perplexus.info :: Just Math : N Nine Nuance

N Nine Nuance (Posted on 2016-01-29)

Determine the minimum value of a positive integer N > 2 such that:
the number 199...991, containing precisely N nines, is divisible by 1991.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required minimum value of n is 183.
For an explanation, refer to the respective solutions submitted by broll and Charlie in the comments section.

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

Subject	Author	Date
re:corrected answer only	Ady TZIDON	2016-01-29 15:38:17
re(2): possible solution	broll	2016-01-29 11:16:28
re: possible solution	Charlie	2016-01-29 11:11:04
computer solution	Charlie	2016-01-29 10:47:03
possible solution	broll	2016-01-29 09:30:19
Answer only	Ady TZIDON	2016-01-29 09:24:59

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