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47 (number)


FieldValue
number47
numeralheptaquadragesimalfactorization = prime
prime15th
divisor1, 47

47 (forty-seven) is the natural number following 46 and preceding 48. It is a prime number.

It is the adopted favorite number of Pomona College, a liberal arts college in Southern California, whose alumni have added cultural references to it in numerous places, including many Star Trek episodes.

Mathematics

47 is a safe prime, a Thabit prime, a regular prime, a cluster prime, an isolated prime, a Ramanujan prime, and a Higgs prime.

47 is also a supersingular prime. It is the last consecutive prime number that divides the order of at least one sporadic group.

References

References

  1. "Sloane's A005385 : Safe primes". OEIS Foundation.
  2. "Sloane's A055010 : a(0) = 0; for n > 0, a(n) = 3*2^(n-1) - 1". OEIS Foundation.
  3. "Sloane's A007703 : Regular primes". OEIS Foundation.
  4. "Sloane's A038134 : Cluster primes". OEIS Foundation.
  5. {{Cite OEIS. A007510. Single (or isolated or non-twin) primes: Primes p such that neither p-2 nor p+2 is prime.
  6. "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.
  7. "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.
  8. "Sloane's A002267 : The 15 supersingular primes". OEIS Foundation.
  9. (2006). "Symmetry and the Monster: One of the Greatest Quests of Mathematics". [[Oxford University Press]].
  10. "Capital Steez: King Capital". Rosenberg, Eli.
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