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For questions about sequences of integers. References are often made to the online resource oeis.org.

5 votes

Longest coinciding pair of integer sequences known

By searching OEIS for the list 1,2,4,8,16, I found the following examples of sequences that start out as 1, 2, 4, 8, 16, but do not equal the sequence of powers of 2. For $n \geq 1$, mark $n$ equa …
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39 votes
Accepted

Parity of the multiplicative order of 2 modulo p

This problem was asked by Sierpiński in 1958 and answered by Hasse in the 1960s. For each nonzero rational number $a$ (take $a \in \mathbf Z$ if you wish) and each prime $\ell$, let $S_{a,\ell}$ be th …
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