Prime numbers classified by level are rarefying among the primes.

Number Theory Formal VerificationNov 4, 2026score 0.172 posts · 0 replies across 1 instances

The thread discusses the formal proof of Conjecture 9 in Lean 4, focusing on the classification of prime numbers by level and the use of Brun's pure sieve to establish a sieve bound. The proof is notable as it is not part of Mathlib, highlighting a significant contribution to number theory.

Claims

Parent: Number TheoryEntity: Prime NumbersSub-entity: Classification by LevelImpact: positiveDate: Nov 4, 2026Target: The classification of prime numbers by level

Conjecture 9 has been formally proved in Lean 4 using Brun's pure sieve.

Parent: Formal VerificationEntity: Lean 4Impact: positiveDate: Nov 4, 2026Target: The formal proof of Conjecture 9 in Lean 4

Source posts

@[email protected]

Conjecture 9 formally proved in Lean 4.
The prime numbers classified by level are rarefying among the primes.
The sieve bound TripleSieveBound is a standard estimate. It is not in Mathlib, so it is proved with Brun's pure sieve.
⬇️
https://github.com/decompwlj/Conjecture9inLEAN

0 boosts · 0 favs · 0 replies · Nov 3, 2026

@[email protected]

Conjecture 9 formally proved in Lean 4.
The prime numbers classified by level are rarefying among the primes.
The sieve bound TripleSieveBound is a standard estimate. It is not in Mathlib, so it is proved with Brun's pure sieve.
⬇️
https://github.com/decompwlj/Conjecture9inLEAN

#decompwlj #math #NumberTheory #PrimeNumbers #Lean #formal

0 boosts · 0 favs · 0 replies · Nov 4, 2026

#formal#lean#primenumbers#numbertheory#math#decompwlj

@[email protected]

Conjecture 9 formally proved in Lean 4.
The prime numbers classified by level are rarefying among the primes.
The sieve bound TripleSieveBound is a standard estimate. It is not in Mathlib, so it is proved with Brun's pure sieve.
⬇️
https://github.com/decompwlj/Conjecture9inLEAN

#decompwlj #math #NumberTheory #PrimeNumbers #Lean #formal

0 boosts · 0 favs · 0 replies · Nov 4, 2026

#formal#lean#primenumbers#numbertheory#math#decompwlj

@[email protected]

Conjecture 9 formally proved in Lean 4.
The prime numbers classified by level are rarefying among the primes.
The sieve bound TripleSieveBound is a standard estimate. It is not in Mathlib, so it is proved with Brun's pure sieve.
⬇️
https://github.com/decompwlj/Conjecture9inLEAN

#decompwlj #math #NumberTheory #PrimeNumbers #Lean #formal

0 boosts · 0 favs · 0 replies · Nov 4, 2026

#formal#lean#primenumbers#numbertheory#math#decompwlj