103 (one hundred [and] three) is the natural number following 102 and preceding 104.
In mathematics
103 is the 27th prime number, a twin prime with 101, and the largest prime factor of .[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
The equation 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]
In science
103 is the atomic number of lawrencium, a radioactive element named after Ernest Lawrence.
References
- ^ Sloane, N. J. A. (ed.). "Sequence A002583 (Largest prime factor of n! + 1)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A001097 (Twin primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A000928 (Irregular primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A050791 (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.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A007453 (Number of unlabeled connected series-parallel posets with n nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A066450 (Conjectured value of the minimal number to which repeated application of the "reverse and add!" algorithm in base n does not terminate in a palindrome)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.