Abstract: | Let f (x
1, . . . , x
s
) be a regular indefinite integral quadratic form, and t an integer. Denote by V the affine quadric {x : f (x) = t}, and by
V(\mathbb P){V(\mathbb {P})} the set of x ? V{{\bf x}\in V} whose coordinates are simultaneously prime. It is proved that, under suitable conditions,
V(\mathbbP){V(\mathbb{P})} is Zariski dense in V as long as s ≥ 10. |