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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 + (DE)/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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Primes | Comment 3 of 11 |

The minimum prime is 29 = (8+3)*2 + (9-4)/5 + (1^7)*6, which is just one of many ways of expressing this number.

The maximum prime is 939,524,137 = (2+6)*5 + (4-1)/3 + (8^9)*7.  (I cheated and used an internet applet to check the primality of this number.)


  Posted by Jim Keneipp on 2010-03-23 13:20:11
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