--- In

primenumbers@yahoogroups.com,

Robin Garcia <sopadeajo2001@...> wrote:

> Yes, David.

My answer to your first part:

> ((1250*2011+9)^625+2)/2011 is 3-PRP! (1.2318s+0.0412s)

> ((4178*2011+9)^625+2)/2011 is 3-PRP! (1.6907s+0.0518s)

> ((9128*2011+9)^625+2)/2011 is 3-PRP! (1.7720s+0.0710s)

was very easy, using the simple identity

znlog(-2,Mod(3,2011)) = 2*5^4.

> What is the next prime p such that there is n such that

> (n^(p^p)+2)/2011 is prime ?

You say "next", but have you already solved the "puzzle" for

some at least one prime? If so, what is that prime, after

which we are supposed to find the "next" prime? Moreover, do

you hold, privately, such a "next" prime, thereby ensuring

that your "next prime" puzzle might be solved by others?

In the puzzles that set here, I know in advance that there

is a solution that may be found by others in a reasonable

time. Do you have a private solution or are you just

fishing, hoping that others will succeed where you have

failed? A candid answer: "solution known to exist", or

"merely fishing", would be helpful, in this case.

Finally you have yet to produce certificates for the

probable primes that I list above, or to apologize for

claiming primality in situations where you have not yet

proven primality.

Best wishes

David (per proxy znlog and Primo)