Difference between revisions of "2024 AIME I Problems/Problem 13"
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Revision as of 20:44, 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
From there, we could get
By doing binomial expansion bash, the four smallest in this case are
, yielding
~Bluesoul
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.