Ad
related to: fermat's last theorem examples list
Search results
Results From The WOW.Com Content Network
In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b, and c satisfy the equation a n + b n = c n for any integer value of n greater than 2. The cases n = 1 and n = 2 have been known since antiquity to have infinitely many solutions. [1]
Fermat's Last Theorem states that no three positive integers (a, b, c) can satisfy the equation a n + b n = c n for any integer value of n greater than 2. (For n equal to 1, the equation is a linear equation and has a solution for every possible a and b.
Fermat's last theorem Fermat's last theorem, one of the most famous and difficult to prove theorems in number theory, states that for any integer n > 2, the equation a n + b n = c n has no positive integer solutions. Fermat's little theorem Fermat's little theorem field extension A field extension L/K is a pair of fields K and L such that K is ...
These topics are basic to the field, either as prototypical examples, or as basic objects of study. Algebraic number field. Gaussian integer, Gaussian rational; Quadratic field; Cyclotomic field; Cubic field; Biquadratic field; Quadratic reciprocity; Ideal class group; Dirichlet's unit theorem; Discriminant of an algebraic number field ...
Fermat's Last Theorem, formulated in 1637, states that no three positive integers a, b, and c can satisfy the equation + = if n is an integer greater than two (n > 2).. Over time, this simple assertion became one of the most famous unproved claims in mathematics.
A common example of an NP problem not known to be in P is the Boolean ... (offered a cash prize for the solution to Fermat's Last Theorem) abc conjecture;
Fermat's Last Theorem: number theory: ⇔The modularity theorem for semistable elliptic curves. Proof completed with Richard Taylor. 1994: Fred Galvin: Dinitz conjecture: combinatorics: 1995: Doron Zeilberger [16] Alternating sign matrix conjecture, enumerative combinatorics: 1996: Vladimir Voevodsky: Milnor conjecture: algebraic K-theory
To prove the Fermat's Last Theorem for a strong irregular prime p is more difficult (since Kummer proved the first case of Fermat's Last Theorem for B-regular primes, Vandiver proved the first case of Fermat's Last Theorem for E-regular primes), the most difficult is that p is not only a strong irregular prime, but 2p + 1, 4p + 1, 8p + 1, 10p ...