Titlebook: Elementary Number Theory; Gareth A. Jones,J. Mary Jones Textbook 1998 Springer-Verlag London 1998 Mersenne prime.Prime.Prime number.Rieman

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,Euler’s Function,erse under multiplication. We shall see how to evaluate this function, study its basic properties, and see how it can be applied to various problems such as the calculation of large powers and the encoding of secret messages.

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Quadratic Residues,n find them. One of the main applications of this is to the solution of quadratic congruences, but we will also deduce a proof that there are infinitely many primes . = 1 mod (4), and we will give a useful primality test for Fermat numbers.

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