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59 (number)

From Wikipedia, the free encyclopedia
Natural number
← 5859 60 →
Cardinalfifty-nine
Ordinal59th
(fifty-ninth)
Factorizationprime
Prime17th
Divisors1, 59
Greek numeralΝΘ´
Roman numeralLIX,lix
Binary1110112
Ternary20123
Senary1356
Octal738
Duodecimal4B12
Hexadecimal3B16
A regularicosahedron has 59stellations.

59 (fifty-nine) is thenatural number following58 and preceding60.

In mathematics

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Fifty-nine is the 17thprime number, and 7thsuper-prime. It is also agood prime,[1] aHiggs prime,[2] anirregular prime,[3] aPillai prime,[4] aRamanujan prime,[5] asafe prime,[6] and asupersingular prime.[7] The next prime number issixty-one, with which it comprises atwin prime.

There are 59 stellations of theregular icosahedron.[8]

In other fields

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Fifty-nine is:

  • The "59-minute rule" is an informal rule in business, whereby (usually near a holiday) employees may be allowed to leave work early, often to beat heavy holiday traffic (the 59 minutes coming from the rule that leaving one full hour early requires the use of leave, whereas leaving 59 minutes early would not).
  • The number on abutton commonly worn byfeminist activists in the1970s; this was based on the claim that a woman earned 59cents to an equally qualified man'sdollar.

References

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  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.
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