Repeatedly Appending Any Digit to Generate Composite Numbers
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 in nitely many integers co-
prime to all digits such that repeatedly appending any digit yields a composite
number.
pending any number of copies of the base-ten digit d to k yields a composite
number. In particular, we prove that there exist in nitely many integers co-
prime to all digits such that repeatedly appending any digit yields a composite
number.
Research Areas
