MathDB
Too easy for advanced

Source: flanders '90

August 9, 2004
number theory proposednumber theory

Problem Statement

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.
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