Difference between revisions of "2024 AIME I Problems/Problem 13"
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| + | ==Problem== | ||
| + | Let <math>p</math> be the least prime number for which there exists a positive integer <math>n</math> such that <math>n^{4}+1</math> is divisible by <math>p^{2}</math>. Find the least positive integer <math>m</math> such that <math>m^{4}+1</math> is divisible by <math>p^{2}</math>. | ||
| + | ==Solution== | ||
| + | |||
| + | |||
| + | ==See also== | ||
| + | {{AIME box|year=2024|n=I|num-b=12|num-a=14}} | ||
| + | |||
| + | {{MAA Notice}} | ||
Revision as of 18:26, 2 February 2024
Problem
Let 
be the least prime number for which there exists a positive integer 
such that 
is divisible by 
. Find the least positive integer 
such that 
is divisible by .
Solution
See also
| 2024 AIME I (Problems • Answer Key • Resources) | ||
| Preceded by Problem 12 |
Followed by Problem 14 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
