113 (number)

Mathematics

• 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, an emirp, an isolated prime, a Chen prime and a Proth prime as it is a prime number of the form 7\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 and a permutable prime with 131 and 311.
• 113 is a highly cototient number and a centered square number.
• 113 is the denominator of 355/113, an accurate approximation to .

Other uses

• 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

References

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

References

1. "Sloane's A005384 : Sophie Germain primes". OEIS Foundation.
2. "Sloane's A109611 : Chen primes". OEIS Foundation.
3. "Sloane's A072857 : Primeval numbers". OEIS Foundation.
4. "Sloane's A100827 : Highly cototient numbers". OEIS Foundation.
5. "Sloane's A001844 : Centered square numbers". OEIS Foundation.