m)⁻¹

The Schnirelmann density of the set of naturals which are 1 mod m is m⁻¹, for any m ≠ 1. Note that if m = 1, this set is empty.

Defined in
Mathlib.Combinatorics.Schnirelmann
Cited by
3 results in Mathlib
Foundations
Depth 124 from the axioms · uses propext, Classical.choice, Quot.sound

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