Repeatedly Appending Any Digit to Generate Composite Numbers
Venue
The American Mathematical Monthly(2012) (to appear)
Publication Year
2012
Authors
John Grantham, Witold Jarnicki, Jon Rickert, Stan Wagon
BibTeX
Abstract
We investigate the problem of nding integers k such that ap- pending any number of
copies of the base-ten digit d to k yields a composite number. In particular, we
prove that there exist innitely many integers co- prime to all digits such that
repeatedly appending any digit yields a composite number.