perplexus.info :: Just Math : Exponential Difficulties 3

Exponential Difficulties 3 (Posted on 2010-06-05)

Each of N, A, B and C is a base ten positive integer such that:

N = (A⁷)/7 = (B¹¹)/11 = (C¹³)/13

The minimum value of N satisfying the above set of relationships is denoted by N₀.

Determine the digital root of N₀. What is the remainder when N₀ is divided by 17?

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required remainder when N₀ is divided by 17 is 15.
For an explanation, refer to the solution submitted by Daniel in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
No Subject	K Sengupta	2023-05-18 08:24:32
No Subject	Michael Wilson	2023-05-18 06:24:38
analytical solution	Daniel	2010-06-05 23:17:04

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