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Results tagged with divisors-multiples
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user 166404
For questions on divisors and multiples, mainly but not exclusively of integers, and related and derived notions such as sums of divisors, perfect numbers and so on.
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Finding all proper divisors of $a_3z^3 +a_2z^2 +a_1z+1$ of the form $xz+1$
Let $n=a_3z^3+a_2z^2+a_1z+1$ where $a_1<z, \ a_2<z, \ 1 \le a_3<z, z>1$ are non negative integers. To obtain proper divisors of $n$ of the form $xz+1$, one may perform trial divisions $xz+1 \ | \ n$, …
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Finding all proper divisors of $a_3z^3 +a_2z^2 +a_1z+1$ of the form $xz+1$
An extension to the case when $n<z^5$ with some restrictions on $x$ and $y$:
Let $n=a_4z^4+a_3z^3+a_2z^2+a_1z+1$, $a_i < z $, $a_4>0, z>1$. We are looking for positive integes $x$ and $y$ such that $( …
- 319