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 Reverse Role (Posted on 2014-10-15)
A two-digit base 7 positive integer has its digits reversed when expressed in base N.

What are the possible values of N satisfying the given conditions?

 No Solution Yet Submitted by K Sengupta Rating: 3.0000 (1 votes)

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 re: More Bases (spoiler) | Comment 3 of 4 |
(In reply to More Bases (spoiler) by Steve Herman)

Nice job, Steve.  It, too, had used the equation 7a+b = Nb+a to find N.
N := {4,5,7,9,10,11,13,16,19,25,31,37}

117 = 117
127 = 214
217 = 1213
227 = 227
237 = 325
317 = 3119   <-- (Thanks Charlie)
327 = 2310
337 = 337
417 = 1425
427 = 2413
437 = 349
447 = 447
517 = 1531
527 = 2516
537 = 3511
557 = 557
617 = 1637
627 = 2619
637 = 3613
647 = 4610
667 = 667

Edited on October 15, 2014, 12:42 pm

Edited on October 15, 2014, 9:21 pm
 Posted by Dej Mar on 2014-10-15 12:35:45

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