1974 AHSME Problems/Problem 8: Difference between revisions
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{{AHSME box|year=1974|num-b=7|num-a=9}} | {{AHSME box|year=1974|num-b=7|num-a=9}} | ||
[[Category:Introductory Number Theory Problems]] | |||
Revision as of 09:18, 30 May 2012
Problem
What is the smallest prime number dividing the sum 
?
Solution
Since we want to find the smallest prime dividing the sum, we start with the smallest prime and move up, so first we try 
. Notice that 
and 
are both odd, so their sum must be even. This means that must divide , and so since is the smallest prime, our answer must be 
.
See Also
| 1974 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 7 |
Followed by Problem 9 | |
| 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 • 26 • 27 • 28 • 29 • 30 | ||
| All AHSME Problems and Solutions | ||
