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233 (number)

From Wikipedia, the free encyclopedia
232 233 234
Cardinaltwo hundred thirty-three
Ordinal233rd
(two hundred thirty-third)
Factorizationprime
Primeyes
Greek numeralΣΛΓ´
Roman numeralCCXXXIII, ccxxxiii
Binary111010012
Ternary221223
Senary10256
Octal3518
Duodecimal17512
HexadecimalE916

233 (two hundred [and] thirty-three) is the natural number following 232 and preceding 234.

In mathematics

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233 is a Sophie Germain prime,[1] a Pillai prime,[2] and a Ramanujan prime.[3] It is a Fibonacci prime, a fibonacci number that is also a prime number.[4]

There are exactly 233 maximal planar graphs with ten vertices.[5]

There are 233 connected topological spaces with four points.[6]

It is the hypotenuse of a primitive Pythagorean triple: 2332 = 1052 + 2082.

References

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  1. Sloane, N. J. A. (ed.). "Sequence A005384 (Sophie Germain primes p: 2p+1 is also prime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. Sloane, N. J. A. (ed.). "Sequence A063980 (Pillai primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. Sloane, N. J. A. (ed.). "Sequence A104272 (Ramanujan primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. Sloane, N. J. A. (ed.). "Sequence A005478 (Prime Fibonacci numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. Sloane, N. J. A. (ed.). "Sequence A000109 (Number of simplicial polyhedra with n nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  6. Sloane, N. J. A. (ed.). "Sequence A001929 (Number of connected topologies on n labeled points)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.