--- In

primenumbers@yahoogroups.com, Phil Carmody wrote:

> > http://www.mersenne.org/

> Wow.

Wow, indeed. Big congrats to George, Curtis and colleagues.

I found a small mathematical nit to pick in the press release:

http://www.mersenne.org/various/57885161.htm > there certainly are larger Mersenne primes

The certainty of that proposition remains unproven to the

best of my knowledge.

Of course we all suppose that there is an infinitude of

Mersenne primes. But in the announcement of such a fine feat

it might have been better to distinguish supposal from proof:

Now the best principles, excepting divine, and mathematical,

are but hypotheses, within the circle of which we may indeed

conclude many things, with security from error. But yet the

greatest certainty, advanced from supposal, is still but

hypothetical. So that we may affirm, things are thus and

thus, according to the principles we have espoused. But we

strangely forget ourselves, when we plead a necessity of

their being so in nature, and an impossibility of their

being otherwise.

Joseph Glanvill (1636-1680)

David