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UVWXYZ (Posted on 2013-05-27) Difficulty: 4 of 5
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?

No Solution Yet Submitted by Danish Ahmed Khan    
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Solution re(2): My solution (computer assisted) | Comment 7 of 12 |
(In reply to re: My solution (computer assisted) by Ady TZIDON)

The following revised list has Alice use 5 and 2 for U and W:

UVWX  --- Alice's winning choices for UVWXY ----
5021  50216  50219
5023  50231  50234  50236  50237  50238
5024  50241  50243  50246  50247
5026  50267
5027  50273  50274  50279
5028  50283  50287  50289
5029  50294  50298
5120  51203  51206  51207  51208
5123  51230  51234  51236  51237  51239
5124  51240  51243  51247  51248
5126  51263  51269
5127  51270  51273  51278
5128  51283  51286  51287
5129  51293  51294  51296
5320  53201  53204  53207  53208
5321  53210  53217
5324  53246  53247  53249
5326  53264  53267
5327  53271  53274  53276  53279
5328  53287  53289
5329  53296  53297
5420  54201  54203
5421  54210  54217
5423  54230  54231  54236  54238  54239
5426  54261  54263  54267
5427  54270  54273
5428  54280  54281  54286
5429  54290  54296  54297
5620  56203  56207  56208
5621  56213  56217
5623  56237  56238
5624  56248
5627  56274  56279
5628  56280
5629  56291
5720  57201  57203
5721  57214  57219
5723  57234  57236
5724  57240  57248
5726  57261  57264
5728  57289
5729  57291  57298
5820  58204  58207  58209
5821  58210  58214  58219
5823  58230  58234  58236
5824  58247
5826  58261  58263
5827  58270  58274
5829  58290  58291
5920  59203
5921  59210  59214  59216  59217  59218
5923  59231  59237
5924  59240  59241  59243  59247
5926  59261  59267
5927  59270  59271  59273  59278
5928  59280  59281  59283

  Posted by Charlie on 2013-05-28 10:22:16
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