Super Primes

Superprimes are prime numbers that occupy prime numbered positions in the sequence of prime numbers.

Consider the sequence of the first 7 prime numbers: 2, 3, 5, 7, 11, 13, 17. The numbers in bold are superprimes, because they occupy positions 2, 3, 5, and 7 in the sequence.

3 is the first superprime. What are the last 3 digits of the 142nd superprime?

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