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Autor:
Samer Seraj
Publikováno v:
Mathematics Magazine. :1-7
Notice that the square of $9376$ is $87909376$ which has as its rightmost four digits $9376$. To generalize this remarkable fact, we show that, for each integer $n\ge 2$, there exists at least one and at most two positive integers $x$ with exactly $n
Autor:
Samer Seraj
Publikováno v:
Notes on Number Theory and Discrete Mathematics. 28:730-743
Suppose every integer is taken to the power of a fixed integer exponent k ≥ 2 and the remainders of these powers upon division by a fixed integer n ≥ 2 are found. It is natural to ask how many distinct remainders are produced. By building on the