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47 (number)
| Field | Value | |
|---|---|---|
| number | 47 | |
| numeral | heptaquadragesimal | factorization = prime |
| prime | 15th | |
| divisor | 1, 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.
In popular culture
Pomona College
As an in-joke
Other
Late rapper Capital Steez was infatuated with the number 47 and what it meant spiritually. He believed the number 47 was the "perfect expression of balance in the world", representing the tension between the heart and the brain (the fourth and seventh chakras, respectively.) The number featured on the cover of AmeriKKKan Korruption, stylized to resemble a swastika.
References
References
- "Sloane's A005385 : Safe primes". OEIS Foundation.
- "Sloane's A055010 : a(0) = 0; for n > 0, a(n) = 3*2^(n-1) - 1". OEIS Foundation.
- "Sloane's A007703 : Regular primes". OEIS Foundation.
- "Sloane's A038134 : Cluster primes". OEIS Foundation.
- {{Cite OEIS. A007510. Single (or isolated or non-twin) primes: Primes p such that neither p-2 nor p+2 is prime.
- "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.
- "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.
- "Sloane's A002267 : The 15 supersingular primes". OEIS Foundation.
- (2006). "Symmetry and the Monster: One of the Greatest Quests of Mathematics". [[Oxford University Press]].
- "Capital Steez: King Capital". Rosenberg, Eli.
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