##
**
Appending Digits to Generate an Infinite Sequence of Composite Numbers
**

###
Lenny Jones and Daniel White

Department of Mathematics

Shippensburg University

Shippensburg, PA 17257

USA

**Abstract:**

Let *D* be a list of single digits, and let *k* be a positive integer.
We construct an infinite sequence of positive integers by repeatedly
appending, in order, one at a time, the digits from the list *D* to the
integer *k*, in one of four ways: always on the left, always on the
right, alternating and starting on the left, or alternating and
starting on the right. In each of these four situations, we
investigate, for various lists *D*, how to find infinitely many
positive integers *k* such that every term of the sequence is
composite.

**
Full version: pdf,
dvi,
ps,
latex
**

Received January 1 2011;
revised version received January 24 2011; May 3 2011.
Published in *Journal of Integer Sequences*, May 4 2011.

Return to
**Journal of Integer Sequences home page**