Schinzel’s Hypothesis H
Let a set of irreducible polynomials with integer coefficients have the property that for any prime there exists some such that . Schinzel’s Hypothesis H that there are infinitely many values of for which and are all prime numbers.
The 1st condition is necessary since if is reducible then cannot be prime except in the finite number of cases where all but one of its factors are equal to 1 or -1. The second condition is necessary as otherwise there will always be at least 1 of the divisible by ; and thus not all of the are prime except in the finite number of cases where one of the is equal to .
|Title||Schinzel’s Hypothesis H|
|Date of creation||2013-03-22 15:11:43|
|Last modified on||2013-03-22 15:11:43|
|Last modified by||jtolliver (9126)|