Difference between revisions 484662 and 484665 on testwiki

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== Number 0 ==
0 is not a positive integer, but it is a natural number. It does not have any positive prime factorizations, but it's trivially divisible by every number. So can we think 0 is a highly composite number?<ref name=":0">Because it is divisible by all numbers.</ref>

0 is also be represented as "0" in every bases.

== Number 1 ==
1 is a positive integer and the smallest number. Some thinks it should be called a unit. Others think it should be a prime, and the primality of 1 is disputed.<ref name=":0" /> It also be thought that there is no base 1, because in base 1 only number is zero (impossible!) 

What if 1 is a prime?

Well, there are some ''invalid reasons'' for that.<ref>Invalid reasons means it disputes mathematically.</ref> 

* If 1 is a prime, every other numbers will have level trivially be (any number) larger or equal to the level addtained. For example, 1481 is a prime, with level 1 and number 1. But what if 1 is a prime? There will be no complete factorization, no unique factorizations. 1481 would be equal to 1481 x 1, 1481 x 1 x 1, 1481 x 1 x 1 x 1, ... 
* As 0^n = 0, 1^n = 1, these if served as a highly composite or prime numbers, it will make trivially living different. 0 and 1 are just have no prime factorizations.
*If 1 is a prime, well, '''every''' numbers are composite.
1 is also be represented as "1" in every bases.

== List of numbers from 1 to 1000 ==

=== {{anchor|001}} 1 to 100 ===
{| class="wikitable" 
!Numbers
!Prime factors
(contracted; show full)|1000
|2 x 2 x 2 x 5 x 5 x 5
|6
|3
|}

== References ==
<references/>