Certain random sets of integers almost surely obey the full Bateman-Horn asymptotics for polynomial tuples.
Kawada,A Montgomery-Hooley type theorem for primek-tuplets, Acta Mathematica Hungarica 66(1995), no
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Sets of integers satisfying Bateman-Horn statistics
Certain random sets of integers almost surely obey the full Bateman-Horn asymptotics for polynomial tuples.