Difference between revisions of "2024 AMC 10A Problems/Problem 3"
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| + | == Problem == | ||
| + | What is the sum of the digits of the smallest prime that can be written as a sum of <math>5</math> distinct primes? | ||
| + | |||
| + | <math>\textbf{(A) }5\qquad\textbf{(B) }7\qquad\textbf{(C) }9\qquad\textbf{(D) }10\qquad\textbf{(E) }13</math> | ||
| + | |||
| + | == Solution == | ||
| + | |||
| + | Let | ||
| + | |||
| + | ==See also== | ||
| + | {{AMC10 box|year=2024|ab=A|before=2|num-a=4}} | ||
| + | {{MAA Notice}} | ||
Revision as of 15:23, 8 November 2024
Problem
What is the sum of the digits of the smallest prime that can be written as a sum of 
distinct primes?
Solution
Let
See also
| 2024 AMC 10A (Problems • Answer Key • Resources) | ||
| Preceded by 2 |
Followed by Problem 4 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AMC 10 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
