I am also confinced that such a chain is possible. It will be extremely rare though. You might want to check out: http://www.ltkz.demon.co.uk/ktuplets.htm A...
1220
Andrey Kulsha
Andrey_601@...
Jun 1, 2001 1:12 pm
Hello! ... There are 7 chains of 8 consecutive twins below 10^13, found by Denis DeVries. This is a copy of his message sent on ... From: Denis DeVries...
1221
Dick Boland
richard042@...
Jun 1, 2001 2:44 pm
Hello, Given any two consecutive sequences of an equal number of consecutive integers, heuristically, the ratio of the number of primes in each sequence...
1222
Hans.Rosenthal@...
Jun 1, 2001 6:43 pm
In Crandall/Pomerance "Prime Numbers" on the pages 381-382 you can find a longish polynomial. The last pair of parenthesis on page 381 seem not to be...
1223
Dick Boland
richard042@...
Jun 2, 2001 12:28 am
Hello all, I have reason to believe that I can prove the following prime distribution model. pi(g^2)-pi((g-1)^2)~pi(3*g/2)-pi(g/2) Can some of the people on...
1224
Andrey Kulsha
Andrey_601@...
Jun 2, 2001 1:25 am
Hello! This is a complete list of prp's of the form a^b+b^a, where 1<a<b<1001: 2^3+3^2 2^9+9^2 2^15+15^2 2^21+21^2 2^33+33^2 3^56+56^3 5^24+24^5 7^54+54^7 ...
1225
Bouk de
bdewater@...
Jun 2, 2001 2:13 am
... You might want to try that yourself. You'd be surprised at the speed at which Titanix can prove primes with less than 2000 digits. There are a few larger...
1226
Nathan Russell
nrussell@...
Jun 2, 2001 5:57 am
... I'd have to say (based on my limited knowledge) a LOT of time. A rough mental estimate using logs seems to indicate that some of his numbers are in the...
1227
Bouk de
bdewater@...
Jun 2, 2001 11:15 am
If I am correct none of the prp's has more than 3000 decimal digits which makes them all provable by Titanix in a sensible amount of time. 9000 digits would...
1228
Andrey Kulsha
Andrey_601@...
Jun 2, 2001 11:26 am
Hello! ... Yes, I know: 2057-digit prime took less than 4 days on Duron-700 with Titanix 2.0.4b, so on Athlon-1200 all these prp's can be proven in 2 weeks or...
1229
mikeoakes2@...
Jun 2, 2001 12:56 pm
In a message dated 02/06/2001 01:29:30 GMT Daylight Time, ... [snip] By the Prime Number Theorem (PNT), pi(x) ~ x/ln(x) as x -> infinity. Inserting this, the...
1230
Christ van Willegen
christw@...
Jun 2, 2001 4:36 pm
Hi, ... I have no prior Titanix experience, but I think it's time for me to give it a try... Andrey, I am willing to use my Athlon-800 for a few days to try to...
1231
d.broadhurst@...
Jun 2, 2001 5:27 pm
... Phil the mod might sleep easier on his bus if combined efforts resulted in 5 ECPP primes with more than 1905 digits. Then the illegal part of Chris...
1232
d.broadhurst@...
Jun 2, 2001 5:35 pm
... I forgot to add: if you do not have a code with Titanix in it, ask Chris Caldwell for a c? code, so Marcel get recognized. (c is the first first letter of...
1233
Phil Carmody
fatphil@...
Jun 2, 2001 5:59 pm
... Mod? _Mod_? Never has a rocker been so offended! (Yeah, yeah, I know what you meant.) Anyway, I was just curious - I noticed that 3 of the entries in the...
1234
Paul Leyland
pleyland@...
Jun 2, 2001 6:46 pm
... List deleted. ... I posted to this very forum exactly the same list on Thursday 22nd February under the Subject: "Primes and strong pseudoprimes of the...
1236
d.broadhurst@...
Jun 2, 2001 10:13 pm
... Hmm... a^(a-1)+(a-1)^a doesn't look circle cutting (cyclotomic) from here. I think cyclotomy is always a^n-b^n (and if you want the full Monty, set ...
1237
d.broadhurst@...
Jun 2, 2001 10:17 pm
Marcel Martin ... Won't it still be enough to use the usual Windoze hack of copying the partial cert from one directory to another, from time to time. That...
1238
Andrey Kulsha
Andrey_601@...
Jun 2, 2001 10:27 pm
Hello! ... for me ... Well, I may prove the numbers which have <=1000 digits. But: ... two in the ... uninteresting. Paul, please send us a list of primes you...
1240
d.broadhurst@...
Jun 3, 2001 3:24 am
Marcel Martin wrote ... It works fine, for me, with the least objectionable of these, i.e. W95. But if folk have been forced to downgrade to subsequent...
1241
Dick Boland
richard042@...
Jun 3, 2001 8:56 am
Hello, When g=2762, g^2=7628644, My distribution function, pi(3*g/2)-pi(g/2) ~ pi(g^2)-pi((g-1)^2) predicts 350 primes vs. actual 390 primes, error= -40 or...
1242
Christ van Willegen
christw@...
Jun 3, 2001 11:32 am
Hi, ... yesterday-evening, I threw Titanix at 98^663+663^98, and this morning it reported the following: Time: 7h 16mn 15s Test: 191 Candidate certified prime ...
1243
Andrey Kulsha
Andrey_601@...
Jun 3, 2001 7:10 pm
Hello! When Windows crashes and computer reboots, Scandisk automatically deletes all report files because they have incorrect size. So we must set "AutoScan=0"...
1244
d.broadhurst@...
Jun 3, 2001 8:05 pm
... Better yet is "BootGUI=0" and then clean up yourself, using a sane tool from Norton, before abandoning control with...
1245
Andrey Kulsha
Andrey_601@...
Jun 3, 2001 8:25 pm
Hello! ... I've just meant a situation when computer reboots without our control (e.g., we are sleep, and Windoze has gluked). Andrey...
1247
Andrey Kulsha
Andrey_601@...
Jun 3, 2001 9:17 pm
Hello! ... it ... the ... Hmmm... I can't understand the question. What must Titanix users to do with the executables? AFAIK, the filesize of "0" and...
1248
d.broadhurst@...
Jun 4, 2001 1:45 am
... Well my computer would never dare to do that. It knows that I would shoot it:-) I repeat: control freaks should set BootGUI=0 David...
1249
Barubary
barubary@...
Jun 4, 2001 4:58 am
Why not take the prime95 approach to this? Every so often, save your current results to disk. But rather than saving to simply 1 file, alternately save to 2...
1250
Giovanni La Barbera
giolaba@...
Jun 4, 2001 5:15 am
Hi, 10^3999 + 4771 is prime. The proof took about 3000 h of a PENTIUM III, 800 MHZ, with the help af a second PIII for difficult steps. The program used is...
1251
d.broadhurst@...
Jun 4, 2001 5:39 am
Fantastic feat by Giovanni, Marco and Marcel to push ECPP to 4k digits. It is very impressive that Tx scales up so well. By my reckoning, the records of ...
