Michael writes: << If the primes congruent to a mod m have a large desert between N and (1+e)N, then the density of such primes up to (1+e)N is 1/(1+e) times what it is up to N, and so those two densities cannot both be arbitrarily close to the asymptotic value 1/phi(m)

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Aha -- what I wanted to be true would be, had I wanted the right thing to be true. -dan