After login you will be able to create your own lists of problems.

Problems

Sort

Age

Difficulty

Found: 5

Problem #PRU-30649

Problems Algebraic equations and systems of equations Algebra Diophantine equations

Determine all integer solutions of the equation \(3x - 12y = 7\).

Problem #PRU-31288

Problems Algebraic equations and systems of equations Algebra Diophantine equations

Prove there are no integer solutions for the equation \(4^k - 4^l = 10^n\).

Problem #WSP-000465

Problems Algebraic equations and systems of equations Algebra Diophantine equations

Let \(s\) and \(t\) be two positive integers. Can we have \(s^2=t^2+2\)?

Problem #WSP-000494

Problems Algebraic equations and systems of equations Algebra Numeral systems Decimal number system Diophantine equations Number Theory

Are there any two-digit numbers which are the product of their digits?

Problem #WSP-000499

Problems Algebraic equations and systems of equations Algebra Diophantine equations

Find, with proof, all integer solutions of \(a^3+b^3=9\).