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If it turns out that a problem is equivalent to a known open problem, then the open-problem tag is added. After that, the question essentially becomes, "What is known about this problem? What are some possible ways to approach this problem? What are some ways that people have tried to attack it before, and with what results?"
5
votes
Important open problems that have already been reduced to a finite but infeasible amount of ...
Is there always a prime in the interval $(x^3,(x+1)^3]$ for every natural number $x\geq 2$?
Equivalently the interval may be changed to $[x^3,(x+1)^3]$. Assuming the Riemann hypothesis, this is prov …