... That was, of course, precisely the point made sagely by Chris. You seem, Bill, to be able to appreciate part of the sense of Chris's point. Yet you still...
21402
Jaroslaw Wroblewski
jarek372000
Apr 14, 2010 6:46 am
A World Record Arithmetic Progression of 26 primes has been found on April 12, 2010 by PrimeGrid. The progression is written as...
21403
Norman Luhn
nluhn
Apr 14, 2010 8:26 am
Big congratulations ! It is about time ! So many AP25 was found, shortly befor to find an AP27! Best, Norman ... Von: Jaroslaw Wroblewski...
21404
Robin Garcia
sopadeajo2001
Apr 15, 2010 11:45 am
In other words, it is proven that there are infinetily many primes of the form n^2+m^2 but not for a determined n or m [Non-text portions of this message have...
21405
Chris Caldwell
primemogul
Apr 15, 2010 11:54 am
Robin Garcia: In other words, it is proven that there are infinetily many primes of the form n^2+m^2 but not for a determined n or m Yes. When you fix...
21406
Andrey Kulsha
andrey_601
Apr 18, 2010 8:53 pm
Will Edgington reports in http://www.garlic.com/~wedgingt/factoredM.txt that this number is fully factored and lists the following factors of Phi(3780,2): 7561...
21407
djbroadhurst
Apr 19, 2010 12:48 am
... Yes, Andrey: you failed to understand that Will expects you to do the remaining Aurifeuillian factorization for yourself. Here, I ask Pari-GP to do it for...
21409
Tom Hadley
kctom99
Apr 21, 2010 9:26 pm
... Yes, you are correct. Equivalently, all primes except 2 and 3 are of the form 6*n-1 or 6*n+1. Note: 5 = 6*0+5 and 7 = 6*0+7 so 5 and 7 fit your form ...
21410
Norman Luhn
nluhn
Apr 21, 2010 9:55 pm
Interjection: Another gigantic-PRP is maybe proven prime end of May 2010 best wishes N.L....
21412
Jack Brennen
jbrennen
Apr 21, 2010 11:04 pm
Yes, common knowledge. There are eight numbers between 0 and 30 which have no factor in common with 30: 1, 7, 11, 13, 17, 19, 23, 29....
21413
Ali Adams
alipoland
Apr 22, 2010 12:37 pm
Greetings all, Can someone please help with validating if the following 62-digit number is a prime or not: ...
21414
maximilian_hasler
maximilian_h...
Apr 22, 2010 12:50 pm
using PARI/gp, ? ?isprime isprime(x,{flag=0}): true(1) if x is a (proven) prime number, false(0) if not. If flag is 0 or omitted, use a combination of ...
21415
Walter Nissen
nissen@...
Apr 23, 2010 2:44 am
Greetings , UBASIC , running the supplied primality test , APRT-CLE , on an 11-year-old Pentium II at 266-MHz , produced this output : ...
21416
Andy Steward
jpsviking
Apr 23, 2010 5:49 am
Hi All, ... I also use that program for numbers below 250 digits. I have modified it to run in batch mode: an input file has the serial number (from my ...
21417
Ali Adams
alipoland
Apr 24, 2010 11:47 am
Thanks Walter for your help. What about this 309-digit number? ...
21418
maximilian_hasler
maximilian_h...
Apr 24, 2010 12:21 pm
It can't be prime because it's not pseudoprime. I suggest you install PARI/gp (done in less than a minute) and do such preliminary checks prior to posting in...
21419
Norman Luhn
nluhn
Apr 24, 2010 12:29 pm
The next prime number is your number+334 N=...626731 PRIMO takes 6,25s to create a certificate. Best Norman [Non-text portions of this message have been...
21420
Alan Eliasen
aeliasen
Apr 25, 2010 7:59 am
... (in another posting, asked) ... (Which is not even probable-prime, as one single strong pseudoprime test shows.) I'm about to sermonize, so be prepared, my...
21421
Jens Kruse Andersen
jkand71
Apr 25, 2010 1:15 pm
... The below is largely my own speculation not based on careful research. Your numbers apparently assume there are no hardware, software, operator or other...
21422
Alan Eliasen
aeliasen
Apr 25, 2010 10:01 pm
... I didn't mean to imply in any way that pseudoprime tests were magically free of the same kinds of hardware/software/ human error. Of course they're not,...
21423
jarek372000
Apr 26, 2010 3:23 am
I have just discovered another 27-digit prime 18-tuplet: Prime 18-tuplet 183837276562811649018077773 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48,...
21424
Ali Adams
alipoland
Apr 26, 2010 4:11 am
Thank  you for the reply Alan and advice taken well. Here in China I don't have access to the PRIMO website and the one I am using now is...
21426
Jens Kruse Andersen
jkand71
Apr 26, 2010 12:20 pm
... Congratulations! http://users.cybercity.dk/~dsl522332/math/simultprime.htm is updated. -- Jens Kruse Andersen...
21427
Jack
raptorjrf
Apr 26, 2010 1:33 pm
Alan, Thank you for your thoughtful and considerate reply to the original poster, and to the group in general. I often have questions that I'd like to post...
21428
Sren
srentospace
Apr 27, 2010 7:30 am
I got my old book "The prime spiral, Goldbach & Eratosthenes" replaced by a new nearly finished book "Primepatterns". It is under visualisations called...
21429
Liu
liufengsui
Apr 28, 2010 1:27 pm
Yes, Chris said ¡°n^2+1 is currently beyond our reach¡±. (21405) In 1978, H.Iwaniec proved that there are infinitely many natural numbers n such that n^2+1...
21430
leavemsg1
Apr 28, 2010 2:19 pm
I would like to ask someone to provide me with a few, say 4 or 5, 10-digit prime or carmichael numbers; I hope to have a test that will reveal that they are...
21431
Ali Adams
alipoland
Apr 29, 2010 11:44 am
Bill, Why not try this magical pair: 123571113171923 231917131175321 or the reunit of 23 ones: 11111111111111111111111 It points to the our 23 chromosome...
21432
Ali Adams
alipoland
Apr 30, 2010 12:24 pm
Alan you will be happy to see this article on the BBC, UK :) http://news.bbc.co.uk/2/hi/technology/8637845.stm Web security attack 'makes silicon chips more...
21433
djbroadhurst
May 1, 2010 2:13 am
... Jens, as per usual, put his finger on the core of this debate. In primality proving, we subject ourselves to two disciplines: 1) do not proclaim a proof if...
