MathDB

3

Part of 2004 Vietnam National Olympiad

Problems(1)

Vietnam NMO 2004_6

Source:

10/26/2008
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.
calculusintegrationquadraticsmodular arithmeticnumber theory unsolvednumber theory