MathDB

4

Part of 2003 Poland - Second Round

Problems(1)

Sum of two squares, equation

Source: 54 Polish MO 2003 Second Round - Second Day Problem 4

4/21/2018
Prove that for any prime number p>3p > 3 exist integers x,y,kx, y, k that meet conditions: 0<2k<p0 < 2k < p and kp+3=x2+y2kp + 3 = x^2 + y^2.
number theorycombinatoricsCombinatorial Number TheoryPolandpigeonhole principleprime numbers