Theorems · Definition · number theory
Nat.fermatNumber
ℕ → ℕ
Fermat numbers: the n-th Fermat number is defined as 2^(2^n) + 1.
- Defined in
- Mathlib.NumberTheory.Fermat
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by21
Results whose statement or proof uses this declaration.
- Nat.two_lt_fermatNumberstatement · cited by 2
- Nat.three_le_fermatNumberstatement · cited by 2
- Nat.fermatNumber_strictMonostatement · cited by 2
- Nat.odd_fermatNumberstatement · cited by 1
- Nat.pepin_primalitystatement and proof · cited by 1
- Nat.two_mul_fermatNumber_sub_one_sq_le_fermatNumber_sqstatement · cited by 1
- Nat.coprime_fermatNumber_fermatNumberstatement and proof · cited by 1
- Nat.prod_fermatNumberstatement and proof · cited by 1
- Nat.fermatNumber_eq_fermatNumber_sq_sub_two_mul_fermatNumber_sub_one_sqstatement · cited by 1
- Nat.fermatNumber_eq_prod_add_twostatement and proof · cited by 1
- Nat.fermatNumber_monostatement · cited by 1
- Nat.pairwise_coprime_fermatNumberstatement · cited by 0