According to Vicente, mathematics is a human product and its characteristics are:
- (The rules of) Logic,
- (Modelling of) Reality,
- Beauty (transversality, relations between apparently distant fields, generalization and abstraction),
- Social activity,
During his talk, Vicente presented a problem from the 1989 International Maths Olympiad, in which he took part.
The problem was:
Prove that for each positive integer n there exist n consecutive positive integers none of which is a prime or a prime power.
This is a neat problem that perhaps some of you might like to try and solve.