Seventeen Twenty-nine

Algebra Level 2

Suppose that a , b a,b and c c are consecutive (integer valued) terms in an arithmetic sequence, and that a b c = 1729 abc = 1729 .

Find a + b + c a+b+c .


The answer is 39.

Samir Betmouni by Samir Betmouni , 51, United Kingdom

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1 solution

as 1729 = 7 × 13 × 19 1729 = 7\times13\times19

Simply 7 , 13 , 19 7 , 13 , 19 are in A.P. with First term 7 7 and Common Difference 6 6 .

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