There are 1499 odd numbers between 2000 and 4999
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The set of Real numbers is infinitely dense. As a result, there are infinitely many Real numbers between any two numbers. If any number X was said to be the number before 2000, then there would be infinitely many numbers between X and 2000. Any one of these numbers has a better claim to be before 2000 than X and so X cannot be the number before 2000.
Infinitely many. there are infinitely many numbers between any two numbers.
127 prime numbers in that range. See related link for prime numbers up to 10000. Plus there is a link to download Zip files of prime numbers up to 1 million.
Between the two numbers there are 49.
Infinitely many. Between any two different real numbers (not necessarily rational) there are infinitely many rational numbers, and infinitely many irrational numbers.