2749913, according to Wolfram Alpha, with the input: 199990th Prime number
Note that this can be ESTIMATED with the prime distribution theorem. For instance, the number of primes up to a billion is APPROXIMATELY 1,000,000,000 / ln 1,000,000,000 = 48254942. (The logarithmic integral provides a better approximation, but it is more tricky to calculate that one.)
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