--- rlberry2002 <

rlberry2002@...> wrote:

> --- In primenumbers@y..., Phil Carmody <thefatphil@y...> wrote:

> > Take a twin prime pair a-1 and a+1.

> > Now form Pa = (sqrt(a-1)+sqrt(a+1))^a.

> >

> > Also take a (non-twin) [prime] pair b-2 and b+2

> > Then form Pb = (sqrt(b-2)+sqrt(b+2))^b

> >

> > What interesting feature does Pa have that Pb doesn't have, and

> why?

> Hint #1: ^a and ^b are a real distraction!

I wouldn't say so - in fact I'd say they're an _integral_ part of the

property I'm thinking of. (hint embedded in that, if you hadn't

guessed :-) .)

I forgot to say that a high-precision calculator is required for any

terms apart from the smallest few, and the smallest few barely

display the property.

Phil

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