Fermat's theorem
Encyclopedia
The works of 17th century mathematician Pierre de Fermat
engendered many theorem
s. Fermat's theorem may refer to one of the following theorems:
Pierre de Fermat
Pierre de Fermat was a French lawyer at the Parlement of Toulouse, France, and an amateur mathematician who is given credit for early developments that led to infinitesimal calculus, including his adequality...
engendered many theorem
Theorem
In mathematics, a theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and previously accepted statements, such as axioms...
s. Fermat's theorem may refer to one of the following theorems:
- Fermat's Last TheoremFermat's Last TheoremIn number theory, Fermat's Last Theorem states that no three positive integers a, b, and c can satisfy the equation an + bn = cn for any integer value of n greater than two....
- Fermat's little theoremFermat's little theoremFermat's little theorem states that if p is a prime number, then for any integer a, a p − a will be evenly divisible by p...
- Fermat's theorem on sums of two squares
- Fermat's theorem (stationary points)Fermat's theorem (stationary points)In mathematics, Fermat's theorem is a method to find local maxima and minima of differentiable functions on open sets by showing that every local extremum of the function is a stationary point...
- Fermat's principleFermat's principleIn optics, Fermat's principle or the principle of least time is the principle that the path taken between two points by a ray of light is the path that can be traversed in the least time. This principle is sometimes taken as the definition of a ray of light...
- Fermat polygonal number theoremFermat polygonal number theoremIn additive number theory, the Fermat polygonal number theorem states that every positive integer is a sum of at most -gonal numbers. That is, every positive number can be written as the sum of three or fewer triangular numbers, and as the sum of four or fewer square numbers, and as the sum of...