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Results tagged with integer-sequences
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user 39521
For questions about sequences of integers. References are often made to the online resource oeis.org.
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Can we find lattice polyhedra with faces of area 1,2,3,...?
I found a 32-face example with face areas $\{ 1, 2, \dots, 32 \}$:
It took a reasonable amount of experimentation to stop it from self-intersecting.
- 12.4k
9
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Consecutive numbers with mutually distinct exponents in their canonical prime factorization
We prove that there are only finitely many such intervals.
Suppose $[36n + 7, 36n + 29]$ is one such interval.
Now, $36n + 10$ and $36n + 15$ cannot both be divisible by $5$ (since one must occur …
- 12.4k