Fermat's Theorem
A Prime 
can be represented in an essentially unique manner in the form 
for integral 
and 
Iff 
or 
. It can be restated by letting
then all Relatively Prime solutions
to the problem of representing 
for 
any Integer areachieved by means of successive applications of the Genus Theorem and Composition Theorem. There isan analog of this theorem for Eisenstein Integers.See also Eisenstein Integer, Square Number
References
Shanks, D. Solved and Unsolved Problems in Number Theory, 4th ed. New York: Chelsea, pp. 142-143, 1993.
- Pearson Mode Skewness
- Pearson's Correlation
- Pearson's Function
- Pearson Skewness
- Pearson's Skewness Coefficients
- Pearson System
- Pearson Type III Distribution
- Peaucellier Cell
- Peaucellier Inversor
- Peaucellier's Linkage
- Pedal
- Pedal Circle
- Pedal Coordinates
- Pedal Curve
- Pedal Line
- Pedal Point
- Pedal Triangle
- Peg Knot
- Peg Solitaire
- Peg Top
- Peirce's Theorem
- p-Element
- Pell Equation
- Pell-Lucas Number
- Pell-Lucas Polynomial