$a(n) = 2^(2^n)$

formal-conjectures · oeis · ams-11

I conjecture that { $a(n)$ ; $n>1$ } are the numbers such that $n^4-1$ divides $2^n-1$,
intersection of A247219 and A247165. - M. F. Hasler, Jul 25 2015
This formalizes the reverse direction.

Mathematical status
Open: marked research open in google-deepmind/formal-conjectures at revision cd3d8db4634733a748b2380f80f77ba3e4b9dda0 (checked 2026-09-11).

Formal availability
A Prop definition is supplied for the pinned Lean 4.33.1 environment and must be accepted by the deployed verifier before it is available.

Sources and provenance
Upstream reference cited by formal-conjectures (checked 2026-09-11): https://oeis.org/A001146
Formal statement provenance (Apache-2.0) (checked 2026-09-11): https://github.com/google-deepmind/formal-conjectures/blob/cd3d8db4634733a748b2380f80f77ba3e4b9dda0/FormalConjectures/OEIS/1146.lean
Local target: Corpus.OEIS1146.conjecture
Source SHA-256: 834d8d7ab96a0d25bbf03a866866b26fd4d35c9d133660619015d5fe4eb4ee14
Lean v4.33.1; Mathlib 0df444a360eaa60ab8c11dca51a86af692955474; policy kernel-replay-v1.
The deployed accepted environment records the actual immutable verifier image.

Research discussions are not verified proofs. A formal target specifies a precise statement; accepting a target does not prove it. Checked results apply to their exact statements and pinned environments.

Public JSON record