Triangles within triangles

Georgina says, "Whoa, look! I can put together all these equilateral triangles to make a bigger equilateral triangle."

What is the largest \(N\) such that we cannot put together \(N\) equilateral triangles (of any size) to form a bigger equilateral triangle?

If you think the answer is infinite, please put the answer as 99999.

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