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2020-12-19, 16:09
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#1 |
Jan 2007
Germany
5×97 Posts |
smallest n-digit prime k-tuplet
Hello,
I will try to supply here my smallest prime k-tuplet project. The mainthread is in german. https://matheplanet.de/matheplanet/n...232720&start=0 Latest entry: smallest 200-digit prime octuplet. Status: 19.12.2020 I try to keep actual...maybe it is interesting for you. |
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2020-12-21, 18:39
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#2 |
Dec 2008
you know...around...
2FB16 Posts |
Eine exzellente Zusammenstellung - Respekt vor der Arbeit, die dahintersteckt
Last fiddled with by mart_r on 2020-12-21 at 18:41 |
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2020-12-21, 21:41
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#3 |
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Jan 2007
Germany
5·97 Posts |
Oh ,vielen Dank fรผr das dicke Lob ! ๐ ( Thank you )
Last fiddled with by Cybertronic on 2020-12-21 at 21:53 |
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2020-12-28, 10:13
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#4 |
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Jan 2007
Germany
5×97 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 |
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2020-12-31, 17:38
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#5 |
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Jan 2007
Germany
5×97 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 2020-12-31 at 17:51 |
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2021-01-20, 10:38
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#6 |
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Jan 2007
Germany
5×97 Posts |
Update:
The 3 kinds of "Smallest 150-digit 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 2021-01-20 at 10:39 |
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2021-01-24, 06:41
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#7 |
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Jan 2007
Germany
5·97 Posts |
Update:
the smallest 35-digit prime 13-tuplets 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 |
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2021-01-25, 08:15
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#8 |
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Jan 2007
Germany
5×97 Posts |
Update:
smallest 35-digit prime 14-tuplet found. 10000000000001275924044876917671411+d,d=0,2,6,8,12,18,20,26,30,32,36,42,48,50 Actual the 3rd largest known 14-tuplet. computing time ~ 18h The 2nd kind 14-tuplet is in process... Last fiddled with by Cybertronic on 2021-01-25 at 08:15 |
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2021-01-25, 13:22
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#9 |
"Oliver"
Sep 2017
Porta Westfalica, DE
2×523 Posts |
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2021-01-25, 15:24
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#10 |
Jun 2003
19×283 Posts |
The given value looks like the end point.
The actual starting point is 10000000000001275924044876917671361 |
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2021-01-25, 17:32
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#11 | |
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Jan 2007
Germany
5·97 Posts |
Quote:
Oh yes axn, this is correct...my mistake  Thank you ! So, once more... 1st kind of smallest 35-digit prime 14-tuplet 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 2021-01-25 at 17:40 |
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