113 (number)

113 prime 30th 1, 113 113 (one hundred [and] thirteen) is the natural number following 112 and preceding 114. Mathematics 113 is a prime number, a Sophie Germain prime,https://oeis.org/A005384 Sloane's A005384 : Sophie Germain primes The On-Line Encyclopedia of Integer Sequences OEIS Foundation 2016-05-26 an emirp, an isolated prime, a Chen prime,https://oeis.org/A109611 Sloane's A109611 : Chen primes The On-Line Encyclopedia of Integer Sequences OEIS Foundation 2016-05-26 a highly cototient number,https://oeis.org/A100827 Sloane's A100827 : Highly cototient numbers The On-Line Encyclopedia of Integer Sequences OEIS Foundation 2016-05-26 a centered square number,https://oeis.org/A001844 Sloane's A001844 : Centered square numbers The On-Line Encyclopedia of Integer Sequences OEIS Foundation 2016-05-26 and a Proth prime as it is a prime number of the form 113 is also an Eisenstein prime with no imaginary part and real part of the form . In decimal, this prime is a primeval numberhttps://oeis.org/A072857 Sloane's A072857 : Primeval numbers The On-Line Encyclopedia of Integer Sequences OEIS Foundation 2016-05-26 and a permutable prime with 131 and 311. 113 is the denominator of 355/113, an accurate approximation to . is the smallest generalized Fermat prime with odd base and .A275530 The ratio , where is the prime-counting function, attains its maximum value of at .A209883 References Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 134 1 Category:Integers Category: Prime numbers