--- In

primenumbers@yahoogroups.com,

"Jens Kruse Andersen" <jens.k.a@...> wrote:

> David Broadhurst wrote:

> > The first 7 primes that divide

> > 137^(137^(137^(137^137))) + 73

> > are 2, 3, 5, 29, 821, 23339, 67525153.

> >

> > Puzzle: Find the first 7 primes that divide

> > 137^(137^(137^(137^(137^137)))) + 73

>

> The same.

As might have been expected, Jens was the first

to post what I believe to be the correct solution.

Almost at the same time, Richard FitzHugh

sent me, privately, the same answer:

> I get the same first 7 primes to divide your larger number

> (namely 2, 3, 5, 29, 821, 23339, 67525153). This seems very

> strange indeed! It took about 6 minutes of actual processor

> time, after about 20 minutes of trying to accurately place

> all the brackets in the nested eulerphi calls!

Like Richard, I find this result to be "strange indeed".

Can anyone tell Richard and me why we should not be surprised?

With thanks to all concerned

David