... Heuristically, this is unlikely. Let's look around 2x10^13. The next two intervals are approximately 2.000784 x 10^13 and 2.001567 x 10^13. The expected...
16473
Jose Ramón Brox
ambroxius
Apr 22, 2005 11:44 pm
... Sent: Thursday, April 07, 2005 9:38 AM Subject: [PrimeNumbers] Proof proposal, almost ready! My proof proposal is almost ready and I am pretty confident...
16474
chrisdarroch
Apr 23, 2005 12:48 am
If I can find an answer to the general case of my last postings then I can post my proof proposal immediately! I guess then, without that answered, my proof...
16475
mikeoakes2@...
mikeoakes2
Apr 23, 2005 8:10 am
... How can you possibly know whether or not you will have a "proof" if you don't yet know the answer to your question. That is absurd. Furthermore, you seem...
16476
Mark Underwood
marku606
Apr 23, 2005 12:28 pm
Let's focus on the mathematical aspects of this problem. Let p# = 2*3*5*7*...*p We know that if we block off any two mods for each of the odd primes there will...
16477
Jose Ramón Brox
ambroxius
Apr 23, 2005 12:55 pm
To see if a number n is the integer part of 105m/31, you can do the following: n + r/31 = 105m/31, with r < 31 31*n + r = 105m 31*n = 105m - r 31*n/105 = m -...
16478
Jose Ramón Brox
ambroxius
Apr 23, 2005 1:16 pm
Reading some of your past messages, I think that maybe you want a theoretical response to the question: "Given this set of numbers n, can I assure that at...
16479
Jose Ramón Brox
ambroxius
Apr 23, 2005 2:07 pm
Let's see If I have understood the definition (I have some problems with "Chris chains"): 1) We select a prime p. We list in rows all the odd primes from 3 to...
16480
alden_parent
Apr 23, 2005 2:41 pm
Hello my friends, Base for all number theory: 1,2,3: 1- not prime 2- prime 3- prime 1 =1 1+1=2 1+2=3 3+1=4 3+2=5 3+3=6 6+1=7 6+2=8 6+3=9 9+1=10 9+2=11 9+3=12 ...
16481
Jose Ramón Brox
ambroxius
Apr 23, 2005 3:07 pm
... From: "Mark Underwood" <mark.underwood@...> Let p# = 2*3*5*7*...*p [...] Here's the question: Can we select a number t which is relatively prime ...
16482
Jose Ramón Brox
ambroxius
Apr 23, 2005 3:12 pm
Oops, I took R/PrimeProduct instead of PrimeProduct/R. It's not that easy :P Forget the last post (not the part about not substracting one!). Jose ... From:...
16483
Mark Underwood
marku606
Apr 23, 2005 6:23 pm
Hi Jose To clarify and answer your questions, yes we do need a solution for every possible mod configuration and set of "n" values. (as you suspect). Why do...
16484
w_sindelar@...
Apr 23, 2005 6:59 pm
Alas, my moment of recognition passed as quickly as that of the proverbial flatus in a windstorm. (Yahoo message 16407 and associated threads). Chris Caldwell...
16485
chrisdarroch
Apr 24, 2005 1:06 am
It should be noted that the term: PrimeProduct is only the product of the odd primes and thus the term: RelativePrime can be an even number....
16486
rlbtftn@...
rlbagulatftn
Apr 24, 2005 5:39 am
Prime approximatiion sequences inspired by a post on prime group at yahoo, last digest( yesterday): 1) a[1]=2 a[n_]:=a[n]=Ceiling[a[n-1]^(1+1/a[n-1])] 2) ...
16487
Alexis Lemaire
info_13th_root
Apr 24, 2005 9:07 am
Hello, I am Alexis Lemaire from France, the world recordholder for the extraction of the 13th root of a 200-digit number. I won the title 4 days after the...
16488
Bouk de Water
bdewater
Apr 24, 2005 9:29 am
... No Goldbach? :-) Bouk. __________________________________________________ Do You Yahoo!? Tired of spam? Yahoo! Mail has the best spam protection around ...
16489
chrisdarroch
Apr 24, 2005 10:21 am
Since you guys seem to be looking at my question: as a measure of my respect for that, I shall give a little more. Each data set of 1's and 0's refers directly...
16490
Jens Kruse Andersen
jkand71
Apr 24, 2005 10:30 am
In an exhaustive search, Gennady Gusev and I have found the smallest (and only known) AP18 with the minimal difference 17#: 1027994118833642281 + 510510n, n =...
16491
Jose Ramón Brox
ambroxius
Apr 24, 2005 11:33 am
Odd roots of power numbers can be extracted with tricks (I mean, without doing the actual computation). You don't need a marvellous speed, only a pretty good...
16492
Jose Ramón Brox
ambroxius
Apr 24, 2005 12:11 pm
I haven't had the time to think much about it (I have a lot of work from University classes!) but I can say that we can restate your problem as follows: Given...
16493
Décio Luiz Gazzoni...
deciogazzoni
Apr 24, 2005 8:16 pm
Paul Leyland maintains a table of primes of the form x^y + y^x. Has anyone looked into the form x^y - y^x, and if not, is there any reason or has it just been...
16494
Jacques Tramu
echolalie
Apr 24, 2005 8:24 pm
Trés bien Alexis, mais quel rapport avec les nombres premiers ? Very well Alexis, but what is the relation with prime numbers ? ... From: "Alexis Lemaire"...
16495
Kevin Acres
codefinda
Apr 24, 2005 11:26 pm
Hi, I searched for a while using that form, but then switched to x^y +/- y^x +/- x*y. This gave fairly good results as regards the number of large PrP's found...
16496
Robin Garcia
sopadeajo2001
Apr 25, 2005 12:18 am
Félicitations,Alexis. Now ,do you really think that revolution is speed?!!? If i choose any other close prime to 13 , tell me what´s the amount of...
16497
elevensmooth
Apr 25, 2005 1:32 am
Are there any theoretical results on the variance of number of primes in an interval? Empirically, the variance is much smaller than a Poisson model would...
16498
Marty Weissman
mweissm2@...
Apr 25, 2005 1:54 am
As far as the twin primes we know, is it true that there is a pair between every set of integers between P and P squared, where P is any prime number > 2? ...
16499
Tom
thoeng
Apr 25, 2005 1:58 am
You may want to check www.opertech.com/primes/k-tuples.html as it shows the 'maximum' number of primes in an interval, including super-dense intervals where...
... A: Because it messes up the order in which people normally read text. Q: Why is top-posting such a bad thing? A: Top-posting. Q: What is the most annoying...
