Английская Википедия:103 (number)
Шаблон:Infobox number 103 (one hundred [and] three) is the natural number following 102 and preceding 104.
In mathematics
103 is a prime number, the largest prime factor of <math>6!+1=721=7\cdot 103</math>.[1] The previous prime is 101, making them both twin primes.[2] It is the fifth irregular prime,[3] because it divides the numerator of the Bernoulli number <math display=block>B_{24}=-\frac{236364091}{2730}=-\frac{103\cdot 2294797}{2730}.</math>
The equation <math>64^3+94^3=103^3+1</math> makes 103 part of a "Fermat near miss".[4]
There are 103 different connected series-parallel partial orders on exactly six unlabeled elements.[5]
103 is conjectured to be the smallest number for which repeatedly reversing the digits of its ternary representation, and adding the number to its reversal, does not eventually reach a ternary palindrome.[6]
See also
References
Шаблон:IntegersШаблон:Number-stub