MathDB

C1

Part of 2016 Balkan MO Shortlist

Problems(1)

number n is a d-digit palindrome in all number bases b_1,b_2,..., b_K

Source: Balkan BMO Shortlist 2016 C1

7/30/2019
Let positive integers KK and dd be given. Prove that there exists a positive integer nn and a sequence of KK positive integers b1,b2,...,bKb_1,b_2,..., b_K such that the number nn is a dd-digit palindrome in all number bases b1,b2,...,bKb_1,b_2,..., b_K.
palindromesnumber theorynumber base