MathDB

2

Part of 2009 India Regional Mathematical Olympiad

Problems(1)

a^2-3a-19 not divisible by 289

Source: (Indian) RMO 2009 Problem 2

11/29/2009
Show that there is no integer a a such that a^2 \minus{} 3a \minus{} 19 is divisible by 289 289.
modular arithmeticnumber theory unsolvednumber theory