Alice and Bob play a game. Starting with Alice, they alternate in selecting digits for a 6-digit decimal number UVWXYZ that they construct from left to right. Alice chooses U, then Bob chooses V, then Alice chooses W, and so on. No digit can be repeated. Alice wins if UVWXYZ is not a prime. Can Alice always win?

(In reply to No Subject by xdog)

What if Bob chooses V=3, X=2?

Regardless of whether Alice chooses 0, 4, 5, 6, 8 or 9, Bob can produce a prime:

731201
731209
731243
731249
731251
731257
731261
731267
731287
731299

Posted by Charlie on 2013-05-28 10:47:01