Difference between revisions of "2024 AIME I Problems/Problem 13"
Math is fun (talk | contribs) (Blanked the page) (Tag: Blanking) |
(import) |
||
Line 1: | Line 1: | ||
+ | ==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 19:26, 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.