anybody know what the 10^13th prime number is? and if you know that one can u also list the 10^14th and 15th and so on til 20th if you may? i found a pattern...
19341
Jens Kruse Andersen
jkand71
May 2, 2008 1:45 am
... See http://www.research.att.com/~njas/sequences/A006988 for up to 10^18. At http://primes.utm.edu/nthprime/index.php you can find the nth prime for any n...
113983·2^3201175-1 963655 L613 May 2008 (rank 19) Congrats to the discoverer and to the Rieselsieve project for this near megadigit Riesel prime discovery,...
19343
gulland68
May 4, 2008 1:20 am
I have a question about notation. I'm trying to formulate an approach to the sieve of Eratosthenes while working into the model principles that are not...
19344
Kermit Rose
kermit1941
May 4, 2008 2:52 pm
One of my factoring schemes evolved into the following. z represents the integer to be factored. Let r1,r2,r3 be three primes selected so that (r1 + r2 + r3 +...
19345
Sebastian Martin
sebi_sebi
May 5, 2008 11:10 am
Hello All: I send a new conjecture: Conjecture for integer linear combinations of primes ... Let n a even number , for all 2<=k <=n/2 exists one or more...
19346
Kermit Rose
kermit1941
May 6, 2008 12:11 pm
Define f_n(b) recursively by f0(b) = 0 f1(b) = 1 f_m(b) = b * f_(m-2) + f_(m-1) f0 = 0 f1 = 1 f2 = 1 f3 = b + 1 f4 = 2 b + 1 f5 = b**2 + 3b + 1 for b = 0 to...
19347
Kermit Rose
kermit1941
May 6, 2008 12:27 pm
1. Conjecture for integer linear combinations of primes Posted by: "Sebastian Martin" sebi_sebi@... sebi_sebi Date: Mon May 5, 2008 4:10 am ((PDT)) Q1=Is...
19348
Sebastian Martin
sebi_sebi
May 7, 2008 7:52 pm
Let n,m positive integres greater than one. Let: TW(n,m)=((n-1)!+1)((m-1)!+1)(n^2+m^2)/(n^2m^2+2nm) We define n and m are pseudotwinprimes iff ...
19349
Sebastian Martin
sebi_sebi
May 7, 2008 11:37 pm
I have found another PseudoTwinprime pair 41 and 1993 (1993 don't is Twin Prime) Sincerely Sebastián Martín Ruiz ... De: Sebastian Martin...
19350
Paolo Taraboi
olo4all@...
May 8, 2008 1:07 am
Is well known that prime numbers can be found with sieve of Eratosthenes
and that they are all type 6n+1 or 6n-1. I do not think that it's already known that...
19351
Sebastian Martin
sebi_sebi
May 8, 2008 11:51 pm
Hello: I send you: PseudoTwin primes 2<=n,m<=2000 There are only two pairs that donn't are Twin Primes PSEUDOTWIN PRIMES PSEUDOPRIMOS GEMELOS ...
19352
Phil Carmody
thefatphil
May 9, 2008 11:13 am
... 2 isn't. There's another one too, but I'll let you work that one out yourself. ... You think incorrectly. It's a direct consequence of the corrected...
19353
Paolo Taraboi
olo4all@...
May 9, 2008 5:55 pm
Well, this is a sophism. It's true: 2 and 3 are primes but not 6k+-1; but I suppose primes should be ordered in different levels of quality: 1 is a prime...
19354
Sebastian Martin
sebi_sebi
May 10, 2008 10:06 pm
Hello: I send you a puzzle for a new tipe of numbers: http://www.primepuzzles.net/ Sincerely Sebastián Martín Ruiz ...
19355
Paolo Taraboi
olo4all@...
May 11, 2008 10:10 am
This is a first version of the prg which uses twon long-based vector as a
prime position index and long for values; I'm working (with some difficults) on a...
19356
Kermit Rose
kermit1941
May 15, 2008 3:48 pm
Diaphantine Analysis Consider the equation x y = z where z is a given positive integer, not prime, and not divisible by a small prime. z is odd. z = x y z is...
19357
jarek372000
May 17, 2008 6:16 am
This morning the first known AP25 has been discovered: 6171054912832631 + 366384*23#*n, for n=0 to 24 (Raanan Chermoni & Jaroslaw Wroblewski, May 17 2008) My...
19358
Phil Carmody
thefatphil
May 17, 2008 8:47 am
... Wow! A marvelous find. I think a lot of people here have been crossing their fingers for you over the last few months as the AP24s have been coming in, I...
19359
jarek372000
May 17, 2008 9:45 am
I am not sure what was the exact CPU power used, as Raanan was distributing the program among his computers, and also the number and kind of computers he had...
19360
Paul Schmidt
pschmid0
May 17, 2008 1:33 pm
Jarek, I might be interested in helping to set up a distributed system. Since each segment is independent, this shouldn't take anything fancy. I am a...
19361
Jens Kruse Andersen
jkand71
May 17, 2008 4:30 pm
... Huge congratulations! This is a very impressive and well deserved feat. http://hjem.get2net.dk/jka/math/aprecords.htm is updated. As the only known AP25 it...
19362
Lélio Ribeiro de P...
lelio_73
May 17, 2008 4:58 pm
Each Sierpinski (and Riesel) number and the dual of it always have the same covering set as it is easy to see. So we only need to find a prime for a candidate...
19363
Chris Caldwell
primemogul
May 17, 2008 6:40 pm
... I agree! Decided to change my 2006 banner notes about the last Mersenne to this AP on my "main" page primes.utm.edu/ and primes.utm.edu/largest.html ... ...
19364
Jens Kruse Andersen
jkand71
May 17, 2008 8:47 pm
... Nice. I see it's already in Prime Curios!: http://primes.utm.edu/curios/page.php/6171054912832631.html This can also be updated: ...
19365
Phil Carmody
thefatphil
May 18, 2008 8:04 am
From: Lélio Ribeiro de Paula ... By Sierpinski's definitions, finding a prime in the dual set does not remove the k value as a candidate to be what was later...
19366
Jack Brennen
jbrennen
May 18, 2008 2:42 pm
... Indeed, the prime of the form k+2^n might be in the covering set for the numbers of the form k*2^n+1....
19367
julienbenney
May 19, 2008 2:11 am
Your idea is very interesting. My readings about near-repdigit numbers has made me fascinated by Sierpinski and Riesel numbers and especially their covering...
19368
Lélio Ribeiro de P...
lelio_73
May 19, 2008 10:50 am
... No, it cannot. The covering sets of all known Riesel and Sierpinski numbers are exactly the same as that of their duals, as can be easily seen. So if a...
19369
Phil Carmody
thefatphil
May 19, 2008 10:59 am
... Now reread what Jack wrote (which was also going be in my original post too, but thinking that it was a bit obvious I removed it for brevity), and think a...
