Difference between revisions of "1973 USAMO Problems/Problem 5"

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==Problem==
 
==Problem==
Prove that the cube roots of three distinct primes cannot be terms in an arithmetic progression.  
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Show that the cube roots of three distinct prime numbers cannot be three terms (not necessarily consecutive) of an arithmetic progression.
  
 
==Solution==
 
==Solution==

Revision as of 15:26, 30 December 2008

Problem

Show that the cube roots of three distinct prime numbers cannot be three terms (not necessarily consecutive) of an arithmetic progression.

Solution

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1973 USAMO (ProblemsResources)
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