20220912, 12:40  #78 
Jun 2009
2^{2}×5^{2}×7 Posts 
Addition for your Octuplet table
5586218959960365309179*757#/1768767+1+d, d=0, 2, 6, 8, 12, 18, 20, 26
I have the primo certificates if like, but it is super fast to recreate them. 
20220912, 14:48  #79 
Jan 2007
Germany
3×11×17 Posts 
Updated
Last fiddled with by Cybertronic on 20220912 at 14:49 
20220930, 09:31  #80 
Jun 2009
1010111100_{2} Posts 
more octuplets
4869586684665128135306*757#/1768767+1+d, d=0, 2, 6, 8, 12, 18, 20, 26
530956818040688210255681*757#/1768767+1+d, d=0, 2, 6, 8, 12, 18, 20, 26 531258360785860208657753*757#/1768767+1+d, d=0, 2, 6, 8, 12, 18, 20, 26 Again, I will gladly provide PRIMO certificates but they are so fast to recreate... 
20220930, 11:10  #81 
Jan 2007
Germany
3×11×17 Posts 
Congratulations ...
Peter, for a new prime octuplet world record !
...and few top10 septuplets. All primes true by Primo. Pages was updated: https://pzktupel.de/ktuplets.php Norman 
20221024, 18:47  #82 
Jan 2007
Germany
3·11·17 Posts 
Riecoin
All prime octuplets, found by Riecoin are separated here: (click blue line)
https://pzktupel.de/ktuplets.php#largest8 
20221104, 10:47  #83 
Jan 2007
Germany
3×11×17 Posts 
prime ktuplet page got a new update
From now, "Record Gap Tables of prime ktuplets", k= 1..15 are available, incl. merits.
Link: https://pzktupel.de/Rectables.php Hope, it is correct. greetings 
20221127, 13:12  #84 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
2^{6}×3×19 Posts 
I have an idea for a sequence for prime ktuples, see https://pzktupel.de/smarchive.php, this sequence seems not to be in OEIS
Smallest k such that there exists all kinds of prime ntuples <= k a(1) = 2, the smallest prime is 2 a(2) = 5, the smallest twin prime pair is {3,5} a(3) = 13, the smallest prime 3tuple for d = {0,2,6} is {5,7,11}, and the smallest prime 3tuple for d = {0,4,6} is {7,11,13} a(4) = 13, the smallest prime quadruple (d = {0,2,6,8}) is {5,7,11,13} a(5) = 19, the smallest prime 5tuple for d = {0,2,6,8,12} is {5,7,11,13,17}, and the smallest prime 5tuple for d = {0,4,6,10,12} is {7,11,13,17,19} a(6) = 23, the smallest prime 6tuple (d = {0,4,6,10,12,16}) is {7,11,13,17,19,23} a(7) = 5659, the smallest prime 7tuple for d = {0,2,6,8,12,18,20} is {11,13,17,19,23,29,31}, and the smallest prime 7tuple for d = {0,2,8,12,14,18,20} is {5639,5641,5647,5651,5653,5657,5659} a(8) = 88819, the smallest prime 8tuple for d = {0,2,6,8,12,18,20,26} is {11,13,17,19,23,29,31,37}, and the smallest prime 8tuple for d = {0,6,8,14,18,20,24,26} is {88793,88799,88801,88807,88811,88813,88817,88819}, and the smallest prime 8tuple for d = {0,2,6,12,14,20,24,26} is {17,19,23,29,31,37,41,43} @Cybertronic, your page has error, for the 8tuple, "d = 0, 2, 8, 12, 14, 18, 20, 26" should be "d = 0, 2, 6, 8, 12, 18, 20, 26" 
20221127, 13:26  #85 
Jan 2007
Germany
3×11×17 Posts 
Thank you sweety439, is corrected.

Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
smallest ndigit prime ktuplet  Cybertronic  And now for something completely different  80  20221109 15:06 
Web page tweaks  Prime95  PrimeNet  4  20191027 06:30 
Prime curio publishe on Chris Caldwell page  enzocreti  enzocreti  2  20190406 21:37 
CPU page request  sixblueboxes  PrimeNet  3  20140411 14:23 
Anyone else expecting a new prime 19tuplet?  mart_r  Lounge  3  20090114 01:18 