2023 AMC 8

Complete problem set with solutions and individual problem pages

Problem 4 Easy

The numbers from to are arranged in a spiral pattern on a square grid, beginning at the center. The first few numbers have been entered into the grid below. Consider the four numbers that will appear in the shaded squares, on the same diagonal as the number How many of these four numbers are prime?

Answer:D

Solution 1

We fill out the grid, as shown below:

From the four numbers that appear in the shaded squares, of them are prime: and

Solution 2

Note that given time constraint, it's better to only count from perfect squares (in pink), as shown below:

From the four numbers that appear in the shaded squares, of them are prime: and