MathDB

2

Part of 1998 India Regional Mathematical Olympiad

Problems(1)

Yet another divisibility

Source: Indian RMO 1998 Problem 2

10/26/2005
Let nn be a positive integer and p1,p2,p3,…pnp_1, p_2, p_3, \ldots p_n be nn prime numbers all larger than 55 such that 66 divides p12+p22+p32+⋯pn2p_1 ^2 + p_2 ^2 + p_3 ^2 + \cdots p_n ^2. prove that 66 divides nn.
modular arithmeticnumber theoryprime numbers