Why is it "deficient" Milton? Because this example does not fit? Well there is not that much special about your find. Yes, it is outside of the normal bounds a little, but not too far outside those bounds for numbers as large as you are working with. For a pair of numbers this size, you need a gap of over 115000 to qualify for Pauls list. I see nothing wrong with that, your numbers simply are not special enough. You will probably have a hard time finding gaps which work if ALL you do is search 10^n-k to 10^n+j. A search like you are doing is no better than simply starting at 10^n+1 and proceeding forward to 10^n+3, 10^n+5, ... until you find a gap of sufficient size. This is a very slow method of search, and for you to limit yourself to 10^n-k to 10^n+j you have doomed yourself to this method. The method I described in earlier emails can speed up this search by a factor of (D-1) and with D being 10 or more, that means that you can search up to 9 times faster. --- In primenumbers@y..., "Milton Brown" <miltbrown@e...> wrote: > > Your database seems to be deficient, and its > not even published. I think I will make my own. > > > ----- Original Message ----- > From: "Paul Leyland" <pleyland@m...> > To: "Milton Brown" <miltbrown@e...>; <primenumbers@y...> > Sent: Sunday, September 30, 2001 2:00 AM > Subject: RE: [PrimeNumbers] Prime GAP of 82794 > > > > > There are no prime numbers between > > > > 10^5020+47311 > > > > and > > > > 10^5020-35483 > > > > yielding a prime GAP of 82794 (or 82795). > > I make 82794/ln(10^5020+47311) about 7.163. > > Well short of the 10.0 needed to get on my top-20 page. The latter, > BTW, is now under construction and I hope to make it public within a day > or two. > > Paul

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