Theorems · Theorem · number theory
ArithmeticFunction.carmichael_pow_of_prime_ne_two
∀ {p : ℕ} (n : ℕ), Nat.Prime p → p ≠ 2 → ArithmeticFunction.carmichael (p ^ n) = (p ^ n).totient- Cited by
- 0 results in Mathlib
- Foundations
- Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Unitsproof · cited by 2,804
- Nat.Primestatement and proof · cited by 2,059
- ZModproof · cited by 1,024
- ArithmeticFunctionstatement · cited by 290
- Monoid.exponentproof · cited by 128
- Nat.totientstatement and proof · cited by 111
- Nat.Prime.ne_zeroproof · cited by 109
- Fintype.card_eq_nat_cardproof · cited by 31
- ArithmeticFunction.carmichaelstatement · cited by 16
- ZMod.card_units_eq_totientproof · cited by 15
- ArithmeticFunction.carmichael_eq_exponent'proof · cited by 7
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