Volume 3
, Issue 1


Two of the most important branches of modern mathematics are the fields of Algebra and Topology.

From the earliest times of its development, geometry has offered a number of difficult and quite puzzling problems which remained unanswered until comparatively recent times.

J51 Prove that a number which consists of $3^n$ equal digits is divisible by $3^n$.

J31 Prove that, given five consecutive integers, it is always possible to find one which is relatively prime to all the rest.