Breakfast conversation:
Mark: Is there something called the Mercene primes, or the Marecene primes?
Me: Mercenne primes. Um, they’re of the form 2n+1 I think. No wait, that’s just an odd number. Um…
Mark: Is it two to the power of n plus 1?
Me: That sounds right. I forget. (Note: I was wrong, it’s two to the power of P minus 1 where, by implication, P is also prime. See, e.g., the Mersenne Wiki, or this page by an enthusiast/researcher at the University of Tennessee-Martin.) Anyway, google Mersenne series. Why do you want to know, anyway?
Mark: In case anybody asks me how many children we plan to have.
Me: Oh, I see. "Four, plus or minus two, with ninety-five percent confidence," doesn’t work anymore.
Mark: Right, so I figured I would go with "I don’t care as long as it’s a Mersenne prime." One, five, eleven, and so forth.
Me: Don’t you think the Fibonacci series would be better?
Mark: Why?
Erin: Well, at least with Fibonacci we haven’t made any mistakes yet. First we had one, then we had two, now we’re going to have three.
Mark: Ah-ha! I can say that we are having an ongoing argument about it. "Erin prefers the Fibonacci series, but I am shooting for the Mersenne primes."
Erin: Well, you know, they start out pretty close—
Mark: —but they diverge wildly after a while! Yes!
Erin: I don’t know about this "eleven" thing.
You can imagine my relief when I clicked around and discovered that eleven is not, actually, a Mersenne prime. (Of course, I had to send an e-mail to Mark at work with the subject line "URGENT: MERSENNE PRIMES," lest he make a fool of himself describing our family planning strategy to some product formulator who turned out to be a closet GIMPS enthusiast.)
UPDATE: This post seems to have inspired some commentary elsewhere — see, e.g., Rutabaga Dreams. And Selkie, which seems to be a pretty cool homeschooling mom blog too.