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irreducible? (Posted on 2013-03-29) Difficulty: 2 of 5
Prove that the fraction (21n+4)/(14n+3) is irreducible for every natural number n.

Source: Russian IMO

No Solution Yet Submitted by Ady TZIDON    
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hmmmm | Comment 2 of 6 |

(3(7n+4/3))/(2(7n+3/2)) = 3/2-1/(2(14n+3)) = 3/2-1/(28n+6)

Doesn't look likely, does it? Are the Russians going soft these days?

 

Edited on March 29, 2013, 10:41 am
  Posted by broll on 2013-03-29 10:32:05

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