← 192 193 194 →
Cardinalone hundred ninety-three
Ordinal193rd
(one hundred ninety-third)
Factorizationprime
Prime44th
Divisors1, 193
Greek numeralΡϞΓ´
Roman numeralCXCIII
Binary110000012
Ternary210113
Senary5216
Octal3018
Duodecimal14112
HexadecimalC116

193 (one hundred [and] ninety-three) is the natural number following 192 and preceding 194.

In mathematics

193 is a prime number, and a Pierpont prime, implying that a 193-gon can be constructed using a compass, straightedge, and angle trisector.[1] It is the only odd prime known for which 2 is not a primitive root of .[2] It is the number of compositions of 14 into distinct parts.[3] It is also part of the prime quadruplet (191, 193, 197, 199).

See also

References

  1. ^ Sloane, N. J. A. (ed.). "Sequence A005109 (Class 1- (or Pierpont) primes: primes of the form 2^t*3^u + 1)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ E. Friedman, "What's Special About This Number Archived 2018-02-23 at the Wayback Machine" Accessed 2 January 2006 and again 15 August 2007.
  3. ^ Sloane, N. J. A. (ed.). "Sequence A032020 (Number of compositions (ordered partitions) of n into distinct parts)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-05-24.
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