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Zeisel number
A '''Zeisel number''', named after [[Helmut Zeisel]], is a [[square-free integer]] ''k'' with at least three [[prime factor]]s in [[arithmetic progression]]; the factorswhich fall into the pattern

:<math>p_x = ap_{x - 1} + b</math>

where ''a'' and ''b'' are some [[integer]] constants and ''x'' is the index number of each prime factor in the factorization, sorted from lowest to highest. For the purpose of determining Zeisel numbers, <math>p_0 = 1</math>. The first few Zeisel numbers are

(contracted; show full)*{{MathWorld|urlname=ZeiselNumber|title=Zeisel Number}}
*[http://www.mathpages.com/home/kmath015.htm MathPages article]

[[Category:Integer sequences]]

[[fr:Nombre de Zeisel]]
[[fi:Zeiselin luku]]
[[it:Numero di Zeisel]]