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Palindromic and Tautonymic III (Posted on 2010-03-23) Difficulty: 3 of 5
Make a list of distinct positive integers that are obtained by assigning a different base ten digit from 1 to 9 to each of the capital letters in this expression.

                            (A+B)*C + (D–E)/F + (GH)*I

What are the respective minimum and maximum positive palindromes from amongst the elements that correspond to the foregoing list?

As a bonus, what are the respective minimum and maximum positive tautonymic numbers that are included in the list? How about the respective maximum and minimum prime numbers?

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

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Tautonymics | Comment 2 of 11 |

The minimum positive tautonymic is 1313 = (1+7)*4 + (9-3)/6 + (2^8)*5.

The maximum positive tautonymic is 19,131,913 = (1+6)*5 + (8-2)/3 + (9^7)*4.


  Posted by Jim Keneipp on 2010-03-23 12:43:48
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