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This is the Prime Pages'
interface to our BibTeX database. Rather than being an exhaustive database,
it just lists the references we cite on these pages. Please let me know of any errors you notice.References: [ Home | Author index | Key index | Search ]
- Loh89
- G. Löh, "Long chains of nearly doubled primes," Math. Comp., 53 (1989) 751-759. MR 90e:11015
Abstract:
A chain of nearly doubled primes is an ordered set {a1, a2, . . . , p_λ } of prime numbers, interlinked by ak = 2 a_(k-1) ± 1. A search for long chains of this kind has been performed in the range a1 < 250. Chains of length up to 13 have been found. Shorter chains have been counted in some restricted ranges. Some of these counts are compared with the frequencies predicted by a quantitative version of the prime k-tuple conjecture.
[Chains of primes for which each is either twice the proceeding one plus one, or each is either twice the proceeding one minus one. See also [Guy94, section A7].]
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