perplexus.info :: Numbers : Arithmeic Mean Crossed Positive Integer Puzzle

Arithmeic Mean Crossed Positive Integer Puzzle (Posted on 2024-01-03)

A (base ten) positive integer N (with non leading zeroes) such that each of the digits of N, with the exception of the first digit and the last digit, is less than the arithmetic mean of the two neighboring digits.

Arrange all the integers satisfying the above in strictly ascending order.

What is the 100th number?

Note:no 1-digit or 2-digit number qualifies, since there are not enough digits to test.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required 100th number is 346.
The largest number having this property is 96433469.
For an explanation, refer to the solution submitted by Larry in this location.

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

	Subject	Author	Date
	Computer solution	Larry	2024-01-03 11:56:12

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