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59 (number) - Wikipedia

From Wikipedia, the free encyclopedia

Natural number

A regular icosahedron has 59 stellations.

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

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]

Fifty-nine is:

  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
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