(I'm quite poor at choosing subjects, you see.) Well, I found my notecard of predictions that I had calculated a while ago with my conjecture. Here are some of the values I computed. These can either be used for a good laugh (M100 in particular is nice to look at), or you can write these values down and see how close they hit the mark (live long and find Mersennes?). At the time I only had data for Mersenne prime exponents up to 3021377 (i.e. not 6972593), and I calculated what M37 should have been as a test. It's pretty close. My prediction for the 6M prime was also close. Now, to find the missing Mersenne.... Here I call M# to be q instead of 2^q-1 for brevity. M37 (known at the time to actually be 3021377): 3166795 M38: 4673434 (the elusive missing Mersenne?!? If there is no Mersenne prime around here, then the 3021377-6972593 gap is almost as large as the 127-521 gap!) M39: 6896873 (There is a prime at 6972593 in this region. But is it M38 or M39?) M40: 10178139 M41: 15020505 M42: 22166682 M43: 32712733 M44: 48276189 (hence my conjecture that the decamegaprime is either right at the 10M digit limit, or has an exponent around 48M) M50: 498689073 M75: 8379797036294 M100 ~ 140811183105000000 (that's its EXPONENT, whoo hoo. The inaccuracy is due to the precision limitations of my calculator) As for myself, I'm *really* hoping that there's a missing Mersenne. Time will tell.... -*---*------- S.T.L. _________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.tasam.com/~lrwiman/FAQ-mers
