Joseph Thomas Cunningham. (1859-1935)

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On Cunningham Chains

Let q be a prime with primitive root 2. We show that (a) if (pi) q−2 i=0 is a sequence of primes such that pi = 2pi−1 + 1 for all 1 ≤ i ≤ q − 2, then q divides p0 + 1 or p0 ∈ {2, 3, 5} and (b) if (pi) q−2 i=0 is a sequence of primes such that pi = 2pi−1 − 1 for all 1 ≤ i ≤ q − 2, then q divides p0 − 1 or p0 ∈ {2, 3}.

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ژورنال

عنوان ژورنال: ICES Journal of Marine Science

سال: 1935

ISSN: 1054-3139,1095-9289

DOI: 10.1093/icesjms/10.3.245