al·ge·bra
ˈaljəbrə/ noun
noun: algebra
the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations. a system of algebra based on given axioms.


Some numbers, such as your phone number or your Social Security number, are decidedly more important than others. One of the cornerstones of Algebra, frankly all of mathematics, is numbers! Here is my list of some of the most important numbers in Algebra:
1) Of course the first number must be: 1!!
The number one is far more special than a prime! It is the unit (the building block) of the positive integers, hence the only integer which merits its own existence axiom in Peano’s axioms. It is the only multiplicative identity (1^{.}a = a^{.}1 = a for all numbers a). It is the only perfect nth power for all positive integers n. It is the only positive integer with exactly one positive divisor. But it is not a prime.
source: Primes FAQ
