Predictability of prime numbers
Write well on ONE of the following topics:
In this optional assignment you are asked to research and write about prime number properties, their distribution and any other interesting facts about primes.
Questions you can address (these are suggestions):
1- We have seen that primes thin up when numbers become larger and larger. How are prime distributed?
2- We have seen that prime numbers are at the heart of modem cryptography. Can you find other applications in mathematics or other domains where primes play some role?
3- We have also seen that the ability to generate very large prime numbers is important. How can we test if a large number is a prime? investigate primality tests (e.g., probabilistic or others).
4- What is the ongoing research about primes?
5- What is the largest prime discovered so far and how was it discovered?
Any point you eam in this assignment will add up to your homework grade, however, you will need to eam them! only compelling pieces will be rewarded. There is no limitations in the number of pages.
Make sure you add your references. Please submit only one PDF document.

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