Results 71 to 80 of about 651 (161)

The Fermat factorization method revisited [PDF]

, 2009
We consider the well known Fermat factorization method ({\it FFM}) when it is applied on a balanced RSA modulus $N=p\, q>0$, with primes $p$ and $q$ supposed of equal length.
Christophe GRENIER, Robert ERRA
core  

Proof of the impossibility of the fermat equation Xp + Yp = Zp for special values of p and of the more general equation bXn + cYn = dZn

, 1984
This paper continues the search to determine for what exponents n Fermat's Last Theorem is true. The main theorem and Corollary 1 consider the set of prime exponents p for which mp + 1 is prime for certain even integers m and prove the truth of FLT in ...
Powell, Barry J
core   +1 more source

The Fermat equation over quadratic fields

, 1982
In this thesis we attempt to generalize some of Kummer's work on Fermat's Last Theorem over the rational numbers to quadratic fields. In particular, under certain congruence conditions it is shown that the Fermat equation of exponent p has no solution ...
Hao, Hsin-Seng Fred
core  

An elementary proof of Fermat-Catalan conjecture.

, 2014
4 pages.We begin with Fermat-Catalan equation and solve ...
Ghannouchi, Jamel
core  

On Entire solutions of system of Fermat-type difference and partial differential-difference equations in $\mathbb{C}^n$

, 2023
The equation $f^n+g^n=1$, $n\in\mathbb{N}$ can be regarded as the Fermat Diophantine equation over the function field. In this paper we study the characterization of entire solutions of some system of Fermat type functional equations by taking $e^{g_1(z)}
Haldar, Goutam
core  

An elementary proof of Fermat-Wiles theorem.

, 2014
We begin with Fermat equation and solve ...
Ghannouchi, Jamel
core  

Fermat Principle, Ramsey Theory and Metamaterials. [PDF]

Materials (Basel), 2023
Frenkel M, Shoval S, Bormashenko E.
europepmc   +1 more source

Fermat\u27s Last Theorem

, 2014
First conjectured by Fermat in the 1630s, Fermat\u27s Last Theorem has cause a great deal of advancement in the field of number theory. It would take the introduction of an entire new branch of mathematics in order to devise a proof for the rather ...
Forcier, William
core  

Fermat's Equation in Matrices [PDF]

, 1995
The Fermat equation is solved in integral two by two matrices of determinant one as well as in finite order integral three by three ...
Khazanov, Alex
core  

An Efficient Grid-Based Geocasting Scheme for Wireless Sensor Networks. [PDF]

Sensors (Basel), 2023
Wang NC, Tsai MF, Lee CY, Chen YL, Wong SH.   +4 more
europepmc   +1 more source