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Publicizing conjectures on MO
In my opinion, MathOverflow should not be only interested in reference-requests or graduate-level questions. There are some very talented mathematicians (including some Fields Medalists) here. Novel challenging problems (different from well-known open problems) should be allowed.
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Publicizing conjectures on MO
@user21820 I don't think it is easy to pose a nice and novel conjecture. Your "conjecture" that each $n>5$ with $n\equiv 5\pmod6$ is the sum of a prime and a positive square is not new. Hardy and Littlewood had a conjecture on $p+x^2$.
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