olymmath

Putnam 1959 B6

  • Session B
  1. Prove that, if xx and yy are positive irrationals such that 1/x+1/y=11 / x+1 / y=1, then the sequences [x],[2x],…,[nx],…[x],[2 x], \ldots,[n x], \ldots and [y],[2y],…,[ny],…[y],[2 y], \ldots,[n y], \ldots together include every positive integer exactly once. (The notation [x][x] means the largest integer not exceeding xx.)

Dataset text PutnamGAP. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Similar problems

These problems have the most words in common with this statement.

Locator putnam/1959/b6 · Tag JTK36Y1FFY · Edit this page on GitHub · Keys: j next, k previous