59 (number)

In mathematics

59 is the 17th prime number, and 7th super-prime. It is also a good prime, a Higgs prime, an irregular prime, a Pillai prime, a Ramanujan prime, a safe prime, and a supersingular prime. The next prime number is sixty-one, with which it comprises a twin prime.

There are 59 stellations of the regular icosahedron.

In other fields

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 a button commonly worn by feminist activists in the 1970s; this was based on the claim that a woman earned 59 cents to an equally qualified man's dollar.

References

References

1. "Sloane's A028388 : prime(n) such that prime(n)^2 > prime(n-i)*prime(n+i) for all 1 <= i <= n-1". 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". 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". 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)". 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". OEIS Foundation.
6. "Sloane's A005385 : (p-1)/2 is also prime". OEIS Foundation.
7. "Sloane's A002267 : primes dividing order of Monster simple group". OEIS Foundation.
8. [[Coxeter. H. S. M. Coxeter]], P. Du Val, H. T. Flather, and J. F. Petrie. ''[[The Fifty-Nine Icosahedra]]''.