59 (number)

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58 59 60
Cardinal fifty-nine
Ordinal 59th
(fifty-ninth)
Factorization prime
Prime 17th
Divisors 1, 59
Greek numeral ΝΘ´
Roman numeral LIX, lix
Binary 1110112
Ternary 20123
Senary 1356
Octal 738
Duodecimal 4B12
Hexadecimal 3B16
A regular icosahedron has 59 stellations. Seventeenth stellation of icosahedron.png
A regular icosahedron has 59 stellations.

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

Contents

In mathematics

Fifty-nine is the 17th prime number, and 7th super-prime. It is also a good prime, [1] a Higgs prime, [2] an irregular prime, [3] a Pillai prime, [4] a Ramanujan prime, [5] a safe prime, [6] and a supersingular prime. [7] The next prime number is sixty-one, with which it comprises a twin prime.

There are 59 stellations of the regular icosahedron. [8]

In other fields

Fifty-nine is:

References

  1. "Sloane's A028388 : prime(n) such that prime(n)^2 > prime(n-i)*prime(n+i) for all 1 <= i <= n-1". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. "Sloane's A007459 : a(n+1) = smallest prime > a(n) such that a(n+1)-1 divides the product (a(1)...a(n))^2". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. "Sloane's A000928 : primes p such that at least one of the numerators of the Bernoulli numbers B_2, B_4, ..., B_{p-3} is divisible by p". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. "Sloane's A063980 : primes p such that there exists an integer m such that m! + 1 == 0 (mod p) and p != 1 (mod m)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. "Sloane's A104272 : a(n) is the smallest number such that if x >= a(n), then pi(x) - pi(x/2) >= n, where pi(x) is the number of primes <= x". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  6. "Sloane's A005385 : (p-1)/2 is also prime". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  7. "Sloane's A002267 : primes dividing order of Monster simple group". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  8. H. S. M. Coxeter, P. Du Val, H. T. Flather, and J. F. Petrie. The Fifty-Nine Icosahedra .
  9. Richard Poe, "Parts of the Rosary", TheChantRosary.com, 2-4-2018