Number theory · Diophantine equations · Perfect squares · Divisibility
Problem 4, 2023
Determine all natural numbers \(n\) for which the number
\[ n^2 + 7n + 2 \]
is equal to a product of several (at least two) consecutive natural numbers.
Sign in to check answers, open hints, read the full solution, and track your progress. Statements are always free.
Serbian Municipal Competition 2023, high school grade I, category A, problem 4. Organized by the Mathematical Society of Serbia (DMS). Source