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"As I'm sure most of you are aware, prime numbers are the key to enciphering and deciphering data sent over the internet on a day-to-day basis. However, they are also the oldest puzzle of all. What patterns have you seen in the primes, and what is the most efficient factorization method you have found? Feel free to create new topics on specific algorithms."For further reading, I highly suggest Pam Belluck's New York Times Science article of 12/06/10. For 2,800 years Egyptians, Greeks, Coptics and Arabs did not rely upon an algorithm to encode rational numbers to concise unit fraction series. Ahmes in 1650 BCE encoded 30/53 by writing2/53(30/30) + 28/53(2/2) = 60/1590 + 56/106 = (53 + 5 + 2)/1590 + (53 + 2 + 1)/106 =1/2 + 1/30 + 1/53 + 1/106 + 1/318 + 1/795one of three rules used that generally encoded rational number n/p to concise unit fraction series.More later, if anyone wishes.Best Regards,Milo Gardner