Talk:Dirichlet's theorem on arithmetic progressions

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Chowla proved this for the case of three consecutive terms.

What exactly did Chowla prove? AxelBoldt 02:20 Oct 10, 2002 (UTC)

Chowla proved there are infinitely many three consecutive terms in every arithmetic progression. We should also correct this piece of sentence:

...where n is a... --XJamRastafire 12:28 Oct 11, 2002 (UTC)

I think the part

Note that the theorem does not say that there are infinitely many consecutive terms in the arithmetic progression
a, a+d, a+2d, a+3d, ..., which are prime.

Would be easier to read if it said "Note that the theorem does not say that there are infinitely many consecutive prime terms in the arithmetic progression..."--or perhaps better: "...infinitely many consecutive primes...".