ChatGPT's image model is better at math than most people
The AI solved a tricky gcd identity involving Euler's totient function in seconds...
Deep Dive
A Reddit user submitted a math problem asking to prove that sum_{k=1}^n gcd(k,n) = sum_{d|n} d * phi(n/d), where phi is Euler's totient function.
Key Points
- ChatGPT's image model correctly solved a complex gcd-totient identity, producing a full proof from a screenshot input.
- Achieved 98% accuracy on similar number theory problems, up from 75% with text-only GPT-4o.
- Model used multiplicative function properties and divisor summation to derive the result step-by-step.
Why It Matters
AI that can prove abstract math theorems opens doors for automated cryptography auditing and research assistance.