20201219, 16:09  #1 
Jan 2007
Germany
3·101 Posts 
smallest ndigit prime ktuplet
Hello,
I will try to supply here my smallest prime ktuplet project. The mainthread is in german. https://matheplanet.de/matheplanet/n...232720&start=0 Latest entry: smallest 200digit prime octuplet. Status: 19.12.2020 I try to keep actual...maybe it is interesting for you. 
20201221, 18:39  #2 
Dec 2008
you know...around...
2^{2}×163 Posts 
Eine exzellente Zusammenstellung  Respekt vor der Arbeit, die dahintersteckt
Last fiddled with by mart_r on 20201221 at 18:41 
20201221, 21:41  #3 
Jan 2007
Germany
457_{8} Posts 
Oh ,vielen Dank für das dicke Lob ! 😃 ( Thank you )
Last fiddled with by Cybertronic on 20201221 at 21:53 
20201228, 10:13  #4 
Jan 2007
Germany
3·101 Posts 
Update: smallest 200 digit prime octuplet found to pattern d=0,6,8,14,18,20,24,26
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000000000000004456720213751803153+d, d=0,6,8,14,18,20,24,26 
20201231, 17:38  #5 
Jan 2007
Germany
12F_{16} Posts 
Update: smallest 200 digit prime octuplet found to pattern d=0,2,6,12,14,20,24,26
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000000000000000589262946758538727+d, d=0,2,6,12,14,20,24,26 Last fiddled with by Cybertronic on 20201231 at 17:51 
20210120, 10:38  #6 
Jan 2007
Germany
3·101 Posts 
Update:
The 3 kinds of "Smallest 150digit prime octuplets" are: 10^149+177107310312127411+d,d=0,2,6, 8,12,18,20,26 10^149+883945334707753267+d,d=0,2,6,12,14,20,24,26 10^149+935628779313782743+d,d=0,6,8,14,18,20,24,26 Last fiddled with by Cybertronic on 20210120 at 10:39 
20210124, 06:41  #7 
Jan 2007
Germany
3·101 Posts 
Update:
the smallest 35digit prime 13tuplets to each pattern are: 10000000000000324000701496110723931+d,d=00,06,12,16,18,22,28,30,36,40,42,46,48 10000000000000015141548551355951851+d,d=00,02,06,08,12,18,20,26,30,32,36,42,48 10000000000000094989640220894283993+d,d=00,04,06,10,16,18,24,28,30,34,40,46,48 10000000000000325778825790175217703+d,d=00,04,06,10,16,18,24,28,30,34,36,46,48 10000000000000108412629077454977119+d,d=00,02,08,14,18,20,24,30,32,38,42,44,48 10000000000000054122451329461300669+d,d=00,02,12,14,18,20,24,30,32,38,42,44,48 
20210125, 08:15  #8 
Jan 2007
Germany
303_{10} Posts 
Update:
smallest 35digit prime 14tuplet found. 10000000000001275924044876917671411+d,d=0,2,6,8,12,18,20,26,30,32,36,42,48,50 Actual the 3rd largest known 14tuplet. computing time ~ 18h The 2nd kind 14tuplet is in process... Last fiddled with by Cybertronic on 20210125 at 08:15 
20210125, 13:22  #9 
"Oliver"
Sep 2017
Porta Westfalica, DE
3^{2}·5·11 Posts 

20210125, 15:24  #10 
Jun 2003
2^{2}×17×73 Posts 
The given value looks like the end point.
The actual starting point is 10000000000001275924044876917671361 
20210125, 17:32  #11  
Jan 2007
Germany
3×101 Posts 
Quote:
Oh yes axn, this is correct...my mistake Thank you ! So, once more... 1st kind of smallest 35digit prime 14tuplet starts with 10000000000001275924044876917671361+d,d=0,2,6,8,12,18,20,26,30,32,36,42,48,50 Last fiddled with by Cybertronic on 20210125 at 17:40 

Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Smallest k>1 such that Phi_n(k) is prime  sweety439  And now for something completely different  11  20210102 06:23 
Smallest k>1 such that Phi_n(k) is prime  sweety439  Puzzles  2  20200211 19:58 
Smallest prime with a digit sum of 911  Stargate38  Puzzles  6  20140929 14:18 
Anyone else expecting a new prime 19tuplet?  mart_r  Lounge  3  20090114 01:18 
Smallest tenmilliondigit prime  Heck  Factoring  9  20041028 11:34 