59 (number)

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58 59 60
Cardinal fifty-nine
Ordinal 59th
(fifty-ninth)
Factorization prime
Divisors 1, 59
Roman numeral LIX
Binary 1110112
Ternary 20123
Quaternary 3234
Quinary 2145
Senary 1356
Octal 738
Duodecimal 4B12
Hexadecimal 3B16
Vigesimal 2J20
Base 36 1N36

59 (fifty-nine) is the natural number following 58 and preceding 60.

In mathematics[edit]

Fifty-nine is the 17th smallest prime number. The next is sixty-one, with which it comprises a twin prime. 59 is an irregular prime, a safe prime and the 14th supersingular prime. It is an Eisenstein prime with no imaginary part and real part of the form 3n - 1. Since 15! + 1 is divisible by 59 but 59 is not one more than a multiple of 15, 59 is a Pillai prime.

It is also a highly cototient number.

There are 59 stellations of the icosahedron.[1]

59 is one of the factors that divides the smallest composite Euclid number. In this case 59 divides the Euclid number 13# + 1 = 2 * 3 * 5 * 7 * 11 * 13 + 1 = 59 * 509.

In science[edit]

Astronomy[edit]

In music[edit]

In sports[edit]

In other fields[edit]

Fifty-nine is:

Notes[edit]

  1. ^ H. S. M. Coxeter, P. Du Val, H. T. Flather, and J. F. Petrie. The Fifty-Nine Icosahedra.
  2. ^ 59 Seconds Video Festival