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Determine how many primes there are in the ranges: 1-1000, 1001-2000, and so on up...

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Determine how many primes there are in the ranges: 1-1000, 1001-2000, and so on up to 9001-10000. Can you see why the Greeks might have wondered if they would run out? (Hint: there are a number of websites that have lists of prime numbers. Even easier: use the Mathematica command Prime Pi[k] which gives the number of primes less than or equal to k.)

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