Why didn't my original OP appear on web mail? One or two of my others have gone astray, two. It was: <<(on the subject of the shape of the skewed bell curve...
Trial division can be an easy and predictable way to verify primality if the number is not too large. I am hoping that someone who has a commercial factoring...
... I don't have any commercial factoring program but here is the free PrimeForm/GW: C:\Users\Jens>pfgw -f -e2000000000 -q1986619529684749961 PFGW Version...
... Is your program dividing by all numbers up to sqrt[n] or just the prime ones? Admittedly, it's a lot more complicated and can be quite memory-intensive to...
The small Darío Alpern's applet in this page: http://www.alpertron.com.ar/ECM.HTM also certifies it is a prime in a fraction of second. (On a 1.13 GHz ...
You might still have some fun with this old beauty if you happen to have a 1992 Borland Turbo Pascal compiler. Yep, I'm afraid that the pentium 3 is really,...
A few weeks ago, my computer spit out a Carol PRP, but I didn't realized it until yesterday. THis number was tested today and was found out to be prime. The...
This type of division runs much faster than the usual method and may have made it a contender in 1993 for the swiftest factoring method widely available. To...
... Probably not. ... 'Come upon'? ... That is not the main loop, the main loop would contain the procedure by which you 'come upon' the pair (41,61), and...
... 1993, "widely available"? I'm looking at my copy of Riesel's "Prime Numbers and Computer Methods for Factorization" -- I have the second edition, which was...
Hello, I recently found the following statements : Let L(k) be the Lucas sequence L(0)=2, L(1)=1, L(k+2) = L(k+1) + L(k) Let M(n, p) = (n+1)^p - n^p for n >= 1...
... Welcome to the list. ... Yes, one that's been used by several before you. ... I'm not familiar with it. I suspect that it's not a proven result as a ...
Hi Phil, ... (k) ... can ... (n^p ... such ... (n^p ... well ... as a ... Primality ... limit the ... prove they're ... sorted). I don't ... size of ... Well,...
... Wow! Excellent. Jack, or someone, any model for when the next one's due, assuming a sperical homogeneous Poisson? Phil () ASCII ribbon campaign ()...
... I can't seem to find any "real" numbers on how far the remaining 7 k values have been tested. The SoB pages seem to indicate that all of them have been...
Many congrats to the discoverer and all participants for this outstanding result!! However, I have two questions about it : 1) If I am not wrong, the record...
... That's quite optmistic. Maybe the one just found was that one! ... Remind me to never ignorantly cross you, Jack ;-) ... We're most of the way there....
3853775193*2^80000+1 3853775193*2^80001+1 http://primes.utm.edu/primes/page.php?id=80350 The sieving was performed for a CC3 (NewPGen) for double the ...
... First, I realize reading this that I'm being way too precise. With the unknown depth of search, and the inaccuracy of the Proth weight values, I should...
Polignac's conjecture says all even prime gap sizes occur infinitely many times. So far the only known way to prove existence of a gap size is to find an...
... gaps in ... where log ... above 20. ... 22.34. ... Jens: Congratulations on adding yet another /very/ nice page to your site. The only "sticking point" I...
... Thanks. It's actually an old page originally started by Paul Leyland: http://hjem.get2net.dk/jka/math/primegaps/leylandgaps20.htm The only new page is...
... have ... Yet, is it not true that your own Chinese Remainder Theorem technique is equally designed to do precisely just that ! (I obviously can't sway you,...
... Sorry, I'm probably being stupid and missing your point, which is: you want to give extra credit where /no/ such technique is employed, don't you? My bad. ...
... Yes. Credit for doing something harder but more "natural". I recall an old Guinness edition which in addition to the official world record listed "fastest...
All, Years ago I plotted a frequency distribution of prime gaps from 2 to some small limit and the curve always looked similar to the curve for black body...
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