L. Jones

activity

20042023

most citedA new integral basis for the centre of the Hecke algebra of type A

3 citations · 11 across the 15 of their papers we have counts for

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Showing 2011 · math.NTShow all

2 papers · 2 filters

math.NT2011

Using Lucas Sequences to Generalize a Theorem of Sierpiński

Lenny Jones

In 1960, Sierpiński proved that there exist infinitely many odd positive integers $k$ such that $k \cdot 2^{n} + 1$ is composite for all positive integers $n$ . In this paper, we prove s…

math.NT2011

Polynomial Cunningham Chains

Lenny Jones

Let $ε \in {- 1, 1}$ . A sequence of prime numbers $p_{1}, p_{2}, p_{3}, ...$ , such that $p_{i} = 2 p_{i - 1} + ε$ for all $i$ , is called a {\it Cunningham chain} of the first or second kind, depen…