103 (number) explained

Number:	103
Factorization:	prime
Prime:	27th

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

In mathematics

103 is a prime number, and the largest prime factor of

6 ! +1=721=7 ⋅ 103 . The previous prime is 101. This makes 103 a twin prime. It is the fifth irregular prime, because it divides the numerator of the Bernoulli number $$B\_=-\backslash frac=-\backslash frac.$$

The equation

64 ^{3+94} ^{3=103} ^{3+1} makes 103 part of a "Fermat near miss".^[1]

There are 103 different connected series-parallel partial orders on exactly six unlabeled elements.

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.

In science

103 is the atomic number of lawrencium, a radioactive element named after Ernest Lawrence.

Notes and References

1. Consider the Diophantine equation x^3 + y^3 = z^3 + 1 (1 < x < y < z) or 'Fermat near misses'. Sequence gives values of z in monotonic increasing order..