【英语时差8,16】互联网密码安全与质数

（单词翻译）

Ever wonder how websites like Amazon.com keep your personal information, like credit card or check numbers, safe from the internet bad guys?   Well, here's the scoop¹. At the Amazon website you enter in your private info, press "send", and your internet browser² quickly encodes your data and sends it off to Amazon. To make sure no one but Amazon can view your info each code has a lock that can only be opened with the correct key, which Amazon has. This is where prime numbers come into play. Prime numbers are those divisible only by themselves and one, such as the numbers two, three, five, seven, eleven etc. Of course these are very small prime numbers, but there are infinitely³ many of them and they can get big; the biggest found so far is thirteen million digits⁴ long! The lock on the code protecting your private info is a very big number which is the unique product of two prime numbers, and the key to this lock is exactly these two primes. As a small example take the number fifteen. If this were our "lock" number then the two primes three and five would be our "key"; since both are prime and three times five is fifteen. Unlike the small example however for a larger "lock" number it is nearly impossible to find the two "key" primes if you don't already know them. The best computers in the world might take years to find the "key" primes of a "lock" number only three-hundred digits long. Thankfully websites like Amazon typically use "lock" numbers at least this big, thus making it nearly impossible for a bad guy to sneak⁵ a peak at your private info online.