113 (number)

• 113 is the 30th prime number (following 109 and preceding 127), so it can only be divided by one and itself. 113 is a Sophie Germain prime,{{Cite web|url=https://oeis.org/A005384|title=Sloane's A005384 : Sophie Germain primes|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-26}} an emirp, an isolated prime, a Chen prime{{Cite web|url=https://oeis.org/A109611|title=Sloane's A109611 : Chen primes|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-26}} and a Proth prime as it is a prime number of the form $7\backslash times\; 2^\{4\}+1.$ 113 is also an Eisenstein prime with no imaginary part and real part of the form $3n\; -\; 1$. In decimal, this prime is a primeval number{{Cite web|url=https://oeis.org/A072857|title=Sloane's A072857 : Primeval numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-26}} and a permutable prime with 131 and 311.
• 113 is a highly cototient number{{Cite web|url=https://oeis.org/A100827|title=Sloane's A100827 : Highly cototient numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-26}} and a centered square number.{{Cite web|url=https://oeis.org/A001844|title=Sloane's A001844 : Centered square numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-26}}
• 113 is the denominator of 355/113, an accurate approximation to {{pi}}.

• 113 is also the atomic number of nihonium.
• A113 is a Pixar recurring inside joke or Easter Egg, e.g.: (WALL-E) = (W-A113).
• 113 is the first full-sized Bluebird bus at Essex North Shore Agricultural and Technical High School

• 113 (disambiguation)

{{Reflist}}

• Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 134

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Category:Integers