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Omni-MATH / Let S be the set of positive integers. For any a and b in the set we have GCD(a,b)>1. For any a, b and c in the set we have GCD(a,b,c)=1. Is it possible that S has 2012 elements? […

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problem

Let SS be the set of positive integers. For any aa and bb in the set we have GCD(a,b)>1GCD(a, b)>1. For any aa, bb and cc in the set we have GCD(a,b,c)=1GCD(a, b, c)=1. Is it possible that SS has 20122012 elements? [i]
Plain-text mathematical notation (without MathML)
Let S be the set of positive integers. For any a and b in the set we have GCD(a,b)>1. For any a, b and c in the set we have GCD(a,b,c)=1. Is it possible that S has 2012 elements?  
		
[i]
Original LaTeX notation
Let $S$ be the set of positive integers. For any $a$ and $b$ in the set we have $GCD(a, b)>1$. For any $a$, $b$ and $c$ in the set we have $GCD(a, b, c)=1$. Is it possible that $S$ has $2012$ elements?  
		
[i]

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Source and history

task_id
ca8e5fb9-d596-55c2-9988-daef29dfd09b
task_key
test--ca8e5fb9-d596-55c2-9988-daef29dfd09b
task_revision_id
1
config / split
/ test

Official source

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