MathDB

2

Part of 2004 Switzerland Team Selection Test

Problems(1)

max n such 4^{995} +4^{1500} +4^n is perfect square

Source: Switzerland - Swiss TST 2004 p2

2/18/2020
Find the largest natural number nn for which 4995+41500+4n4^{995} +4^{1500} +4^n is a square.
Perfect Squarenumber theory