Korean Researcher Challenges 250 Years of Unsolved Mathematics with AI

Collatz Conjecture (87 Years) · Riemann Hypothesis (167 Years) — 24/7 Live Verification System · Global Collaboration Invited

Table of Contents

Executive Summary

Dr. Yeon Sam-Heum, President of World Certification Industry Association (WIA), has announced the results of systematic challenges to some of history’s oldest unsolved mathematical problems. Partial proofs were achieved for the 87-year-old Collatz Conjecture, and critical errors were discovered in a claimed GPT-based proof of the 167-year-old Riemann Hypothesis. All research materials are released as free and open source under MIT License, with a 24/7 live verification system accessible to researchers worldwide.

🎯 Mathematical Challenge Status

Problem	Unsolved	WIA Results	Status
Collatz Conjecture	87 years	• 25% descent proven ✅ • No cycles proven ✅ • No orphans proven ✅ • No counterexample to 10¹² ✅ • Induction foundation 50% built	🔶 Partial Results
Riemann Hypothesis	167 years	• Shimizu(2024) 5 Gaps found ✅ • New equivalence RH⟺MIN ✅ • 24 approaches documented ✅ • 24/7 live Li verification ✅	✅ Verification Complete
Goldbach Conjecture	282 years	–	🔜 Upcoming

Dr. Yeon Sam-Heum, President:
“These are problems that thousands of mathematicians have attempted for 87 and 167 years. We also did not achieve complete proofs. But we made partial progress on Collatz and verified erroneous proof claims on Riemann. We believe even small progress contributes to humanity’s accumulated knowledge.“

🔢 Collatz Conjecture (1937~): The 87-Year Wall

The Collatz Conjecture appears simple but has resisted proof for 87 years: “Take any positive integer. If even, divide by 2. If odd, multiply by 3 and add 1. Eventually you reach 1.” Erdős famously said, “Mathematics is not yet ready for such problems.”

WIA Results

25% descent proven — 25% of all numbers must descend
No cycles proven — No loops except reaching 1
No orphans proven — All numbers are connected
Verified to 1 trillion — No counterexample up to 10¹²
50% induction foundation — Halfway to complete proof

For reference, Fields Medalist Terence Tao proved in 2019 only that “almost all” numbers satisfy the conjecture. Complete proof remains open.

♾️ Riemann Hypothesis (1859~): The 167-Year Wall

The Riemann Hypothesis is one of the Clay Mathematics Institute’s Millennium Prize Problems, carrying a $1 million reward. In May 2024, Shimizu published a paper claiming to have proved RH using GPT. WIA’s verification found 5 critical flaws.

Gap	Issue	Severity
1-4	Normalization, convergence, analytic continuation, asymptotic behavior	Critical
5	Circular logic — Assumes RH to prove RH (tautology)	Fatal

New Discovery: RH ⟺ MIN

“The Riemann Hypothesis is equivalent to: ‘For all t, the minimum of |ξ(σ+it)| occurs at σ=1/2′”
— A new perspective not explicitly addressed in existing literature

🔴 24/7 Live Verification System

🔴 LIVE: riemann.wiastandards.com

Li coefficients are being computed right now

100 computed hourly · All positive = supports Riemann Hypothesis
If negative found → 167-year problem solved (historic moment)

This system never stops. After 1 year: 870,000 coefficients. After 2 years: 1.75 million. Anyone worldwide can access real-time data via our API.

Dr. Yeon Sam-Heum, President:
“36 hours, 26 sessions, 40,000 lines of code. On Collatz, we approached Terence Tao’s level in one day. On Riemann, we completely documented why 24 approaches fail. Clearly showing the limits of existing methodology—that’s the starting point for the next breakthrough.“

💌 To Future Researchers, and an Invitation to Collaborate

We hope our records become a stepping stone for the next generation.

There’s a reason everyone has hit the same wall for 87 and 167 years. We need new mathematics that goes around the wall, not through it. We hope our documented failures help find that path.

And — the door is open.
Universities, research institutes, corporations, government agencies. If you want to collaborate, reach out.
We work without boundaries.

🌟 The Meaning of This Challenge

Not achieving complete proof doesn’t make this meaningless.

What We Left for Humanity

Collatz: 5 partial proofs and verification to 1 trillion
Riemann: Shimizu(2024) error verification and new equivalence condition
24 documented approach failures — so future researchers don’t repeat the same mistakes
24/7 live verification system — a “living verification” that never stops
YAIM Methodology — human-AI collaboration framework

Edison had 1,000 failures before inventing the light bulb. Proofs of mathematical conjectures will be built on countless attempts. We hope our records become part of that foundation.

Dr. Yeon Sam-Heum, President:
“Mathematics, standardization, any field — our approach has no boundaries. We’ve created over 80 international standards, and now we’re challenging mathematical conjectures. If there’s an unsolved problem, contact us from anywhere. We’ll take on the challenge together. This is 弘益人間.”

🌏 弘益人間 — Open Source Declaration

弘益人間 (Hongik Ingan)

“Benefit All Humanity”

The 4,000-year-old founding philosophy of Korea

All research materials are released as free and open source under MIT License.

✅	278 files, 97,690 lines	All sessions, code, documentation public
✅	24/7 Live API	Accessible to anyone
✅	Collaboration Welcome	Universities, institutes, corporations, government agencies

📦 Related Resources

🔴	Live Dashboard	riemann.wiastandards.com • 24/7 Li coefficient verification · Real-time research status
📂	GitHub	WIA-Official/riemann-hypothesis-journey • 278 files, 97,690 lines · MIT License
📡	API	riemann.wiastandards.com/api/status.php • Live computation status JSON

🏢 About WIA

World Certification Industry Association (WIA) is an international standards organization dedicated to providing equal opportunities for all humanity through technology and certification.

WIA develops over 80 international standards across accessibility, security, AI, environment, healthcare, and more—all released as free and open source. This mathematical research is the first extension of WIA’s “knowledge for humanity” philosophy into mathematics.

👤 About the CEO

Dr. Yeon Sam-Heum is the world’s only one-person standards architect who has single-handedly built infrastructure for over 80 international standards in collaboration with AI, and an innovator in lifelong education.

Since founding SmileStory Inc. in 2009, he has operated 11 business domains including travel, insurance, publishing, education, media, web/software development, medical devices, medical tourism, and business consulting. In 2018, he established WIA and began the challenge of creating free international standards for all humanity. That challenge now extends to mathematical conjectures.

“We don’t limit ourselves by field. Standardization, mathematics, whatever comes next. If there’s a problem to solve, we take it on. Partners are welcome. The door is always open.“