MathDB

1

Part of 1995 Greece National Olympiad

Problems(1)

-5^4 + 5^5 + 5^n and 2^4 + 2^7 + 2^n perfect squares

Source: Greek national M.O. 1995, Final Round, problem 1

11/20/2011
Find all positive integers nn such that āˆ’54+55+5n-5^4 + 5^5 + 5^n is a perfect square. Do the same for 24+27+2n.2^4 + 2^7 + 2^n.
number theory unsolvednumber theory