Prime — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Prime — a number theory concept — each with a professionally curated solution, many with a video solution too, from LIVE by Po-Shen Loh. Browse all concepts or the full past-contest archive.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
Filter by difficulty
These problems’ difficulty ratings come from real solve attempts on our platform. Tap a band or a contest to filter the list below, and tap a selected band again to include all difficulties. See the full difficulty guide.
AMC 8
1987 AMC 8 Problem 20 • 1989 AMC 8 Problem 16 • 1993 AMC 8 Problem 3 • 2003 AMC 8 Problem 2 • 2006 AMC 8 Problem 25 • 2009 AMC 8 Problem 12 • 2011 AMC 8 Problem 21 • 2011 AMC 8 Problem 24 • 2012 AMC 8 Problem 18 • 2014 AMC 8 Problem 4 • 2014 AMC 8 Problem 23 • 2023 AMC 8 Problem 4 • 2025 AMC 8 Problem 23
AMC 10
2000 AMC 10 Problem 11 • 2002 AMC 10A Problem 14 • 2002 AMC 10A Problem 15 • 2002 AMC 10B Problem 6 • 2002 AMC 10B Problem 15 • 2003 AMC 10A Problem 14 • 2005 AMC 10A Problem 24 • 2005 AMC 10B Problem 12 • 2005 AMC 10B Problem 22 • 2013 AMC 10B Problem 24 • 2015 AMC 10B Problem 11 • 2018 AMC 10B Problem 5 • 2018 AMC 10B Problem 11 • 2019 AMC 10A Problem 9 • 2019 AMC 10A Problem 25 • 2019 AMC 10B Problem 2 • 2020 AMC 10B Problem 4 • 2021 AMC 10A Fall Problem 5 • 2021 AMC 10B Fall Problem 10 • 2022 AMC 10B Problem 6 • 2022 AMC 10B Problem 13 • 2024 AMC 10A Problem 3
AMC 12
1960 AMC 12 Problem 33 • 1969 AMC 12 Problem 23 • 1973 AMC 12 Problem 3 • 1973 AMC 12 Problem 18 • 1974 AMC 12 Problem 8 • 1975 AMC 12 Problem 22 • 1983 AMC 12 Problem 3 • 1999 AMC 12 Problem 4 • 2000 AMC 12 Problem 6 • 2002 AMC 12A Problem 12 • 2002 AMC 12A Problem 17 • 2002 AMC 12B Problem 3 • 2002 AMC 12B Problem 11 • 2005 AMC 12A Problem 18 • 2009 AMC 12B Problem 19 • 2010 AMC 12B Problem 25 • 2019 AMC 12A Problem 24 • 2019 AMC 12B Problem 2 • 2020 AMC 12B Problem 4 • 2021 AMC 12A Fall Problem 4 • 2022 AMC 12B Problem 3