Erdős Problem 10: Grechuk
Bogdan Grechuk has observed that is not the sum of a prime and at most powers of , and pointed out that parity considerations, coupled with the fact that there are many integers not the sum of a prime and powers of suggest that t...
Mathematical statement
Bogdan Grechuk has observed that is not the sum of a prime and at most powers of , and pointed out that parity considerations, coupled with the fact that there are many integers not the sum of a prime and powers of suggest that there exist infinitely many even integers which are not the sum of a prime and at most powers of ).
Statement source: Erdős Problems statement material
Statement terms: Source-specific
Source-specific terms. Therefore does not assert reuse rights beyond attributed display.
Statement artifacts, not proofs
These records expose exact Lean propositions and statement-only wrappers. Defining a proposition does not supply a proof of it. A placeholder-bearing target also contains no proof. Elaboration checks syntax and types; it does not certify that a formalization perfectly captures every nuance of the informal problem.
Pinned Lean formulation 1
erdos_10.variants.grechuk
theorem erdos_10.variants.grechuk : Set.Infinite <| {n : ℕ | Even n} \ sumPrimeAndTwoPows 3 := by sorry- Statement source
- Formal Conjectures
- Lean version
- v4.27.0
- Placeholder
- Present; no proof artifact
- Source evidence
- Pinned source index
- Fidelity review
- Community formulation
References