fill the blank

[Tapan]

4 5 8
525 ? 27

[DiGiTaIErRoR]

[NotLKH]

Originally posted by DiGiTaIErRoR

I believe its similar to the sequence of X Y Z, where x^2 + y^2 = z^2, like this:

3 4 5
5 12 13
7 24 25,


however, in his case, the first term is a square, the third is a cube, and the second has some relationship between the first and the third.

I'll think about it later.

-Lou

[DiGiTaIErRoR]

I see a few patterns...

like...

4 5 8

4+5 = 9 - 1 = 8

giving something like:

2 4 5 8 12 19 30

So a wild guess at '?' would be 499. It does make a pattern atleast.

I don't know about x^2+y^2=z^2, as:

sqr(4^2+5^2) =+/-sqr(41)

[DiGiTaIErRoR]

Another pattern...

sqr(4^2+8^2)= +/-4 sqr(5)

Coincidence? Probably!

If we do the same for the next series...

sqr(525^2+27^2)= +/-3 sqr(30706)

So '?' could be 30706....