Hi, I am verifying the 6-selfridge "quadratic composite tests" detailed in my paper in the file section of this group. I made some changes and I am now testing...
Here is another prime 17-tuplet (and a new 17 Simultaneous Primes record): 772723255295737480928966771 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48,...
22681
James Merickel
merk7777777
Apr 4, 2011 7:13 pm
Sorry if I was a bit unclear. The title was supposed to indicate what the meaning of the post was. The ten numbers are concatenations of the first ten...
22682
Aldrich
aldrich617
Apr 4, 2011 11:44 pm
My aim with primemine2 (pm2) was to reach primes of 20 digits using the same basic principles of the first prime mine while maintaining a good primes found /...
22683
Aldrich
aldrich617
Apr 6, 2011 7:30 pm
Speculations concerning binary quadratic forms and issquare functions: The primemine programs that were posted at this PN website needed no reference to...
22684
James Merickel
merk7777777
Apr 7, 2011 2:42 am
Hello, fellow primenumbers group members. I have a couple of questions, one specific one on a certain class of numbers and one on software. The first...
22685
Maximilian Hasler
maximilian_h...
Apr 7, 2011 1:56 pm
ad Q2: Did you try ... You should get something equivalent to http://pari.math.u-bordeaux.fr/dochtml/html/Arithmetic_functions.html#ispseudoprime Maximilian...
22686
leavemsg1
Apr 9, 2011 7:08 pm
I have extended Proth's theorem. It can be found on my website... www.oddperfectnumbers.com under the Other Short Proofs heading. You will also find the proof...
22687
Dimiter Skordev
dskordev
Apr 11, 2011 7:58 am
Hi, I am afraid that your idea why odd-perfect numbers don't exist would not work due to the existence of odd abundant numbers. Best regards, Dimiter...
22688
Gary
garychaffey
Apr 11, 2011 10:26 am
Hi, just thought I would share this njew Bi twin record with the list:- 111800699636*3989#+1 111800699636*3989#-1 2*111800699636*3989#+1 2*111800699636*3989#-1...
22689
Aldrich
aldrich617
Apr 11, 2011 2:49 pm
... This is part of the information contained in the above reference: "If flag = 0, checks whether x is a Baillie-Pomerance-Selfridge-Wagstaff pseudo prime...
22690
Aldrich
aldrich617
Apr 11, 2011 2:54 pm
It is my contention that the principle of Primemine2 makes it a valid primality test for all 8499 batches of outputs produced. Since proof for this type of en...
22691
leavemsg1
Apr 11, 2011 8:43 pm
Dimiter, first of all, you haven't even visited my website... and second, the argument is so simple that it does NOT require that someone even consider the...
22692
Jack Brennen
jbrennen
Apr 12, 2011 12:08 am
Bill, please explain why solutions to: 2*P*Q^2 == (P+1)*sigma(Q^2), with P,Q odd relatively prime numbers > 1 exist, but why none exist when P is prime. ...
22693
Dimiter Skordev
dskordev
Apr 12, 2011 4:32 am
Of course I visited Bill's website, but I thought the author gives his explanations about the non-existence of odd perfect numbers in the target page of the...
22694
Phil
philiplouisb...
Apr 12, 2011 11:29 pm
I discussed the Baillie-Wagstaff primality checker at my blog <http://programmingpraxis.com/2010/01/26/primality-checking-revisited/> . Here's the latest...
22695
Aldrich
aldrich617
Apr 13, 2011 2:17 am
... Caveat! A power of a prime does not count as a counterexample; it is easily accounted for and is neither a psuedoprime nor programming error - merely a...
22696
Journals IJI / IJAI /...
eic_iji
Apr 13, 2011 5:30 am
International Journal of Applied Mathematics & StatisticsISSN: 0973-7545 (Online), ISSN 0973-1377 (Print)http://www.ceser.in/ijamas.html Free...
22697
Journals IJI / IJAI /...
eic_iji
Apr 13, 2011 5:39 am
International Journal of Applied Mathematics & StatisticsISSN: 0973-7545 (Online), ISSN 0973-1377 (Print)http://www.ceser.in/ijamas.html Free...
22698
leavemsg1
Apr 13, 2011 5:33 pm
I'm am sorry for accusing you of not visiting my website. I checked my Google Analytics program on the day of your "visit", and it reported that no visits came...
22699
Bill Krys
billkrys
Apr 13, 2011 11:31 pm
Y'all, Prime numbers may be created by: 1. start with a tube with circumference of 1 (unit) and mark a straight line that runs the length of the tube and is...
22700
whygee@...
yasep16
Apr 14, 2011 1:32 am
On Wed, 13 Apr 2011 16:31:10 -0700 (PDT), Bill Krys ... Hi ! ... <snip> that sounds like a version or cousin of ...
22701
Bill Krys
billkrys
Apr 14, 2011 12:55 pm
Yann, Â I don't believe you understand my generator. I don't think it directly relates to the Wheel Factorization process. I am not sure if mine is a sieve,...
22702
Jaroslaw Wroblewski
jarek372000
Apr 18, 2011 5:09 pm
Here is another prime 17-tuplet (and a new 17 Simultaneous Primes record): 783356226566404898275621751 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48,...
22703
djbroadhurst
Apr 23, 2011 10:57 am
... Tail-eating has now begun: # Written on Sat Apr 23 02:50:57 CDT 2011 4996 4658895*2^666666-1 200694.131372246 L81 06 #20060105075704.000000 4997...
22704
paulunderwooduk
Apr 23, 2011 11:10 am
... I just counted 1803 doubly beastly primes in the CC's database. Congrats to Daniel Heuer (L81), PrimeGrid and David, with his arithmetic progression, for...
22705
Aldrich
aldrich617
Apr 24, 2011 11:55 am
... Well, its certainly a lot more calculation than simply recording a '1' or '2' as each prime candidate in a long chain appears. PARI can check primality of...
22706
paulunderwooduk
Apr 29, 2011 7:23 pm
Hi, Pari/GP implements Baillie-PSW with a strong 2-SPRP test and a strong -- where the jacobi symbol is -1 -- test on x^2-P*x-1 with minimal P. In my paper...
22707
paulunderwooduk
Apr 30, 2011 1:20 pm
... I should have said the matrices are equivalent mod n. Another thing I have noticed for numbers +-2 (mod 5) is the following: [3,-1;0,1]^((n+1)/2) ==...