Recent content by ershi

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    Patterns of remainders when dividing x^n/n

    I wondered if it had to do with another thread I posted, about a factorial value being obtained through a process of differences with x^n series. This factorial value might have some significance for this case too, because in effect we are looking at a sort of constant incrementing value in...
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    Explaining Ultimate Factorial Value in x^n Integer Series

    In the situation where differences between consecutive squares, (or consecutive cubes, consecutive x^4, etc.) are calculated, then the differences between those differences are calculated, and then the differences of those differences, and so on until you reach a constant number at a deep...
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    Divisibility rules using sum of digits

    I saw someone discussing divisibility rules in another thread and would thought I would make a note that the divisibility rule of 9 of summing the digits to see if you end up with 9 is really a trick of the counting base you are using (base 10). In general, this divisibility rule applies to...
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    Patterns of remainders when dividing x^n/n

    I observed some patterns in some series involving taking the expression x^n and dividing it by n!, and looking at the remainder for each x, starting with x=0 or x=1 I was wondering if there is some kind of explanation of the patterns that seem to be present For example, looking at the...
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