Theorems · Theorem · number theory
Nat.Primes.not_summable_one_div
¬Summable fun p => 1 / ↑↑p
The sum over the reciprocals of the primes diverges.
- Defined in
- Mathlib.NumberTheory.SumPrimeReciprocals
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Nat.Primesstatement and proof · cited by 63
- Function.mtproof · cited by 27
- summable_subtype_iff_indicatorproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Nat.Primes.summable_rpowproof · cited by 1