{"type":"rich","version":"1.0","provider_name":"Transistor","provider_url":"https://transistor.fm","author_name":"The AI Cookbook Show by Malcolm Werchota","title":"#128 - How ChatGPT Cracked an 80-Year-Old Math Problem for $1,000","html":"<iframe width=\"100%\" height=\"180\" frameborder=\"no\" scrolling=\"no\" seamless src=\"https://share.transistor.fm/e/5eab05d8\"></iframe>","width":"100%","height":180,"duration":1624,"description":"Nature headline 5 days ago: 'AI cracks an 80-year-old mathematical challenge.' But the wild part isn't the problem — it's the method. ChatGPT (yes, YOUR ChatGPT) cracked Paul Erdős's Planar Unit Distance problem. Not with better geometry — by reformulating the entire problem into algebraic number theory. Cross-domain synthesis. Cost: ~$1,000 in tokens (= a business trip Zurich-Hannover). Verified by 9 Fields Medal-level mathematicians. Plus: DeepMind's AlphaProof Nexus + Lean counter-punch (9 Erdős problems, 44 conjectures), and what this means for your R&D department.","thumbnail_url":"https://img.transistorcdn.com/K89WOul5lFP6eyTkepgc48DwnmOLDjvzPf-VdoMUwqc/rs:fill:0:0:1/w:400/h:400/q:60/mb:500000/aHR0cHM6Ly9pbWct/dXBsb2FkLXByb2R1/Y3Rpb24udHJhbnNp/c3Rvci5mbS84Y2I2/YTZiNWNmNGE5NmYy/NzE4ZTAyMTYxYjNh/ZmM5Zi5qcGc.webp","thumbnail_width":300,"thumbnail_height":300}