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33 (thirty-three) is a positive integer following 32 and preceding 34. Its ordinal form is written "thirty-third" or "33rd".

Properties

  • 33 is an odd composite number.
  • 33 is a repdigit number.
  • Inspired by the Numberphile video,[1] Andrew Booker found the first known solution for the equation x3 + y3 + z3 = 33 for integers x, y, z.[2] The solution is 88661289752875283 + (−8778405442862239)3 + (−2736111468807040)3 = 33.

33-0.png

In googology

In Greek-based number-naming systems, 33 is associated with prefix "tritriaconta-", and with prefix "tretriginti-" in Latin systems.

See also

Sources

  1. Numberphile, The Uncracked Problem with 33 - Numberphile (YouTube video)
  2. Booker, A.R. Cracking the problem with 33. Research in Number Theory 5, 26 (2019). doi:10.1007/s40993-019-0162-1
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