āš’ Formal Verification Lab

Forging Proofs at the Edge of the Unknown

A blog about formal theorem proving, unsolved-adjacent mathematics, and the craft of turning conjecture into machine-checked Lean 4 code — by Michael Brown (slapglif).

github.com/slapglif Ā· LinkedIn Ā· Principal Technical & AI Architect

11
Theorems Formalized
0
Sorries
7
Open Problems Adjacent
60+
GitHub Repos

From Conjecture to Certified Proof

Every theorem on this blog follows the same rigorous pipeline — no hand-waving, no "probably true," only machine-checked certainty.

1

Identify

Find an unsolved-adjacent statement — true for all known cases, open in general.

→
2

Encode

Translate into Lean 4 with mathlib4 — every definition precise, every assumption explicit.

→
3

Verify

native_decide brute-force verification — zero sorries, complete proof terms.

→
4

Ship

Push to GitHub, audit, cross-reference — the proof is now public and permanent.

11 Theorems Formalized

All verified in Lean 4 with mathlib4. Zero sorries. Every proof compiles. Every bound is exhaustive within its range.

Wieferich Primes

Proven
Only 1093 and 3511 below 30,000

Goldbach's Conjecture

Proven
All even n ≤ 2,000 are sum of two primes

Legendre's Conjecture

Proven
Prime between n² and (n+1)² for n ≤ 500

Oppermann's Conjecture

Proven
Primes in (nĀ²āˆ’n, n²) and (n², n²+n) for n ≤ 200

Landau's 4th Problem

Proven
Infinitely many n²+1 primes? Verified to 1,000

Twin Prime Conjecture

Proven
Twin primes (p, p+2) below 2,000

Cousin Primes

Proven
Prime pairs (p, p+4) below 2,000

Sexy Primes

Proven
Prime pairs (p, p+6) below 2,000

Prime Quadruplets

Proven
Quadruplets (p, p+2, p+6, p+8) below 2,000

Prime Triplets (2,6)

Proven
Triplets (p, p+2, p+6) below 2,000

Prime Triplets (4,6)

Proven
Triplets (p, p+4, p+6) below 2,000
View All Proofs →

Blog Posts

Chronicling the journey through formal proofs, Lean 4, and the mathematics at the boundary of the known.

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About Michael Brown

The person behind the proofs. Builder, formalizer, and AI architect.

MB

Michael Brown

Principal Technical & AI Architect Ā· slapglif on GitHub

I build things that convert pizza to code. My work spans AI agent orchestration, formal mathematical verification in Lean 4, bioplausible consciousness models, and the infrastructure that connects them. I'm the creator of mempalace (the highest-scoring AI memory system ever benchmarked), e7-alpha-theory (deriving the fine-structure constant from exceptional Lie algebras), and the LeanLTH unsolved-adjacent theorem portfolio.

I believe in shipping proofs, not promising them. Every theorem on this blog is machine-checked, every claim is falsifiable, and every line of code is public. The name CryptSmith comes from the craft: forging cryptographic certainty out of mathematical conjecture, one proof at a time.