{"id":75835,"date":"2026-01-06T18:02:27","date_gmt":"2026-01-06T09:02:27","guid":{"rendered":"https:\/\/thekoreantoday.com\/pohang\/2026\/01\/06\/korean-researcher-challenges-250-years-of-unsolved-mathematics-with-ai\/"},"modified":"2026-01-06T18:02:33","modified_gmt":"2026-01-06T09:02:33","slug":"korean-researcher-challenges-250-years-of-unsolved-mathematics-with-ai","status":"publish","type":"post","link":"https:\/\/thekoreantoday.com\/pohang\/2026\/01\/06\/korean-researcher-challenges-250-years-of-unsolved-mathematics-with-ai\/","title":{"rendered":"Korean Researcher Challenges 250 Years of Unsolved Mathematics with AI"},"content":{"rendered":"
Korean Researcher Challenges 250 Years of Unsolved Mathematics with AI<\/h1>\n
Collatz Conjecture (87 Years) \u00b7 Riemann Hypothesis (167 Years) \u2014 24\/7 Live Verification System \u00b7 Global Collaboration Invited<\/p>\n
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Executive Summary<\/h2>\n
Dr. Yeon Sam-Heum, President of World Certification Industry Association (WIA)<\/strong>, 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<\/strong>, and critical errors were discovered in a claimed GPT-based proof of the 167-year-old Riemann Hypothesis<\/strong>. All research materials are released as free and open source under MIT License<\/strong>, with a 24\/7 live verification system accessible to researchers worldwide.<\/p>\n
Dr. Yeon Sam-Heum, President:<\/strong> “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.<\/strong>“<\/p>\n<\/div>\n
\ud83d\udd22 Collatz Conjecture (1937~): The 87-Year Wall<\/h2>\n
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.” Erd\u0151s famously said, “Mathematics is not yet ready for such problems.”<\/p>\n
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WIA Results<\/p>\n
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25% descent proven<\/strong> \u2014 25% of all numbers must descend<\/li>\n
No cycles proven<\/strong> \u2014 No loops except reaching 1<\/li>\n
No orphans proven<\/strong> \u2014 All numbers are connected<\/li>\n
Verified to 1 trillion<\/strong> \u2014 No counterexample up to 10\u00b9\u00b2<\/li>\n
50% induction foundation<\/strong> \u2014 Halfway to complete proof<\/li>\n<\/ul>\n<\/div>\n
For reference, Fields Medalist Terence Tao proved in 2019 only that “almost all” numbers satisfy the conjecture. Complete proof remains open.<\/p>\n
\u267e\ufe0f Riemann Hypothesis (1859~): The 167-Year Wall<\/h2>\n
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.<\/p>\n
Circular logic<\/strong> \u2014 Assumes RH to prove RH (tautology)<\/td>\n
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New Discovery: RH \u27fa MIN<\/p>\n
“The Riemann Hypothesis is equivalent to: ‘For all t, the minimum of |\u03be(\u03c3+it)| occurs at \u03c3=1\/2′” \u2014 A new perspective not explicitly addressed in existing literature<\/p>\n<\/div>\n
\ud83d\udd34 24\/7 Live Verification System<\/h2>\n
Li coefficients are being computed right now<\/p>\n
100 computed hourly \u00b7 All positive = supports Riemann Hypothesis If negative found \u2192 167-year problem solved (historic moment)<\/strong><\/p>\n<\/div>\n
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.<\/strong><\/p>\n
Dr. Yeon Sam-Heum, President:<\/strong> “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\u2014that’s the starting point for the next breakthrough.<\/strong>“<\/p>\n<\/div>\n
\ud83d\udc8c To Future Researchers, and an Invitation to Collaborate<\/h2>\n
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We hope our records become a stepping stone<\/strong> for the next generation.<\/p>\n
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.<\/strong> We hope our documented failures help find that path.<\/p>\n
And \u2014 the door is open.<\/strong> Universities, research institutes, corporations, government agencies. If you want to collaborate, reach out. We work without boundaries.<\/p>\n<\/div>\n
\ud83c\udf1f The Meaning of This Challenge<\/h2>\n
Not achieving complete proof doesn’t make this meaningless.<\/p>\n
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What We Left for Humanity<\/p>\n
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Collatz: 5 partial proofs<\/strong> and verification to 1 trillion<\/li>\n
Riemann: Shimizu(2024) error verification<\/strong> and new equivalence condition<\/li>\n
24 documented approach failures<\/strong> \u2014 so future researchers don’t repeat the same mistakes<\/li>\n
24\/7 live verification system<\/strong> \u2014 a “living verification” that never stops<\/li>\n
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.<\/strong><\/p>\n
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Dr. Yeon Sam-Heum, President:<\/strong> “Mathematics, standardization, any field \u2014 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.<\/strong> This is \u5f18\u76ca\u4eba\u9593.”<\/p>\n<\/div>\n
\ud83c\udf0f \u5f18\u76ca\u4eba\u9593 \u2014 Open Source Declaration<\/h2>\n
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\u5f18\u76ca\u4eba\u9593 (Hongik Ingan)<\/p>\n
“Benefit All Humanity”<\/p>\n
The 4,000-year-old founding philosophy of Korea<\/p>\n<\/div>\n
All research materials are released as free and open source under MIT License<\/strong>.<\/p>\n
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278 files, 97,690 lines<\/td>\n
All sessions, code, documentation public<\/td>\n<\/tr>\n
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24\/7 Live API<\/td>\n
Accessible to anyone<\/td>\n<\/tr>\n
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Collaboration Welcome<\/td>\n
Universities, institutes, corporations, government agencies<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
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