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Results tagged with nt.number-theory
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user 106014
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
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answer
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Is every positive integer (eventually) a sum of $m$ relatively prime integers for every $m$?
Is this a theorem?
Given any integer $m$, there exists $N(m)$, such that for all $n>N(m)$, we have
$$n = a_1+a_2+\cdots+a_m$$
where $\gcd(a_i,a_j) = 1$ with $a_i>1$ for all $i,j>1$.
For inst …
