Abstract :
Let c set membership, variant image+ and imagec(x) colon, equals {p ≤ x [pc] prime}. It is known that #imagec(x) not, vert, similar x/c log2x (*) for all c < image. Here it is shown that - assuming the Riemann hypothesis - (*) continues to hold for all c < 1. Unconditionally, in the sense of Lebesgue measure, (*) holds for almost all c < 1.
