perplexus.info :: Numbers : Shifting the digit

Shifting the digit (Posted on 2019-03-11)

A₁A₂A₃...A_n-1A_n/A₂A₃...A_n-1A_nA₁ = 12/17

What is the smallest value of n such that there exists solutions to the above equation?

No Solution Yet Submitted by Danish Ahmed Khan

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| Comment 2 of 5 |

Trying to solve 17*10^k - 12 = 0 quickly blew up my spreadsheet but working mod 103, given 17*10 - 12 = 55 then 17*10^2 -12 = 10*55 + 108 and the numbers become tractable.

I got n=34 also but without explicit solutions.

Posted by xdog on 2019-03-11 18:03:30

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