Composite numbers and prime regressive isols
Joseph Barback · Pacific Journal of Mathematics · 1976
Let w(jc),be the principal function for the set of all composite nonnegative integers and let D w denote its canonical extension to the isols.M. Hassett proved in Comp.M. 26 (1973), as an application of a very general theorem, that if A is any T-regressive isol then D W (Λ) is a regressive isol that is prime.The present paper contains a number theoretic proof of the following property: if Y is any infinite multiple-free regressive isol then D W (Y) is a regressive isol that is prime.