MathDB
Vietnam NMO 2004_6

Source:

October 26, 2008
calculusintegrationquadraticsmodular arithmeticnumber theory unsolvednumber theory

Problem Statement

Let S(n) S(n) be the sum of decimal digits of a natural number n n. Find the least value of S(m) S(m) if m m is an integral multiple of 2003 2003.