2022 AIME II Problems/Problem 5: Difference between revisions
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==Problem== | |||
Twenty distinct points are marked on a circle and labeled <math>1</math> through <math>20</math> in clockwise order. A line segment is drawn between every pair of points whose labels differ by a prime number. Find the number of triangles formed whose vertices are among the original <math>20</math> points. | |||
==Solution== | |||
==See Also== | |||
{{AIME box|year=2022|n=II|num-b=4|num-a=6}} | |||
{{MAA Notice}} | |||
Revision as of 22:13, 17 February 2022
Problem
Twenty distinct points are marked on a circle and labeled 
through 
in clockwise order. A line segment is drawn between every pair of points whose labels differ by a prime number. Find the number of triangles formed whose vertices are among the original points.
Solution
See Also
| 2022 AIME II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 4 |
Followed by Problem 6 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
These problems are copyrighted © by the Mathematical Association of America. 
