Owlet puzzle #58
Released Tuesday, September 1, 2026 UTC
33550336
the answer for puzzle #58
The five clues
- An eight-digit multiple of eight thousand one hundred ninety-one.
- Its digit sum is 28.
- It lies between 33 million and 34 million.
- A perfect number — the next after 8128.
- Equal to 2¹² · (2¹³−1), where 2¹³−1 = 8191 is a Mersenne prime; the fifth known perfect number.
Backstory
33,550,336 is the fifth perfect number, corresponding to the Mersenne prime 2¹³ − 1 = 8191. Every even perfect number has the form 2^(p−1)·(2^p − 1) where 2^p − 1 is prime — a theorem proved by Euclid and completed by Euler.
▶ Play puzzle #58 in practice mode
Or try today's fresh puzzle · Browse the full archive