🦉 Owlet

← Back to archive

Owlet puzzle #29

Released Monday, August 3, 2026 UTC

1000000007
the answer for puzzle #29

The five clues

  1. A ten-digit prime.
  2. A prime just past a landmark round number.
  3. The smallest prime greater than 10⁹; used widely as a modulus in competitive programming.
  4. It equals 10⁹ + 7, seven greater than a billion (not one).
  5. So common in Codeforces problems that many templates simply hardcode 'const int MOD = 1e9 + 7'.

Backstory

10⁹ + 7 is a prime frequently chosen as the default modulus in competitive programming: large enough to reduce collisions in integer hashing, small enough that products fit in 64-bit integers. It's also a safe prime — (10⁹+7 − 1)/2 = 500000003 is prime.

▶ Play puzzle #29 in practice mode

Or try today's fresh puzzle · Browse the full archive

More puzzles