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arXiv · 0908.2166

On prime chains

Douglas S. Stones
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Abstract

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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Douglas S. Stones. 2009-08-20. On prime chains. https://arxiv.org/abs/0908.2166

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