Theorems · Theorem · number theory
LucasLehmer.X.closed_form
∀ {q : ℕ} (i : ℕ), ↑(LucasLehmer.s i) = LucasLehmer.X.ω ^ 2 ^ i + LucasLehmer.X.ωb ^ 2 ^ iA closed form for the recurrence relation.
- Defined in
- Mathlib.NumberTheory.LucasLehmer
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_oneproof · cited by 3,885
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- ZModproof · cited by 1,024
- pow_oneproof · cited by 894
- one_powproof · cited by 521
- pow_succproof · cited by 374
- mul_powproof · cited by 220
- pow_mulproof · cited by 210
- add_sub_cancel_rightproof · cited by 187
- Int.cast_ofNatproof · cited by 86
- Int.cast_subproof · cited by 78
Cited by2
Results whose statement or proof uses this declaration.
- LucasLehmer.ω_pow_formulaproof · cited by 1
- lucas_lehmer_necessityproof · cited by 0