Final answer:
For information on the sieve of Eratosthenes, Jorgen should visit the 500 section of the library, which pertains to Science and Mathematics, as this algorithm for determining prime numbers fits within mathematical studies.
Step-by-step explanation:
To find out more about the current applications of the sieve of Eratosthenes, Jorgen should go to section 500 - Science and Mathematics of the library. The sieve is an algorithm used to determine prime numbers, which squarely falls under mathematics, hence the 500 section of the Dewey Decimal System.
The Dewey Decimal System categorizes non-fiction books into specific sections, making it easier to find topics of interest. In this case, for a mathematical concept such as the sieve of Eratosthenes, developed by the Hellenistic mathematician and librarian Eratosthenes, the 500 section is the appropriate choice, as it encompasses books related to science and mathematics.