Difference between revisions of "1999 AIME Problems/Problem 1"

m
Line 3: Line 3:
  
 
== Solution ==
 
== Solution ==
{{solution}}
+
5,11,17,23, and 29 form an arithmetic sequence. Thus, the answer is 29.
 
== See also ==
 
== See also ==
 
* [[1999 AIME Problems/Problem 2 | Next problem]]
 
* [[1999 AIME Problems/Problem 2 | Next problem]]
 
* [[1999 AIME Problems]]
 
* [[1999 AIME Problems]]

Revision as of 08:24, 11 March 2007

Problem

Find the smallest prime that is the fifth term of an increasing arithmetic sequence, all four preceding terms also being prime.

Solution

5,11,17,23, and 29 form an arithmetic sequence. Thus, the answer is 29.

See also