Maximum value of n?

Algebra Level 5

There are n positive integers, \({ a }_{ 1 },{ a }_{ 2 },{ a }_{ 3 },...{ a }_{ n }\) such that

\(\frac { { a }_{ 1 } }{ 1 } <\frac { { a }_{ 2 } }{ 2 } <\frac { { a }_{ 3 } }{ 3 } <...<\frac { { a }_{ n } }{ n } \)

If \({ a }_{ n }=2015\), find the maximum value of n.

Extra: Prove that this is

a) possible

b) the maximum value

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