MathDB

3

Part of 1996 Greece National Olympiad

Problems(1)

fourth power of an integer

Source: Greece 1996

5/14/2009
Prove that among 8181 natural numbers whose prime divisors are in the set {2,3,5}\{2, 3, 5\} there exist four numbers whose product is the fourth power of an integer.
pigeonhole principlenumber theory unsolvednumber theory