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Owlet puzzle #72

Released Tuesday, September 15, 2026 UTC

127
the answer for puzzle #72

The five clues

  1. A three-digit number ending in seven, under 150.
  2. A prime one less than a power of two.
  3. A Mersenne prime: 2^n − 1 for some prime n.
  4. It equals 2⁷ − 1.
  5. Its digits sum to 10 and it is a double Mersenne — 2^(2⁷−1)−1 is also famously worked on in the search for larger primes.

Backstory

127 = 2⁷ − 1 is the fourth Mersenne prime, and one of the four Mersenne primes known to Pietro Cataldi by 1588 (with 3, 7, and 31). It's also the 31st prime overall (with exponent 7 in the Mersenne form), and appears in the ASCII table as DEL — the highest 7-bit code.

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