A number theory problem by Piyush Kumar

Number Theory Level pending

Find the number of positive integers less than or equal to 3600 that co-prime to 3600.


The answer is 960.

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1 solution

Nikola Djuric
Nov 30, 2014

prime factors of 3600 are 2,3 and 5. Euler function gives us answer 3600 (1-1/2) (1-1/3)(1-1/5)=3600*4/15=960

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