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Results tagged with arithmetic-progression
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user 2480
An arithmetic progression is a (possibly infinite) sequence of numbers such that the difference between consecutive terms is always the same value.
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Product of arithmetic progressions
First, it's easy to see that real solutions can be rescaled to be rational and therefore also integer.
For $n=7$ there are no solutions.
For $n=6$ there are essentially 4 primitive integral solution …
- 5,103
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Is a stronger version of the Erdős-Turan conjecture on arithmetic progessions reasonable? (A...
Define the size, possibly $\infty$, of a set $S\subseteq \mathbb{N}$ as $|S|=\sum\limits_{n\in S} \frac{1}{n}$. Then the Erdős-Turan conjecture states that if $|S|=\infty$, S must contain arbitrarily …
- 5,103