Perfect squares in weird sequence
Source: Kvant Magazine No. 1 2023 M2731
March 7, 2023
Kvantnumber theoryPerfect Squares
Problem Statement
There are 2023 natural written in a row. The first number is 12, and each number starting from the third is equal to the product of the previous two numbers, or to the previous number increased by 4. What is the largest number of perfect squares that can be among the 2023 numbers?Based on the British Mathematical Olympiad