In Mathematics
233 is an irregular prime, a full reptend prime, a cousin prime, a Chen prime, a Fibonacci prime and a sexy prime. It is the 13th Fibonacci number. It is an Eisenstein prime of the form with no imaginary part. Since 233 × 2 + 1 = 467, another prime, 233 is a Sophie Germain prime. 233 is also a prime triplet (with 227 and 229).
It is the 13th Fibonacci number, being the sum of 89 and 144. Being an odd-indexed Fibonacci number, it is also a Markov number, appearing in solutions to the Markov Diophantine equation: (1, 89, 233), (89, 233, 610), (233, 610, 426389), ... It is also the second (non-trivial) Fibonacci number whose digits and digit sum are also Fibonacci numbers.
In base 10 there is no integer that added up to its own digits yields 233, hence 233 is a self number. In base 3, the sum of 233's digits is composite; no smaller prime has this property.
Read more about this topic: 233 (number)
Famous quotes containing the word mathematics:
“... though mathematics may teach a man how to build a bridge, it is what the Scotch Universities call the humanities, that teach him to be civil and sweet-tempered.”
—Amelia E. Barr (1831–1919)
“In mathematics he was greater
Than Tycho Brahe, or Erra Pater:
For he, by geometric scale,
Could take the size of pots of ale;
Resolve, by sines and tangents straight,
If bread and butter wanted weight;
And wisely tell what hour o’ th’ day
The clock doth strike, by algebra.”
—Samuel Butler (1612–1680)