103 (number)

103 (one hundred [and] three) is the natural number following 102 and preceding 104.

103 is a prime number, the largest prime factor of ${\displaystyle 6!+1=721=7\cdot 103}$.^[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 $${\displaystyle B_{24}=-\frac{236364091}{2730}=-\frac{103\cdot 2294797}{2730}.}$$

The equation ${\displaystyle 64^3+94^3=103^3+1}$ 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]

• 103 (disambiguation)

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