On prime chains

Details On prime chains On prime chains

2009-08-15

arxiv.org/abs/0908.2166v2

Mathematics

Number Theory

4 pages. 2nd version extends results, shortens proofs and corrects errors

Scientific paper

Let b be an odd integer such that b=+/-1 (mod 8) and let q be a prime with
primitive root 2 such that q does not divide b. We show that if (p(k)) is a
sequence of odd primes, with 0<=k<=q-2 such that p(k)=2p(k-1)+b for all
1<=k<=q-2, then either (a) q divides p(0)+b, (b) p_0=q or (c) p_1=q.

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