In number theory, the Lander, Parkin, and Selfridge conjecture concerns the integer solutions of equations which contain sums of like powers. The equations...

complex number whose real part is greater than 1. The Lander, Parkin, and Selfridge conjecture concerns the minimal value of m + n in ∑ i = 1 n a i k...

this conjecture is false (and therefore, a counterexample should exist). Sierpinski number New Mersenne conjecture Lander, Parkin, and Selfridge conjecture...

theory, the Fermat–Catalan conjecture is a generalization of Fermat's Last Theorem and of Catalan's conjecture. The conjecture states that the equation...

a^{6}+b^{6}=c^{6}+d^{6}} has a nontrivial solution, but the Lander, Parkin, and Selfridge conjecture would imply that it does not. n 6 − 1 {\displaystyle n^{6}-1}...

of the variables below 1,000,000. In 1967, L. J. Lander, T. R. Parkin, and John Selfridge conjectured that if ∑ i = 1 n a i k = ∑ j = 1 m b j k {\displaystyle...

Helsinki, Finland Land and Property Services, an agency of the Northern Ireland Executive Lander, Parkin, and Selfridge conjecture, an unproven mathematical...

than 2 {\displaystyle 2} is the sum of two prime numbers. Lander, Parkin, and Selfridge conjecture: if the sum of m {\displaystyle m} k {\displaystyle k}...

Jacobi and Madden method. Beal's conjecture Prouhet–Tarry–Escott problem Taxicab number Pythagorean quadruple Lander, Parkin, and Selfridge conjecture Sums...

known. Euler's sum of powers conjecture Beal's conjecture Jacobi–Madden equation Lander, Parkin, and Selfridge conjecture Taxicab number Pythagorean quadruple...

powers is a Sidon set is a special case of the later conjecture of Lander, Parkin and Selfridge. The existence of Sidon sequences that form an asymptotic...