- 1. Tal Cohen solved ChatGPT Erdős problem #218 in weeks on Azure.
- 2. Cloud AI cuts R&D 80% at $0.002/1K tokens (Microsoft).
- 3. BTC $78K, Fear & Greed 33 shifts funds to MSFT +15% YTD.
Amateur Tal Cohen solved ChatGPT Erdős problem #218 on September 15, 2024. He used iterative prompts on Microsoft Azure OpenAI for cap set bounds proof in finite fields. Erdős Problems site verified it. BTC hit $78,003 USD (CoinGecko, September 20, 2024), Fear & Greed Index at 33.
Paul Erdős posed #218 in 1971, offering $25 for cap set progress: largest subsets in finite fields without three-term arithmetic progressions. Cohen refined combinatorial arguments via ChatGPT-4o.
How Cohen Cracked ChatGPT Erdős Problem #218
Cohen began with broad cap set prompts, iterating outputs on Azure H100 GPUs. Sessions processed 10,000+ tokens at $0.002 per 1K input (Microsoft Azure pricing, 2024). Total cost: $50 versus $500K PhD salary equivalent.
DeepMind's FunSearch (Nature, December 2023) used similar methods for cap sets. Cohen replicated sans code, per his GitHub. Startups now query proofs without PhDs.
McKinsey's 2024 AI report cites executives achieving 80% R&D timeline cuts via cloud AI. ROI reaches 5x as APIs undercut lab costs (Synergy Research, Q3 2024).
Startup R&D Blueprint from ChatGPT Erdős Success
Replicate Cohen's method:
1. Narrow Scope: Focus proofs or models, like fintech risks. 2. Prompt Iterations: Chain-of-thought, 20-50 rounds. Use LangChain for Azure. 3. Scale Securely: Azure OpenAI Studio yields 30% accuracy gains on fine-tuned data.
Jane Street optimizes algos 15% faster (CEO Matt Levine, Bloomberg, October 2024). Polygon cuts consensus audits 60% via simulations. Cybereason simulates breaches 10x quicker (company reports, 2024).
Azure OpenAI Service offers 99.9% SLAs.
Cloud AI Market Share and Financials
Azure holds 35% enterprise AI share (Synergy Research, Q3 2024). AWS Bedrock at 28%, Google Vertex 22%. Azure's OpenAI deal lifted MSFT +15% YTD to $420/share.
Crypto signals caution: Fear & Greed 33 (CoinGecko). BTC at $78,003 USD amid Fed pause. Capital flows to AI: NVDA +150% YTD, SKYY ETF +40%.
- Asset: BTC · Price (USD): 78,003 · 24h Change: +0.5% · Market Cap (B USD): 1,540
- Asset: ETH · Price (USD): 2,331 · 24h Change: +0.5% · Market Cap (B USD): 280
- Asset: SOL · Price (USD): 145 · 24h Change: -0.2% · Market Cap (B USD): 67
- Asset: MSFT · Price (USD): 420 · 24h Change: +1.2% · Market Cap (B USD): 3,110
a16z's $7.2B AI fund (April 2024) backs prompt teams. Anthropic hits $18.4B valuation on IP speed. GPT-5 (OpenAI roadmap, Q1 2025) accelerates invention.
Moats, Risks in AI R&D Disruption
Cloud AI flattens PhD barriers. MIT sees 40% math enrollment drop (Chronicle of Higher Ed, 2024). Y Combinator W25: 25% AI-math startups.
Hallucinations require checks: Cohen validated 70% manually. Azure filters unsafe prompts. EU AI Act (August 2024) demands high-risk transparency.
Erdős Problems #218 notes 5% state-of-the-art advance. CoinGecko Fear & Greed as of September 20, 2024.
Startups allocate 10% R&D to cloud AI pilots. Models compound returns.
Frequently Asked Questions
What ChatGPT Erdős problem did Tal Cohen solve?
Erdős #218 on cap set bounds in finite fields, proven via iterative Azure OpenAI prompts, verified September 15, 2024.
How can startups replicate this ChatGPT Erdős problem approach in R&D?
Define narrow problems, craft chain-of-thought prompts, integrate Azure APIs—compress timelines 80%, per McKinsey 2024.
Why use cloud like Azure for ChatGPT Erdős problem breakthroughs?
Scalable H100 GPUs, pay-per-token at $0.002/1K, democratize PhD-level math for startups without hardware.
BTC outlook amid Fear & Greed 33 with ChatGPT Erdős news?
BTC at $78,003 USD tests resistance; AI shift boosts MSFT +15% YTD over crypto.