smallest n-digit prime k-tuplet - Page 3

Cybertronic · 2021-03-08, 05:39

3rd smallest 40-digit prime 13-tuplet is found.
1000000000000000002334523699629280598673+d,d=00,04,06,10,16,18,24,28,30,34,36,46,48

Cybertronic · 2021-03-09, 06:58

The 4th & 5th smallest 40-digit prime 13-tuplet build a prime 14-tuplet
1000000000000000000349508508460276218889+d,d=00,02,08,14,18,20,24,30,32,38,42,44,48 1000000000000000000349508508460276218891+d,d=00,06,12,16,18,22,28,30,36,40,42,46,48 (maybe the smallest)

smallest 40-digit prime 14-tuplet
1000000000000000000349508508460276218889+d,d=00,02,08,14,18,20,24,30,32,38,42,44,48,50

Cybertronic · 2021-03-10, 12:48

Searching for "smallest 40-digit prime 13-tuplet" and each pattern is done.

1000000000000000000282197071067938130221+d,d=00,02,06,08,12,18,20,26,30,32,36,42,48 1000000000000000002713562652524314606953+d,d=00,04,06,10,16,18,24,28,30,34,40,46,48 1000000000000000002334523699629280598673+d,d=00,04,06,10,16,18,24,28,30,34,36,46,48 1000000000000000000349508508460276218889+d,d=00,02,08,14,18,20,24,30,32,38,42,44,48 1000000000000000000349508508460276218891+d,d=00,06,12,16,18,22,28,30,36,40,42,46,48 1000000000000000000368816080526066037739+d,d=00,02,12,14,18,20,24,30,32,38,42,44,48

best

Cybertronic · 2021-03-11, 06:00

10^84+47554446619947157+d,d=00,02,06,12,14,20,24,26,30
10^84+160519720598458173+d,d=00,04,06,10,16,18,24,28,30
10^84+185810018704672351+d,d=00,02,06,08,12,18,20,26,30
10^84+350046617288377989+d,d=00,04,10,12,18,22,24,28,30

mart_r · 2021-03-11, 17:58

Quote:

Originally Posted by Cybertronic

The 4th & 5th smallest 40-digit prime 13-tuplet build a prime 14-tuplet
1000000000000000000349508508460276218889+d,d=00,02,08,14,18,20,24,30,32,38,42,44,48 1000000000000000000349508508460276218891+d,d=00,06,12,16,18,22,28,30,36,40,42,46,48 (maybe the smallest)

smallest 40-digit prime 14-tuplet
1000000000000000000349508508460276218889+d,d=00,02,08,14,18,20,24,30,32,38,42,44,48,50

Wow.

And those new 13-tuplets will knock my two precious 13-tuplets off the top-10-list

Aber Ehre wem Ehre gebührt

Cybertronic · 2021-03-11, 19:14

Quote:

Originally Posted by mart_r

Wow.

And those new 13-tuplets will knock my two precious 13-tuplets off the top-10-list

Aber Ehre wem Ehre gebührt

Thanks !

Ach Du bist das , schön !
Naja, Ich stelle keine Weltrekorde mehr auf, habe mich auf die kleinsten Typen spezialisiert. Sind aber weit aus schwieriger zu ermitteln.

Cybertronic · 2021-03-13, 13:33

10^89+791904550511743597+d,d=00,02,06,12,14,20,24,26,30
10^89+172909940212389213+d,d=00,04,06,10,16,18,24,28,30
10^89+1343213766375577081+d,d=00,02,06,08,12,18,20,26,30
10^89+620790505134478479+d,d=00,04,10,12,18,22,24,28,30

next: set of smallest 95-digit prime 9-tuplets

Cybertronic · 2021-03-20, 05:27

10^94+2932158115245924697+d,d=00,02,06,12,14,20,24,26,30
10^94+ 893789089611339483+d,d=00,04,06,10,16,18,24,28,30
10^94+2355831229384158421+d,d=00,02,06,08,12,18,20,26,30
10^94+2684877596386494219+d,d=00,04,10,12,18,22,24,28,30

next: set of smallest Googol prime 9-tuplets (100 digits are known)

Cybertronic · 2021-03-20, 18:39

The 1st smallest googol prime 9-tuplet is found , but there was a second after few minutes later

The difference is only 0,6% of average for this size.

10^100+715673142884481067+d,d=00,02,06,12,14,20,24,26,30
10^100+725110101830325577+d,d=00,02,06,12,14,20,24,26,30

Cybertronic · 2021-03-21, 08:45

During the searching for the "smallest googol prime 9-tuplet"-set, I got another lucky strike !

10^100+426534752174683621+d,d=0,2,6,8,12,18,20,26,30,32
is absolutely the smallest googol prime 10-tuplet.

The other kind is larger and unknown yet.

Cybertronic · 2021-03-22, 05:11

10^100+ 715673142884481067+d,d=00,02,06,12,14,20,24,26,30
10^100+ 176872574833767633+d,d=00,04,06,10,16,18,24,28,30
10^100+ 426534752174683621+d,d=00,02,06,08,12,18,20,26,30
10^100+1165893539316503169+d,d=00,04,10,12,18,22,24,28,30

2021-03-08, 05:39	#23
Cybertronic Jan 2007 Germany 2³×41 Posts	3rd smallest 40-digit prime 13-tuplet is found. 1000000000000000002334523699629280598673+d,d=00,04,06,10,16,18,24,28,30,34,36,46,48 Last fiddled with by Cybertronic on 2021-03-08 at 05:40

2021-03-09, 06:58	#24
Cybertronic Jan 2007 Germany 101001000₂ Posts	The 4th & 5th smallest 40-digit prime 13-tuplet build a prime 14-tuplet 1000000000000000000349508508460276218889+d,d=00,02,08,14,18,20,24,30,32,38,42,44,48 1000000000000000000349508508460276218891+d,d=00,06,12,16,18,22,28,30,36,40,42,46,48 (maybe the smallest) smallest 40-digit prime 14-tuplet 1000000000000000000349508508460276218889+d,d=00,02,08,14,18,20,24,30,32,38,42,44,48,50 Last fiddled with by Cybertronic on 2021-03-09 at 07:10

2021-03-10, 12:48	#25
Cybertronic Jan 2007 Germany 2³×41 Posts	40-digit prime 13-tuplet - complete set Searching for "smallest 40-digit prime 13-tuplet" and each pattern is done. 1000000000000000000282197071067938130221+d,d=00,02,06,08,12,18,20,26,30,32,36,42,48 1000000000000000002713562652524314606953+d,d=00,04,06,10,16,18,24,28,30,34,40,46,48 1000000000000000002334523699629280598673+d,d=00,04,06,10,16,18,24,28,30,34,36,46,48 1000000000000000000349508508460276218889+d,d=00,02,08,14,18,20,24,30,32,38,42,44,48 1000000000000000000349508508460276218891+d,d=00,06,12,16,18,22,28,30,36,40,42,46,48 1000000000000000000368816080526066037739+d,d=00,02,12,14,18,20,24,30,32,38,42,44,48 best

2021-03-11, 06:00	#26
Cybertronic Jan 2007 Germany 2³·41 Posts	complete set of smallest 85-digit prime 9-tuplets 10^84+47554446619947157+d,d=00,02,06,12,14,20,24,26,30 10^84+160519720598458173+d,d=00,04,06,10,16,18,24,28,30 10^84+185810018704672351+d,d=00,02,06,08,12,18,20,26,30 10^84+350046617288377989+d,d=00,04,10,12,18,22,24,28,30 Last fiddled with by Cybertronic on 2021-03-11 at 06:01

2021-03-13, 13:33	#29
Cybertronic Jan 2007 Germany 2³×41 Posts	complete set of smallest 90-digit prime 9-tuplets 10^89+791904550511743597+d,d=00,02,06,12,14,20,24,26,30 10^89+172909940212389213+d,d=00,04,06,10,16,18,24,28,30 10^89+1343213766375577081+d,d=00,02,06,08,12,18,20,26,30 10^89+620790505134478479+d,d=00,04,10,12,18,22,24,28,30 next: set of smallest 95-digit prime 9-tuplets Last fiddled with by Cybertronic on 2021-03-13 at 13:33

2021-03-20, 05:27	#30
Cybertronic Jan 2007 Germany 148₁₆ Posts	complete set of smallest 95-digit prime 9-tuplets 10^94+2932158115245924697+d,d=00,02,06,12,14,20,24,26,30 10^94+ 893789089611339483+d,d=00,04,06,10,16,18,24,28,30 10^94+2355831229384158421+d,d=00,02,06,08,12,18,20,26,30 10^94+2684877596386494219+d,d=00,04,10,12,18,22,24,28,30 next: set of smallest Googol prime 9-tuplets (100 digits are known) Last fiddled with by Cybertronic on 2021-03-20 at 06:06

2021-03-20, 18:39	#31
Cybertronic Jan 2007 Germany 510₈ Posts	two googol prime 9-tuplets with a tiny difference The 1st smallest googol prime 9-tuplet is found , but there was a second after few minutes later The difference is only 0,6% of average for this size. 10^100+715673142884481067+d,d=00,02,06,12,14,20,24,26,30 10^100+725110101830325577+d,d=00,02,06,12,14,20,24,26,30 Last fiddled with by Cybertronic on 2021-03-20 at 19:33

2021-03-21, 08:45	#32
Cybertronic Jan 2007 Germany 2³·41 Posts	smallest googol prime 10-tuplet is known ! During the searching for the "smallest googol prime 9-tuplet"-set, I got another lucky strike ! 10^100+426534752174683621+d,d=0,2,6,8,12,18,20,26,30,32 is absolutely the smallest googol prime 10-tuplet. The other kind is larger and unknown yet. Last fiddled with by Cybertronic on 2021-03-21 at 08:46

2021-03-22, 05:11	#33
Cybertronic Jan 2007 Germany 2³×41 Posts	complete set of smallest googol prime 9-tuplets 10^100+ 715673142884481067+d,d=00,02,06,12,14,20,24,26,30 10^100+ 176872574833767633+d,d=00,04,06,10,16,18,24,28,30 10^100+ 426534752174683621+d,d=00,02,06,08,12,18,20,26,30 10^100+1165893539316503169+d,d=00,04,10,12,18,22,24,28,30

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