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smallest n-digit prime k-tuple - for several k - results on page 1
hyperG Senior Beitrag No.363, eingetragen 2019-01-19
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Slash Aktiv Beitrag No.364, eingetragen 2019-01-19
Bound to be disappointing so why wait?
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Primentus Senior Beitrag No.365, eingetragen 2019-01-19
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pzktupel Aktiv Beitrag No.366, vom Themenstarter, eingetragen 2019-01-19
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pzktupel Aktiv Beitrag No.367, vom Themenstarter, eingetragen 2019-01-25
copy 1000000000000000000000000000000000000000~
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000000000000000000000_________?_________+d,d=0,2,6,8,12,18,20
Dabei wird das Offset wahrscheinlich 18/19 Stellen erreichen.Pech in der Liebe , Glück im Verlieren !!!
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hyperG Senior Beitrag No.368, eingetragen 2019-01-26
hier
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pzktupel Aktiv Beitrag No.369, vom Themenstarter, eingetragen 2019-02-19
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hyperG Senior Beitrag No.370, eingetragen 2019-02-19
aprecords
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pzktupel Aktiv Beitrag No.371, vom Themenstarter, eingetragen 2019-02-20
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pzktupel Aktiv Beitrag No.372, vom Themenstarter, eingetragen 2019-02-20
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pzktupel Aktiv Beitrag No.374, vom Themenstarter, eingetragen 2019-03-22
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pzktupel Aktiv Beitrag No.376, vom Themenstarter, eingetragen 2019-04-15
copy 10000000000000000000000000000000000000000000000000000000000000000000000000000000~
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00000000000000000000000000000000000000000000000000000000000002219844666811981651+d,d=0,2,6,8,12,18,20
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pzktupel Aktiv Beitrag No.377, vom Themenstarter, eingetragen 2019-05-08
copy 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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000000000000000000000000000000000000000000000000000000000000000000000000000000000003818999670116007+d,d=0,4,6,10,12
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pzktupel Aktiv Beitrag No.378, vom Themenstarter, eingetragen 2019-06-09
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pzktupel Aktiv Beitrag No.379, vom Themenstarter, eingetragen 2019-09-25
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pzktupel Aktiv Beitrag No.381, vom Themenstarter, eingetragen 2020-01-26
copy 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000~
00000000000000000000000000000000000000000000000000000000008443285727340631 +d,d=0,2,6,8,12,18,20,26 sind 8 Primzahlen
copy 10000000000000000000000000000000000000000000000000
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00000000000000000000000000000000073899530218782871 +d,d=0,2,6,8,12,18,20 sind 7 Primzahlen
copy 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000~
000000000000000000000000000000000000000000000000000000000000037713446583118753 +d,d=0,6,8,14,18,20,24,26 sind 8 Primzahlen
__________________________________________copy 10000000000000000000000000000000000000000000000000
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00000000000000000000000000000000054922679011184419+d,d=0,2,8,12,14,18,20 are 7 primes
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pzktupel Aktiv Beitrag No.385, vom Themenstarter, eingetragen 2020-04-24
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pzktupel Aktiv Beitrag No.377, vom Themenstarter, eingetragen 2020-05-04
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pzktupel Aktiv Beitrag No.378, vom Themenstarter, eingetragen 2020-05-06
copy 1000000000000000000000000000000000000000000000000000000000000000000000000000000707220670972957883551 is prime !
1000000000000000000000000000000000000000000000000000000000000000000000000000000707220670972957883553 is prime !
1000000000000000000000000000000000000000000000000000000000000000000000000000000707220670972957883557 is prime !
1000000000000000000000000000000000000000000000000000000000000000000000000000000707220670972957883559 is prime !
1000000000000000000000000000000000000000000000000000000000000000000000000000000707220670972957883563 is prime !
1000000000000000000000000000000000000000000000000000000000000000000000000000000707220670972957883569 is prime !
1000000000000000000000000000000000000000000000000000000000000000000000000000000707220670972957883571 is prime !
1000000000000000000000000000000000000000000000000000000000000000000000000000000707220670972957883577 is prime !
1000000000000000000000000000000000000000000000000000000000000000000000000000000707220670972957883581 is prime !
1000000000000000000000000000000000000000000000000000000000000000000000000000000707220670972957883583 is prime !
is the smallest 100 digit prime 10 tuplet.
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hyperG Senior Beitrag No.379, eingetragen 2020-05-06
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pzktupel Aktiv Beitrag No.380, vom Themenstarter, eingetragen 2020-05-06
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pzktupel Aktiv Beitrag No.381, vom Themenstarter, eingetragen 2020-05-19
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pzktupel Aktiv Beitrag No.382, vom Themenstarter, eingetragen 2020-05-19
copy 1000000000000000000000000000000000000000000000000000000000000000000000000000000084878086452295590307 is prime !
1000000000000000000000000000000000000000000000000000000000000000000000000000000084878086452295590309 is prime !
1000000000000000000000000000000000000000000000000000000000000000000000000000000084878086452295590313 is prime !
1000000000000000000000000000000000000000000000000000000000000000000000000000000084878086452295590319 is prime !
1000000000000000000000000000000000000000000000000000000000000000000000000000000084878086452295590321 is prime !
1000000000000000000000000000000000000000000000000000000000000000000000000000000084878086452295590327 is prime !
1000000000000000000000000000000000000000000000000000000000000000000000000000000084878086452295590331 is prime !
1000000000000000000000000000000000000000000000000000000000000000000000000000000084878086452295590333 is prime !
1000000000000000000000000000000000000000000000000000000000000000000000000000000084878086452295590337 is prime !
1000000000000000000000000000000000000000000000000000000000000000000000000000000084878086452295590339 is prime !
is the absolutely smallest 100 digit prime 10 tuplet.
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pzktupel Aktiv Beitrag No.383, vom Themenstarter, eingetragen 2020-06-11
copy // both kinds of smallest 500-digit prime quintuplet are known //
10^499+58195471283341+d,d=0,2,6,8,12 - proven primes by PRIMO 3.09
10^499+69672492141807+d,d=0,4,6,10,12 - proven primes by PRIMO 3.09
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pzktupel Aktiv Beitrag No.384, vom Themenstarter, eingetragen 2020-06-12
copy // both kinds of smallest 600-digit prime quintuplet are known //
10^599+319491304676641+d,d=0,2,6,8,12 , proven primes by PRIMO 3.09
10^599+12754947401547+d,d=0,4,6,10,12 , proven primes by PRIMO 3.09
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pzktupel Aktiv Beitrag No.385, vom Themenstarter, eingetragen 2020-06-13
copy // both kinds of smallest 700-digit prime quintuplet are known //
10^699+2254633393747621+d,d=0,2,6,8,12 , proven primes by PRIMO 3.09
10^699+209264286017367+d,d=0,4,6,10,12 , proven primes by PRIMO 3.09
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pzktupel Aktiv Beitrag No.386, vom Themenstarter, eingetragen 2020-06-22
copy // both kinds of smallest 800-digit prime quintuplet are known //
10^799+2117758391972791+d,d=0,2,6,8,12 , proven primes by PRIMO 3.09
10^799+1299258655252617+d,d=0,4,6,10,12 , proven primes by PRIMO 3.09
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pzktupel Aktiv Beitrag No.387, vom Themenstarter, eingetragen 2020-07-01
copy // both kinds of smallest 900-digit prime quintuplet are known //
10^899+2365663735968811+d, d=0,2,6,8,12 ; proven primes by PRIMO 3.09
10^899+1484244113736867+d,d=0,4,6,10,12 ; proven primes by PRIMO 3.09
copy Im Zuge des x100-digit Projektes, werden nebenher die kleinsten Prime-Triplets dazu ermittelt:
* smallest x100-digit prime triplets from 1100 up to 2000 digits *
10^1099+9688002421+d, d=0,2,6 ; 10^1099+6656645493+d, d=0,4,6
10^1199+4004123317+d, d=0,2,6 ; 10^1199+13010732343+d,d=0,4,6
10^1299+10975301047+d,d=0,2,6 ; 10^1299+22101529023+d,d=0,4,6
10^1399+22502870977+d,d=0,2,6 ; 10^1399+46234904577+d,d=0,4,6
10^1499+3251852371+d, d=0,2,6 ; 10^1499+14264584383+d,d=0,4,6
10^1599+15604273447+d,d=0,2,6 ; 10^1599+17352556737+d,d=0,4,6
10^1699+77697495757+d,d=0,2,6 ; 10^1699+61779337833+d,d=0,4,6
10^1799+2426988187+d, d=0,2,6 ; 10^1799+54242463087+d,d=0,4,6
10^1899+27851595391+d,d=0,2,6 ; 10^1899+51739370637+d,d=0,4,6
10^1999+27107552191+d,d=0,2,6 ; 10^1999+38866053453+d,d=0,4,6
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pzktupel Aktiv Beitrag No.388, vom Themenstarter, eingetragen 2020-07-13 06:32
copy The smallest 1400 digit prime quadruplet is:
10^1399+69670344083131+d,d=0,2,6,8 ; proven primes by PRIMO 3.09
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pzktupel Aktiv Beitrag No.389, vom Themenstarter, eingetragen 2020-07-19 07:06
copy The smallest 1600 digit prime quadruplet is:
10^1599+35547764907541+d,d=0,2,6,8 ; proven primes by PRIMO 3.09
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pzktupel Aktiv Beitrag No.390, vom Themenstarter, eingetragen 2020-07-24 18:14
copy The smallest 1700 digit prime quadruplet is:
10^1699+91659238633591+d,d=0,2,6,8 ; proven primes by PRIMO 3.09
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pzktupel Aktiv Beitrag No.391, vom Themenstarter, eingetragen 2020-07-31 15:30
copy The Hardy-Littlewood constants
k b H_k C_k G_k = C_k*H_k
2 0 2 2 2 0.66016182 1.3203236
3 0 2 6 4.5 9/2 0.63516635 2.8582486
3 0 4 6 4.5 9/2 0.63516635 2.8582486
4 0 2 6 8 13.5 27/2 0.30749488 4.1511809
5 0 2 6 8 12 24.71 15^4 / 2^11 0.40987489 10.131795
5 0 4 6 10 12 24.71 15^4 / 2^11 0.40987489 10.131795
6 0 4 6 10 12 16 92.70 15^5 / 2^13 0.18661430 17.298612
7 0 2 6 8 12 18 20 146.09 35^6 / (3*2^22) 0.36943751 53.971948
7 0 2 8 12 14 18 20 146.09 35^6 / (3*2^22) 0.36943751 53.971948
8 0 2 6 12 14 20 24 26 2045.29 5^6*7^7 / (3*2^21) 0.23241933 475.36521
8 0 2 6 8 12 18 20 26 766.98 5^6*7^7 / 2^24 0.23241933 178.26195
8 0 6 8 14 18 20 24 26 766.98 5^6*7^7 / 2^24 0.23241933 178.26195
9 0 2 6 8 12 18 20 26 30 5243.06 5^9*7^8 / 2^31 0.12017121 630.06436
9 0 4 10 12 18 22 24 28 30 5243.06 5^9*7^8 / 2^31 0.12017121 630.06436
9 0 2 6 12 14 20 24 26 30 10486.11 5^9*7^8 / 2^30 0.12017121 1260.1287
9 0 4 6 10 16 18 24 28 30 10486.11 5^9*7^8 / 2^30 0.12017121 1260.1287
10 0 2 6 8 12 18 20 26 30 32 40779.32 5^10*7^9 / (9*2^30) 0.041804051 1704.7409
10 0 2 6 12 14 20 24 26 30 32 40779.32 5^10*7^9 / (9*2^30) 0.041804051 1704.7409
11 0 2 6 8 12 18 20 26 30 32 36 32392.39 7^11*11^10 / (45*2^45) 0.094530829 3062.0793
11 0 4 6 10 16 18 24 28 30 34 36 32392.39 7^11*11^10 / (45*2^45) 0.094530829 3062.0793
12 0 2 6 8 12 18 20 26 30 32 36 42 280599.07 7^12*11^11 / (25*2^49) 0.035393260 9931.3156
12 0 6 10 12 16 22 24 30 34 36 40 42 280599.07 7^12*11^11 / (25*2^49) 0.035393260 9931.3156
13 0 2 6 8 12 18 20 26 30 32 36 42 48 231039.18 11*1001^12 / (25*2^80*3^13) 0.11170391 25807.980
13 0 6 12 16 18 22 28 30 36 40 42 46 48 231039.18 11*1001^12 / (25*2^80*3^13) 0.11170391 25807.980
13 0 2 8 14 18 20 24 30 32 38 42 44 48 269545.71 77*1001^12 / (25*2^81*3^14) 0.11170391 30109.310
13 0 4 6 10 16 18 24 28 30 34 40 46 48 269545.71 77*1001^12 / (25*2^81*3^14) 0.11170391 30109.310
13 0 2 12 14 18 20 24 30 32 38 42 44 48 224621.43 77*1001^12 / (2^82*3^15*5) 0.11170391 25091.092
13 0 4 6 10 16 18 24 28 30 34 36 46 48 224621.43 77*1001^12 / (2^82*3^15*5) 0.11170391 25091.092
14 0 2 6 8 12 18 20 26 30 32 36 42 48 50 811132.94 1001^13 / (2^83*3^17) 0.062844634 50975.353
14 0 2 8 14 18 20 24 30 32 38 42 44 48 50 811132.94 1001^13 / (2^83*3^17) 0.062844634 50975.353
15 0 2 6 8 12 18 20 26 30 32 36 42 48 50 56 6422604 1001^14 / (2^94*3^13*5) 0.029244162 187823.69
15 0 6 8 14 20 24 26 30 36 38 44 48 50 54 56 6422604 1001^14 / (2^94*3^13*5) 0.029244162 187823.69
15 0 2 6 12 14 20 24 26 30 36 42 44 50 54 56 22835927 1001^14 / (2^89*3^15*5) 0.029244162 667817.55
15 0 2 6 12 14 20 26 30 32 36 42 44 50 54 56 22835927 1001^14 / (2^89*3^15*5) 0.029244162 667817.55
16 0 2 6 12 14 20 26 30 32 36 42 44 50 54 56 60 81405851 77^15*13^14 / (2^91*3^18) 0.0092281012 751221.43
16 0 4 6 10 16 18 24 28 30 34 40 46 48 54 58 60 81405851 77^15*13^14 / (2^91*3^18) 0.0092281012 751221.43
17 0 4 10 12 16 22 24 30 36 40 42 46 52 54 60 64 66 106599740 5*7^16*11^16*13^16*17^16 / (2^172*3^18) 0.030074517 3205936
17 0 2 6 12 14 20 24 26 30 36 42 44 50 54 56 62 66 106599740 5*7^16*11^16*13^16*17^16 / (2^172*3^18) 0.030074517 3205936
17 0 4 6 10 16 18 24 28 30 34 40 46 48 54 58 60 66 86612289 5*7^16*11^16*13^17*17^16 / (2^176*3^18) 0.030074517 2604823
17 0 6 8 12 18 20 26 32 36 38 42 48 50 56 60 62 66 86612289 5*7^16*11^16*13^17*17^16 / (2^176*3^18) 0.030074517 2604823
18 0 4 10 12 16 22 24 30 36 40 42 46 52 54 60 64 66 70 621583086 7^19*11^16*13^16*17^17 / (2^175*3^18*5^2) 0.010816984 6723654
18 0 4 6 10 16 18 24 28 30 34 40 46 48 54 58 60 66 70 621583086 7^19*11^16*13^16*17^17 / (2^175*3^18*5^2) 0.010816984 6723654
19 0 6 10 16 18 22 28 30 36 42 46 48 52 58 60 66 70 72 76 350105007 7^19*11^18*13^19*17^18*19^18 / (2^211*3^58*5^2) 0.049410463 17298851
19 0 4 6 10 16 18 24 28 30 34 40 46 48 54 58 60 66 70 76 350105007 7^19*11^18*13^19*17^18*19^18 / (2^211*3^58*5^2) 0.049410463 17298851
19 0 4 6 10 16 22 24 30 34 36 42 46 52 60 64 66 70 72 76 1184970792 7^19*11^19*13^18*17^18*19^18 / (2^209*3^58*5^2) 0.049410463 58549956
19 0 4 6 10 12 16 24 30 34 40 42 46 52 54 60 66 70 72 76 1184970792 7^19*11^19*13^18*17^18*19^18 / (2^209*3^58*5^2) 0.049410463 58549956
20 0 2 6 8 12 20 26 30 36 38 42 48 50 56 62 66 68 72 78 80 5504833930 7^19*11^19*13^20*17^18*19^19 / (2^216*3^61*5) 0.028555501 157193291
20 0 2 8 12 14 18 24 30 32 38 42 44 50 54 60 68 72 74 78 80 5504833930 7^19*11^19*13^20*17^18*19^19 / (2^216*3^61*5) 0.028555501 157193291
21 0 4 6 10 12 16 24 30 34 40 42 46 52 54 60 66 70 72 76 82 84 52827910614 7^21*11^20*13^20*17^21*19^20 / (2^236*3^61*5^2) 0.014145746 747290230
21 0 2 8 12 14 18 24 30 32 38 42 44 50 54 60 68 72 74 78 80 84 52827910614 7^21*11^20*13^20*17^21*19^20 / (2^236*3^61*5^2) 0.014145746 747290230
22 0 4 6 10 12 16 24 30 34 40 42 46 52 54 60 66 70 72 76 82 84 90 302097869890 7^19*11^23*13^21*17^22*19^20 / (2^238*3^69) 0.0050363393 1521467385
22 0 6 8 14 18 20 24 30 36 38 44 48 50 56 60 66 74 78 80 84 86 90 302097869890 7^19*11^23*13^21*17^22*19^20 / (2^238*3^69) 0.0050363393 1521467385
22 0 4 10 12 18 22 24 28 34 40 42 48 52 54 60 64 70 78 82 84 88 90 181258721934 7^19*11^23*13^21*17^22*19^20 / (2^238*3^68*5) 0.0050363393 912880431
22 0 2 6 8 12 20 26 30 36 38 42 48 50 56 62 66 68 72 78 80 86 90 181258721934 7^19*11^23*13^21*17^22*19^20 / (2^238*3^68*5) 0.0050363393 912880431
23 0 4 6 10 12 16 24 30 34 40 42 46 52 54 60 66 70 72 76 82 84 90 94 150979052373 5^2*7^22*13^22*17^22*19^22*23^22 / (2^276*3^72*11) 0.028189528 4256028249
23 0 4 10 12 18 22 24 28 34 40 42 48 52 54 60 64 70 78 82 84 88 90 94 150979052373 5^2*7^22*13^22*17^22*19^22*23^22 / (2^276*3^72*11) 0.028189528 4256028249
24 0 4 6 10 12 16 24 30 34 40 42 46 52 60 66 70 72 76 82 84 90 94 96 100 941260029638 5^2*7^23*13^22*17^22*19^23*23^22 / (2^282*3^71*11) 0.017114509 16109203327
24 0 4 6 10 16 18 24 28 30 34 40 48 54 58 60 66 70 76 84 88 90 94 96 100 941260029638 5^2*7^23*13^22*17^22*19^23*23^22 / (2^282*3^71*11) 0.017114509 16109203327
24 0 4 6 10 16 18 24 28 30 34 40 46 48 54 58 60 66 70 76 84 88 94 96 100 1411890044457 5^2*7^23*13^22*17^22*19^23*23^22 / (2^283*3^70*11) 0.017114509 24163804990
24 0 4 6 12 16 24 30 34 40 42 46 52 54 60 66 70 72 76 82 84 90 94 96 100 1411890044457 5^2*7^23*13^22*17^22*19^23*23^22 / (2^283*3^70*11) 0.017114509 24163804990
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pzktupel Aktiv Beitrag No.392, vom Themenstarter, eingetragen 2020-08-02 16:28
copy The smallest 1800 digit prime quadruplet is:
10^1799+63854821848361+d,d=0,2,6,8 ; proven primes by PRIMO 3.09
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pzktupel Aktiv Beitrag No.393, vom Themenstarter, eingetragen 2020-08-06 22:43
copy The smallest 1900 digit prime quadruplet is:
10^1899+4297896231241+d,d=0,2,6,8 ; proven primes by PRIMO 3.09
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pzktupel Aktiv Beitrag No.394, vom Themenstarter, eingetragen 2020-08-07 16:44
copy smallest 500-digit prime sextuplet
10^499+X+d, d=0,4,6,10,12,16
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Primes in arithmetic progression - news & records