Number Gossip

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Unique Properties of 17

  • There are 17 distinct sets of regular polygons that can be packed around a point (e.g., 4 squares, 2 hexagons and 2 triangles, etc)
  • There are exactly 17 ways to express 17 as the sum of 1 or more primes - 17 is the only integer which is equal to the number of prime partitions of itself
  • 17 is the number of wallpaper groups
  • 17 is the only prime of the form pq + qp, where p and q are prime
  • 17 is the only multidigit number n such that n + SOD(n) and n - SOD(n) are square numbers, where SOD means sum of digits
  • 17 is described at MIT as 'the most random number', according to hackers' lore
  • 17 is the number of syllables in a haiku
  • 17 is the smallest odd prime such that no odd Fibonacci number is divisible by it
  • 17 is the minimum number of Sudoku clues that produces a unique answer
  • Web pages about the number 17:

Rare Properties of 17

Hungry

Common Properties of 17

Deficient
Evil
Odd
Prime
Square-free
Twin