Well known p^{4}+q^{4}=r^{4}
Source: Federation of Bosnia, 2. Grades 2008.
April 23, 2008
inequalitiesabstract algebranumber theorygreatest common divisorprime numbers
Problem Statement
Prove that equation p^{4}\plus{}q^{4}\equal{}r^{4} does not have solution in set of prime numbers.