Schinzel's Hypothesis H - Prospects and Applications

Prospects and Applications

The hypothesis is probably not accessible with current methods in analytic number theory, but is now quite often used to prove conditional results, for example in diophantine geometry. The conjectural result being so strong in nature, it is possible that it could be shown to be too much to expect.

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    A single gentle rain makes the grass many shades greener. So our prospects brighten on the influx of better thoughts.
    Henry David Thoreau (1817–1862)