perplexus.info :: Numbers : Three Digit Integers Crossed 170 Multiple Muse

Three Digit Integers Crossed 170 Multiple Muse (Posted on 2023-04-19)

Think of this problem as an extension of Two Digit Integers.

Find all possible three digit positive integers N for which the sum of digits of 10^N - N is divisible by 170.

Provide valid reasons for your answer.

Note: Computer program/ spreadsheet aided methodologies are welcome, but a semi-analytic (simple calculator + p&p) solution is preferred.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

Both Larry and Charlie has colclusively proven that there is NO three digit positive integer N that conform to the given conditions.
However, Larry has provided a list of four digit positive integers that conform to the given conditions in this location.

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

Subject	Author	Date
No Subject	K Sengupta	2023-04-27 23:51:07
Get directions	katyswift468	2023-04-20 21:18:33
logitech steering wheel xbox one	The Designs Inc	2023-04-20 01:52:30
some mod info	Charlie	2023-04-19 17:56:14
Computer solution	Larry	2023-04-19 11:07:43

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