MathDB

2

Part of 1990 Flanders Math Olympiad

Problems(1)

Too easy for advanced

Source: flanders '90

8/9/2004
Let aa and bb be two primes having at least two digits, such that a>ba > b. Show that 240∣(a4−b4)240|\left(a^4-b^4\right) and show that 240 is the greatest positive integer having this property.
number theory proposednumber theory