1 What is a Galois field ?
نویسنده
چکیده
these are the positive integers that each have only two integer divisors (namely 1 and the number itself). By convention we do not take the number 1 to be prime. An immediate natural question, to which this notion leads, is already rather difficult: is the set of all the primes finite? In other words, can the above sequence of primes be continued indefinitely? The answer to this question was discovered in antiquity: the sequence of prime numbers is infinite, i.e. there is no maximal prime number. To prove it, assume the opposite, i.e. that there is a maximal prime p, and consider the number
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