AbstractWe give the complete solutions to the diophantine equation X+Y+Z=W in coprime positive integers X, Y, Z, W such that each of the numbers X, Y, Z, W has prime factors 2 and 3 only. The solution with the largest value of W is 2333 + 29 + 1= 36. The method works for any pair of primes (p, q) in place of (2, 3)
It has been proved that if p is an odd prime, y> 1, k ≥ 0, n is an integer greater than or equal ...
In this paper, I investigate polynomial solutions to the Diophantine equa tion, X² +Y³ = 6...
<正> For the Diophantine equation a~x + b~y = c~z, (1) where a, b, c are different primes, Nage...
AbstractWe give the complete solutions to the diophantine equation X+Y+Z=W in coprime positive integ...
Diophantine equation is an algebraic equation in two or more variables in which solutions to it are ...
AbstractLet p, q be primes and p>3. Let further x, y and m be positive integers such that (x,y)=1. I...
International audienceThis paper gives a complete four-parameter solution of the simultaneous diopha...
In this paper, the existence of effectively computable bounds on the solutions to the diophantine eq...
he purpose of this study is to determine the existence, types and the cardinality of the solutions f...
AbstractBy Theorems 1, 2 and 3 it becomes a simple matter to solve any equation px−qy=n,pxqy±pz±qw±1...
AbstractIt is proven that the Diophantine equation x2 + 11 = 3n has as its only solution (x, n) = (4...
We know already that the set Of positive integers, which are satisfying the Pythagoras equation Of t...
In this paper, all the solutions of the Diophantine equations x2 + 5a · pb = yn (for p = 29, 41) are...
AbstractLet D>2 be a positive integer, and let p be an odd prime not dividing D. In this paper, usin...
This paper investigates and determines the solutions for the Diophantine equation x2 + 4.7b = y2r, w...
It has been proved that if p is an odd prime, y> 1, k ≥ 0, n is an integer greater than or equal ...
In this paper, I investigate polynomial solutions to the Diophantine equa tion, X² +Y³ = 6...
<正> For the Diophantine equation a~x + b~y = c~z, (1) where a, b, c are different primes, Nage...
AbstractWe give the complete solutions to the diophantine equation X+Y+Z=W in coprime positive integ...
Diophantine equation is an algebraic equation in two or more variables in which solutions to it are ...
AbstractLet p, q be primes and p>3. Let further x, y and m be positive integers such that (x,y)=1. I...
International audienceThis paper gives a complete four-parameter solution of the simultaneous diopha...
In this paper, the existence of effectively computable bounds on the solutions to the diophantine eq...
he purpose of this study is to determine the existence, types and the cardinality of the solutions f...
AbstractBy Theorems 1, 2 and 3 it becomes a simple matter to solve any equation px−qy=n,pxqy±pz±qw±1...
AbstractIt is proven that the Diophantine equation x2 + 11 = 3n has as its only solution (x, n) = (4...
We know already that the set Of positive integers, which are satisfying the Pythagoras equation Of t...
In this paper, all the solutions of the Diophantine equations x2 + 5a · pb = yn (for p = 29, 41) are...
AbstractLet D>2 be a positive integer, and let p be an odd prime not dividing D. In this paper, usin...
This paper investigates and determines the solutions for the Diophantine equation x2 + 4.7b = y2r, w...
It has been proved that if p is an odd prime, y> 1, k ≥ 0, n is an integer greater than or equal ...
In this paper, I investigate polynomial solutions to the Diophantine equa tion, X² +Y³ = 6...
<正> For the Diophantine equation a~x + b~y = c~z, (1) where a, b, c are different primes, Nage...
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