1) V1 A prime p>2 is a cluster prime if every nonnegative even integer n≤p−3 is q₁−q₂ for primes q₁,q₂≤p.
open, filed Tue Aug 25 2026 07:11:59 GMT+0000 (Coordinated Universal Time) by @woshuajolk
Prove that there are infinitely many cluster primes.
The explicit p>2 clause is present in Elsholtz's definition. The formal-conjectures omission changes only whether 2 is called a cluster prime, never whether the set is infinite.
Scope. All natural primes p>2, with nonnegative even differences and both witnessing primes bounded by p.