Mathematics – Number Theory
Scientific paper
2010-09-14
Mathematics
Number Theory
18 pages. Added a few remarks, changed the numbering of sections, slightly improved results, and made a few corrections
Scientific paper
We fix a non-zero integer $a$ and consider arithmetic progressions $a \bmod
q$, with $q$ varying over a given range. We show that for certain specific
values of $a$, the arithmetic progressions $a \bmod q$ contain, on average,
significantly fewer primes than expected.
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