Geodesic
Appending digits to generate an infinite sequence of composite numbers
Journal of integer sequences, Tome 14 (2011) no. 5
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.
Classification : 11B99, 11A51, 11A07, 11A41, 11-04
Keywords: covering, composite number 
@article{JIS_2011__14_5_a4,
     author = {Jones,  Lenny and White,  Daniel},
     title = {Appending digits to generate an infinite sequence of composite numbers},
     journal = {Journal of integer sequences},
     year = {2011},
     volume = {14},
     number = {5},
     zbl = {1229.11017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2011__14_5_a4/}
}
TY  - JOUR
AU  - Jones,  Lenny
AU  - White,  Daniel
TI  - Appending digits to generate an infinite sequence of composite numbers
JO  - Journal of integer sequences
PY  - 2011
VL  - 14
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/JIS_2011__14_5_a4/
LA  - en
ID  - JIS_2011__14_5_a4
ER  - 
%0 Journal Article
%A Jones,  Lenny
%A White,  Daniel
%T Appending digits to generate an infinite sequence of composite numbers
%J Journal of integer sequences
%D 2011
%V 14
%N 5
%U http://geodesic.mathdoc.fr/item/JIS_2011__14_5_a4/
%G en
%F JIS_2011__14_5_a4
Jones,  Lenny; White,  Daniel. Appending digits to generate an infinite sequence of composite numbers. Journal of integer sequences, Tome 14 (2011) no. 5. http://geodesic.mathdoc.fr/item/JIS_2011__14_5_a4/