What is the smallest number that cannot be scored with 1 dart on a standard dart board?
23. Since you can score any of the numbers 1 through 20, plus
you can score in the double (outer) ring, or the triple (inner)
ring of any of those numbers. 1 through 20 is obvious, 21 can be
scored with a triple 7, and 22 can be sored with a double 11.
23 can't be divided by 2 or 3, and the only other scores
possible with a single dart are 25 and 50 for the outer bull and
inner bull, respectively. For further details, see:
http://en.wikipedia.org/wiki/Darts#Scoring