2023 AMC 8 Problem 4

Attempt Problem 4 of the 2023 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2023 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

4.

The numbers from 11 to 4949 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 7.7. How many of these four numbers are prime?

00

11

22

33

44

Answer: D
Concepts:primepattern recognition
Difficulty rating: 960
Video solution:
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Written solution:

We can fill in the other numbers to get the complete grid.

From this, we can see that the only prime numbers in the shaded boxes are 19,23,19, 23, and 47.47.

Thus, D is the correct answer.

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