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and 7. Notice that these are the powers used to code and decode the message. This procedure caries through with all numbers, no matter how big they are. This is precisely why the coding works. Prime Numbers In Code Breaking Now, splitting 33 into its prime factors isn’t really that difficult. However, imagine you were given: 34457638482334756487658734623864765476789475684365847568 36823764864352364238428734682736387642836482364357364329 84729037464364863483648774554768757645365078655445376545 43584385734587395790475934723984798574356765932740293874 9479487683746293479238794563475623846902374902347… Prime Numbers In Code Breaking Splitting that number, with hundreds of digits, into two prime factors would take even the fastest puter in the world more time to crack it than the Universe has existed. Unless by a fluke the prime factors are found, it simply takes far too much time to decode the messages. Prime Numbers In Code Breaking The numbers used as coding and decoding powers depend entirely on the technology available at the time and the amount of time it would take a puter to factor a number. Since the messages tend to be a lot longer than “E” or “HELLO” the process bees longer and more plicated, which unfortunately the finite nature of technology can sometimes struggle to cope with. Prime Numbers In Code Breaking However, since noones knows of a way of quickly factorising a number into prime factors the process is quite safe for now!