# [An asymptotic formula for the number of totients](An-asymptotic-formula-for-the-number-of-totients-September-25-2026.pdf)

**Author:** OpenAI

**Date:** September 25, 2026

## Citation

```bibtex
@misc{OAI:An-asymptotic-formula-for-the-number-of-totients-September-25-2026,
  author = {{OpenAI}},
  title = {{An asymptotic formula for the number of totients}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/An-asymptotic-formula-for-the-number-of-totients-September-25-2026/An-asymptotic-formula-for-the-number-of-totients-September-25-2026.pdf}{OAI:An-asymptotic-formula-for-the-number-of-totients-September-25-2026}},
  year = {2026}
}
```