Hello, ... No, But!, I did look at 2^n*n#-1 and have assembled my fragments. They have a good, neat looking form, but the form is also flawed. For non-prime n,...
8088
mgrogue
Aug 3, 2002 2:22 am
... E.g., 1801#^16+1 is prime. ... Check out http://home.btclick.com/rw.smith/pp/page1.htm and http://ourworld.compuserve.com/homepages/hlifchitz/ --Mark...
8089
John W. Nicholson
reddwarf2956
Aug 3, 2002 3:23 am
http://www.primepuzzles.net/conjectures/conj_008.htm Proof of D. Andrica conjecture. Two squares one with area P(n) the other P(n+1) where P(n+1) < 2*P(n) by...
8090
djbroadhurst
Aug 3, 2002 9:05 am
Let p and q be successive primes. Andrica conjectures that q - p < sqrt(q) + sqrt(p) whereas Tschebysheff proved merely that q - p < p which is far weaker....
8091
Jon Perry
jon_perryuk
Aug 3, 2002 10:47 am
... Andrica conjectures that q - p < sqrt(q) + sqrt(p) whereas Tschebysheff proved merely that q - p < p which is far weaker.<<< Andrica's conjecture doesn't...
8092
Jon Perry
jon_perryuk
Aug 3, 2002 10:56 am
p, p(p+1)+1, p(p+1)(p+2)+1, p(p+1)(p+2)(p+3)+1 are all primes. Alternatively, p(p+1)-1 or p(p-1)+1 or p(p-1)-1 e.g. 2, 2.3+1=7 3, 3.4+1=13, 3.4.5+1=61 Jon...
8093
Nathan Russell
pakaran42
Aug 3, 2002 8:11 pm
... *nod* I took the first and second tests - the ones that aren't the olympiad, I forget what they're called - and became the first kid in my district to be ...
... The AHSME (Annual High School Math Exam) and the AIME (Annual Invitational Math Exam). I think that approximately 1% of the AHSME contestants get invited...
8096
djbroadhurst
Aug 4, 2002 12:40 am
... I have good friends in US, UK and Russia who have been through such competitive mills and have clearly not been harmed by them. Even so, it seems to me...
8097
Jack Brennen
jbrennen
Aug 4, 2002 1:52 am
... I didn't find it to be harmful at all. It did likely steer me away from a career in mathematics, mainly because I learned for the first time in my life...
8098
John W. Nicholson
reddwarf2956
Aug 4, 2002 2:13 am
I am wondering if this is positive or saying that it is not strong enough. I also think I may be unclear so I restated it again below. ... From: "djbroadhurst"...
8099
John W. Nicholson
reddwarf2956
Aug 4, 2002 8:25 am
I know that I have been using Tschebysheff proof. But is there somewhere on the net a proof of this? I just would like to see how he did it. [Non-text portions...
8100
Jon Perry
jon_perryuk
Aug 4, 2002 8:28 am
What David is saying is that you have merely re-worked Tschebysheff's proof. Without having put in anything extra into the system, all you have done is find...
8101
Jon Perry
jon_perryuk
Aug 4, 2002 8:43 am
#I know that I have been using Tschebysheff proof. But is there somewhere on the net a proof of #this? I just would like to see how he did it. I haven't seen a...
8102
Andrey Kulsha
andrey_601
Aug 4, 2002 8:55 am
... [snip] ... p#^2^n+1 isn't primoproth, it's primo-generalized-fermat. So, 1801#^16+1 appears to be the largest known such number (p#^2^n+1)? Best wishes, ...
8103
Phil Carmody
thefatphil
Aug 4, 2002 9:21 am
... Jon, I don't know if you're trying to be "Me Too" to David's "Big Dog", http://www.winternet.com/~mikelr/flame3.html ? However, you're not really in a...
8104
Andrey Kulsha
andrey_601
Aug 4, 2002 10:09 am
... Such PRIME number, of course. Andrey...
8105
Andrey Kulsha
andrey_601
Aug 4, 2002 10:12 am
Please forgive me my spaming... ... 789 7457#^16+1 50805 p16 2000 Generalized Fermat I should be more attentive. Best wishes, Andrey...
8106
Jon Perry
jon_perryuk
Aug 5, 2002 5:13 pm
Into various permutations of the original: http://www.users.globalnet.co.uk/~perry/maths/extendingtensquares/extendingt ensquares.htm including quadruples such...
8107
jbrennen
Aug 5, 2002 6:33 pm
... Oh, really. I found a solution. :-) (a,b,c,x,y,z,n) == (2,171,25326,7,37,163,3) To effectively search this, don't vary (a,b,c). Instead choose n, then...
8108
John W. Nicholson
reddwarf2956
Aug 5, 2002 7:22 pm
... From: "richard042" <richard042@...> To: <primenumbers@yahoogroups.com> Sent: Saturday, August 03, 2002 3:31 PM Subject: [PrimeNumbers] Re: Proof of...
8109
Jon Perry
jon_perryuk
Aug 5, 2002 8:13 pm
(a,b,c,x,y,z,n) == (2,171,25326,7,37,163,3) Nice work. It's still unsolved for n>3 though. See: ...
8110
Jon Perry
jon_perryuk
Aug 5, 2002 8:14 pm
at: http://www.users.globalnet.co.uk/~perry/maths/nproducingprimes/nproducingpri mes.htm Jon Perry perry@... ...
8111
Phil Carmody
thefatphil
Aug 5, 2002 8:14 pm
... Smart method. n=4 (1352,9539880,9768370,337,339,3107,4) Phil ===== -- The good Christian should beware of mathematicians, and all those who make empty...
8112
Jon Perry
jon_perryuk
Aug 5, 2002 8:43 pm
... I agree, see same page for quote. P.S. I hope you are all checking the case for 4 variables (nay 5...).... Jon Perry perry@... ...
8113
John W. Nicholson
reddwarf2956
Aug 5, 2002 8:50 pm
One small but big change See it near bottom. ... is ... Change the following Let us replace (a-1) with a real number k. So there is an real 0 < k < a such...
8114
S.R.Sudarshan Iyengar
sudarshansr
Aug 6, 2002 2:15 am
Dear friends, What is the biggest prime known so far? What is the biggest known twin prime? Where can I get more details about the ways through...
... From: "John W. Nicholson" <johnw.nicholson@...> To: <primenumbers@yahoogroups.com> Sent: Sunday, August 04, 2002 3:25 AM Subject: [PrimeNumbers]...
