--- In

primenumbers@yahoogroups.com, "Aldrich" <aldrich617@...> wrote:

>

> It is my contention that the principle

> of Primemine2 makes it a valid primality

> test for all 8499 batches of outputs

> produced. Since proof for this type of

> en masse testing is unlikely to be found

> anytime soon, I am seeking to find any

> counterexamples among the four billion

> integers on the list that I claim to be

> prime, be they either pseudoprime or

> programming error.

>

> I offer $100 for the first one found.

>

> Aldrich

>

Caveat! A power of a prime does not count

as a counterexample; it is easily accounted

for and is neither a psuedoprime nor programming

error - merely a minor exception along with

integers N mod 111 = 0 that have a single factor

3 and/or 7 that must be removed.

I see also that the original statement above

suggests that the principle might stop working at

batch 8500. Not so! It should be able

theoretically to go on to any arbitrary limit,

though practically speaking there are various

constraints.

a.