ChatGPT Erdős Problem Cracked in 42 Steps

An amateur mathematician cracked the ChatGPT Erdős problem with 42 iterative prompts on OpenAI's ChatGPT (Quanta Magazine, July 25, 2024). Paul Erdős posed this graph theory puzzle decades ago. The solver refined prompts sequentially to yield the proof.

CoinGecko data (October 10, 2024) shows BTC at $78,079 USD, up 0.5% in 24 hours. Ethereum trades at $2,335.08 USD, up 0.8%. Alternative.me's Fear & Greed Index (October 10, 2024) stands at 33, indicating fear.

USDT pegs at $1.00 USD. XRP holds $1.43 USD. BNB dips 0.4% to $632.40 USD.

Iterative Prompts Parallel Exploratory Data Visualization

Exploratory data visualization uses feedback loops. Analysts create initial plots, identify patterns, and refine charts. ChatGPT's chain-of-thought prompting mirrors this cycle exactly.

Edward Tufte stresses high data-ink ratios in "The Visual Display of Quantitative Information" (1983). Iterations eliminate excess ink to expose core truths.

The amateur began with broad prompts. ChatGPT produced partial proofs and counterexamples from its training data. Targeted refinements zeroed in on the graph theory solution.

This approach resembles small multiples charts. These grids vary one variable to uncover trends, as Stephen Few explains in "Show Me the Numbers" (2012 edition).

Data Visualization Cycles Match ChatGPT Iterations

Plot BTC price on the y-axis (linear scale) versus Fear & Greed Index on the x-axis (linear scale). Use CoinGecko (n=365, January 10 to October 10, 2024) and Alternative.me datasets. Clusters form near BTC $78,079 USD and index 33.

Add a linear trend line to the scatter plot. Filter for 0.5% gainers. Color by 24-hour volume from CoinGecko. Ethereum at $2,335.08 USD emerges prominently.

ChatGPT iterated math proofs similarly. Prompts such as "Identify a counterexample to this graph property" built the solution step by step. This method dodges Tufte's lie factor from scale distortions.

• Asset: BTC · Price (USD): 78,079 · 24h % Change: +0.5% · Sentiment: Fear (Index 33)
• Asset: ETH · Price (USD): 2,335.08 · 24h % Change: +0.8% · Sentiment: Fear (Index 33)
• Asset: USDT · Price (USD): 1.00 · 24h % Change: 0.0% · Sentiment: Pegged
• Asset: XRP · Price (USD): 1.43 · 24h % Change: 0.0% · Sentiment: Neutral
• Asset: BNB · Price (USD): 632.40 · 24h % Change: -0.4% · Sentiment: Fear (Index 33)

CoinGecko provides this table data (October 10, 2024). Scatter plots suit price versus change comparisons better than bar charts or pie charts.

Apply AI-Visualization Parallels in Analytics

Business intelligence tools thrive on iteration. Users ask, "Why did revenue fall?" Analysts start with summary aggregates, then drill into segments by region or product.

Prompt ChatGPT for Python code to generate seaborn scatter plots of BTC and ETH prices at Fear 33. It outputs executable scripts instantly.

Power BI's AI visuals propose iterative refinements. These echo OpenAI's o1-preview model (OpenAI announcement, September 12, 2024), which excels in chain-of-thought reasoning.

Stephen Few notes in "Information Dashboard Design" (2006) that iterative small multiples reveal variance better than static dashboards.

Practical Steps for Crypto Data Iterations

1. Load CoinGecko CSV into Tableau Public. 2. Drag BTC price to columns (linear scale), Fear & Greed to rows (linear scale). 3. Filter to Fear 33 periods. Add ETH on a dual axis with synchronized scales. 4. Create small multiples by weekly cohorts and export.

Test XRP at $1.43 USD against BNB declines. Bullet graphs excel for sentiment variance over pie charts (Few, 2012).

Year-over-year, BTC gained 120% from October 2023 levels (CoinGecko, October 10, 2024), underscoring iteration's value in volatile markets.

AI Propels Data Puzzle Breakthroughs Forward

Quanta Magazine (July 25, 2024) chronicles AI's math triumphs. Tools like Looker and Power BI now embed prompt-driven exploratory analysis.

Crypto markets demand daily testing. BTC stabilizes at $78,079 USD under Fear 33 (CoinGecko, October 10, 2024). Iterative visualizations detect breakouts early.

Analytics teams adopting AI-viz hybrids will dominate enterprise insights. Precise charts cut noise and drive decisions.