MathDB

1

Part of 2017 Danube Mathematical Olympiad

Problems(2)

Smallest Sum Of Digits

Source: Mathematical Danube Competition 2017, Juniors P1

4/21/2022
What is the smallest value that the sum of the digits of the number 3n2+n+1,3n^2+n+1, n∈Nn\in\mathbb{N} can take?
number theorysum of digitsromania
Problem 1-Polynomial

Source: Danube Mathematical Competition 2017, Romania

10/28/2017
Find all polynomials P(x)P(x) with integer coefficients such that a2+b2−c2a^2+b^2-c^2 divides P(a)+P(b)−P(c)P(a)+P(b)-P(c), for all integers a,b,ca,b,c.
algebrapolynomial