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It's no lie... (Posted on 2022-08-18) Difficulty: 3 of 5

5-1 = 4
8-4 = 18
14-9 = 343
15-5 = 605
23-11 = ?

Find the rule that makes this work!

See The Solution Submitted by broll    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts Some Considered Thoughts Comment 3 of 3 |
Consider the r.h.s of each equation. They are:
(1) 1 * 2^2
(2) 2 * 3^2
(3) 7 * 7^2
(4) 5 * 11^2

This immediately leads one to surmise that the r.h.s of (5) should admit of the form p * q^2, where each of p and q is a positive integer. It is possible that each of p and q may even be  a PRIME NUMBER.

I have been trying ever since to connect these forms to the ones provided in the l.h.s..- but so far my efforts in that direction are yet to reach fruition.

Edited on August 19, 2022, 12:01 am
  Posted by K Sengupta on 2022-08-18 23:58:24

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