Nat.exists_prime_gt_modEq_one

∀ {k : ℕ} (n : ℕ), k ≠ 0 → ∃ p, Nat.Prime p ∧ n < p ∧ p ≡ 1 [MOD k]

For any positive k : ℕ there exists an arbitrarily large prime p such that p ≡ 1 [MOD k].

Defined in: Mathlib.NumberTheory.PrimesCongruentOne
Cited by: 1 results in Mathlib
Foundations: Depth 216 from the axioms · uses propext, Classical.choice, Quot.sound

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