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59 (number)

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Title: 59 (number)  
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Subject: List of prime numbers, 60 (number), 58 (number), 177 (number), 61 (number)
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59 (number)

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
A regular icosahedron has 59 stellations

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

Contents

  • In mathematics 1
  • In science 2
    • Astronomy 2.1
  • In music 3
  • In sports 4
  • In other fields 5
  • Notes 6

In mathematics

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

Astronomy

In music

In sports

In other fields

Fifty-nine is:

Notes

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