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k	Smallest 100 bit prime k-tuplets	Who ?	When ?
1	299 + 255	Martin Raab	02 Jul 2023
2	299 + 4203 + d, d = 0, 2	Martin Raab	02 Jul 2023
3	299 + 31743 + d, d = 0, 2, 6 299 + 123719 + d, d = 0, 4, 6	Martin Raab	02 Jul 2023
4	299 + 1099863 + d, d = 0, 2, 6, 8	Martin Raab	02 Jul 2023
5	299 + 55568403 + d, d = 0, 2, 6, 8, 12 299 + 23459609 + d, d = 0, 4, 6, 10, 12	Martin Raab	02 Jul 2023
6	299 + 893458739 + d, d = 0, 4, 6, 10, 12, 16	Martin Raab	02 Jul 2023
7	299 + 1561260333 + d, d = 0, 2, 6, 8, 12, 18, 20 299 + 63051306951 + d, d = 0, 2, 8, 12, 14, 18, 20	Martin Raab	02 Jul 2023
8	299 + 2957324244369 + d, d = 0, 2, 6, 12, 14, 20, 24, 26 299 + 2338119723825 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 299 + 824103827613 + d, d = 0, 2, 6, 8, 12, 18, 20, 26	Martin Raab	02 Jul 2023
9	299 + 34232191068603 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 299 + 12133400153855 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30 299 + 8343111370869 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30 299 + 18358239868661 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30	Norman Luhn	12 Jul 2023
10	299 + 143978763514113 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 299 + 989976977787369 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32	Norman Luhn	12 Jul 2023
11	299 + 14378213558417313 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 299 + 14620151003240735 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36	Norman Luhn	13 Jul 2023
12	299 + 2410527995924296083 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 299 + 667167960837765179 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42	Norman Luhn	15 Aug 2023
13	299 + 667167960837765173 + d, d = 0, 6, 12, 16, 18, 22, 28, 30, 36, 40, 42, 46, 48 299 + 17755702382581621293 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 299 + 41867352352413567635 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 299 + 23188276885009339055 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36, 46, 48 299 + 628541385750255531 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 299 + 572044386612137031 + d, d = 0, 2, 12, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48	Norman Luhn	15 Aug 2023 19 Nov 2023 20 Nov 2023 20 Nov 2023 20 Nov 2023 20 Nov 2023
14	299 + 82927738261722461943 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 299 + 209680156109951524551 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50	Norman Luhn	05 Jan 2024
15	299 + 13772503964850563400303 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56 299 + 49408572140248891027005 + d, d = 0, 6, 8, 14, 20, 24, 26, 30, 36, 38, 44, 48, 50, 54, 56 299 + 13987290093945392964399 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 299 + 3835978203165531278229 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56	Norman Luhn	12 Mar 2024 20 Mar 2024 29 Mar 2024 01 Apr 2024
20	299 + 33598714744034937623600046183 + d, d = 0, 2, 6, 8, 12, 20, 26, 30, 36, 38, 42, 48, 50, 56, 62, 66, 68, 72, 78, 80 299 + 5296400612115351349877849331 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80	Raanan Chermoni & Jaroslaw Wroblewski	18 Feb 2019 23 Dec 2018

k	Smallest 200 bit prime k-tuplets	Who ?	When ?
1	2199 + 101	Martin Raab	13 Jul 2023
2	2199 + 8889 + d, d = 0, 2	Martin Raab	13 Jul 2023
3	2199 + 72123 + d, d = 0, 2, 6 2199 + 2818049 + d, d = 0, 4, 6	Martin Raab	13 Jul 2023
4	2199 + 374470383 + d, d = 0, 2, 6, 8	Martin Raab	13 Jul 2023
5	2199 + 14054234553 + d, d = 0, 2, 6, 8, 12 2199 + 7546582739 + d, d = 0, 4, 6, 10, 12	Martin Raab Norman Luhn	13 Jul 2023
6	2199 + 227632933889 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn	13 Jul 2023
7	2199 + 13938620057133 + d, d = 0, 2, 6, 8, 12, 18, 20 2199 + 1956994990071 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn	13 Jul 2023
8	2199 + 42706466210769 + d, d = 0, 2, 6, 12, 14, 20, 24, 26 2199 + 95294016549945 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 2199 + 568260438520623 + d, d = 0, 2, 6, 8, 12, 18, 20, 26	Norman Luhn	27 Jul 2023
9	2199 + 24180602696220273 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 2199 + 16804341092269595 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30 2199 + 48053363049346089 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30 2199 + 51744532785806531 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30	Norman Luhn	13 Aug 2023 13 Aug 2023 14 Aug 2023 14 Aug 2023
10	2199 + 1983391332083983593 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 2199 + 3112390424118666009 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32	Norman Luhn	26 Aug 2023
11	2199 + 270888872587335684033 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 2199 + 155663590682805525635 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36	Norman Luhn	07 Mar 2024 09 Mar 2024

k	Smallest 300 bit prime k-tuplets	Who ?	When ?
1	2299 + 443	Martin Raab	13 Jul 2023
2	2299 + 4863 + d, d = 0, 2	Martin Raab	13 Jul 2023
3	2299 + 2853879 + d, d = 0, 2, 6 2299 + 673115 + d, d = 0, 4, 6	Martin Raab	13 Jul 2023
4	2299 + 2372622573 + d, d = 0, 2, 6, 8	Martin Raab	13 Jul 2023
5	2299 + 7387910943 + d, d = 0, 2, 6, 8, 12 2299 + 32313201209 + d, d = 0, 4, 6, 10, 12	Martin Raab Norman Luhn	13 Jul 2023 14 Jul 2023
6	2299 + 3789784726499 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn	19 Jul 2023
7	2299 + 166810455882483 + d, d = 0, 2, 6, 8, 12, 18, 20 2299 + 331781156999061 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn	21 Jul 2023
8	2299 + 47402336273419743 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 2299 + 6341590397589579 + d, d = 0, 2, 6, 12, 14, 20, 24, 26 2299 + 35265951900539025 + d, d = 0, 6, 8, 14, 18, 20, 24, 26	Norman Luhn	11 Aug 2023
9	2299 + 405889036127275113 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 2299 + 773068086627864515 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30 2299 + 860025651430858149 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30 2299 + 138143090255594981 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30	Norman Luhn	24 Oct 2023 24 Oct 2023 26 Oct 2023 26 Oct 2023
10	2299 + 65431951076759791293 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 2299 + 30072281538825827499 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32	Norman Luhn	29 Feb 2024 03 Mar 2024

k	Smallest 400 bit prime k-tuplets	Who ?	When ?
1	2399 + 51	Martin Raab	13 Jul 2023
2	2399 + 85083 + d, d = 0, 2	Martin Raab	13 Jul 2023
3	2399 + 10570029 + d, d = 0, 2, 6 2399 + 3179975 + d, d = 0, 4, 6	Martin Raab	13 Jul 2023
4	2399 + 256113903 + d, d = 0, 2, 6, 8	Martin Raab	13 Jul 2023
5	2399 + 99128449563 + d, d = 0, 2, 6, 8, 12 2399 + 98481611939 + d, d = 0, 4, 6, 10, 12	Martin Raab Norman Luhn	13 Jul 2023 14 Jul 2023
6	2399 + 13180674299609 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn	19 Jul 2023
7	2399 + 3491925501535803 + d, d = 0, 2, 6, 8, 12, 18, 20 2399 + 1842056868546681 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn	21 Jul 2023
8	2399 + 345183052505227653 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 2399 + 61452569903855919 + d, d = 0, 2, 6, 12, 14, 20, 24, 26 2399 + 180919947394527765 + d, d = 0, 6, 8, 14, 18, 20, 24, 26	Norman Luhn	23 Aug 2023 24 Aug 2023 24 Aug 2023

k	Smallest 500 bit prime k-tuplets	Who ?	When ?
1	2499 + 161	Martin Raab	13 Jul 2023
2	2499 + 8859 + d, d = 0, 2	Martin Raab	13 Jul 2023
3	2499 + 68528433 + d, d = 0, 2, 6 2499 + 4844525 + d, d = 0, 4, 6	Martin Raab	13 Jul 2023
4	2499 + 11378579493 + d, d = 0, 2, 6, 8	Martin Raab	13 Jul 2023
5	2499 + 539331940653 + d, d = 0, 2, 6, 8, 12 2499 + 11378579489 + d, d = 0, 4, 6, 10, 12	Norman Luhn	14 Jul 2023
6	2499 + 199620213775469 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn	19 Jul 2023
7	2499 + 12409622135502363 + d, d = 0, 2, 6, 8, 12, 18, 20 2499 + 9381522951970311 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn	22 Jul 2023
8	2499 + 1042475763472726893 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 2499 + 406612957572679449 + d, d = 0, 2, 6, 12, 14, 20, 24, 26 2499 + 724875035915702535 + d, d = 0, 6, 8, 14, 18, 20, 24, 26	Norman Luhn	14 Feb 2024 16 Feb 2024 18 Feb 2024

k	Smallest 600 bit prime k-tuplets	Who ?	When ?
1	2599 + 323	Martin Raab	13 Jul 2023
2	2599 + 69549 + d, d = 0, 2	Martin Raab	13 Jul 2023
3	2599 + 7635903 + d, d = 0, 2, 6 2599 + 5980025 + d, d = 0, 4, 6	Martin Raab	13 Jul 2023
4	2599 + 1427682333 + d, d = 0, 2, 6, 8	Martin Raab	13 Jul 2023
5	2599 + 2983895632983 + d, d = 0, 2, 6, 8, 12 2599 + 13312077809 + d, d = 0, 4, 6, 10, 12	Norman Luhn	14 Jul 2023
6	2599 + 4829379809459 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn	19 Jul 2023
7	2599 + 28555292243239713 + d, d = 0, 2, 6, 8, 12, 18, 20 2599 + 93928663099950861 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn	24 Jul 2023 27 Jul 2023

k	Smallest 700 bit prime k-tuplets	Who ?	When ?
1	2699 + 1719	Martin Raab	13 Jul 2023
2	2699 + 95643 + d, d = 0, 2	Martin Raab	13 Jul 2023
3	2699 + 31683429 + d, d = 0, 2, 6 2699 + 21783359 + d, d = 0, 4, 6	Martin Raab	13 Jul 2023
4	2699 + 5898378783 + d, d = 0, 2, 6, 8	Martin Raab	13 Jul 2023
5	2699 + 286638799533 + d, d = 0, 2, 6, 8, 12 2699 + 1201168189169 + d, d = 0, 4, 6, 10, 12	Norman Luhn	14 Jul 2023
6	2699 + 1078186871352659 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn	19 Jul 2023
7	2699 + 13681366770598593 + d, d = 0, 2, 6, 8, 12, 18, 20 2699 + 11159915393326941 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn	27 Aug 2023

k	Smallest 800 bit prime k-tuplets	Who ?	When ?
1	2799 + 221	Martin Raab	13 Jul 2023
2	2799 + 264699 + d, d = 0, 2	Martin Raab	13 Jul 2023
3	2799 + 424029 + d, d = 0, 2, 6 2799 + 45673049 + d, d = 0, 4, 6	Martin Raab	13 Jul 2023
4	2799 + 26130268683 + d, d = 0, 2, 6, 8	Martin Raab	13 Jul 2023
5	2799 + 3799890023343 + d, d = 0, 2, 6, 8, 12 2799 + 13002326735759 + d, d = 0, 4, 6, 10, 12	Norman Luhn	18 Jul 2023
6	2799 + 897352451983859 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn	20 Jul 2023

k	Smallest 900 bit prime k-tuplets	Who ?	When ?
1	2899 + 719	Martin Raab	13 Jul 2023
2	2899 + 22563 + d, d = 0, 2	Martin Raab	13 Jul 2023
3	2899 + 286962753 + d, d = 0, 2, 6 2899 + 147533135 + d, d = 0, 4, 6	Martin Raab	13 Jul 2023
4	2899 + 95640838383 + d, d = 0, 2, 6, 8	Norman Luhn	14 Jul 2023
5	2899 + 37011969606933 + d, d = 0, 2, 6, 8, 12 2899 + 801415013099 + d, d = 0, 4, 6, 10, 12	Norman Luhn	18 Jul 2023
6	2899 + 2664584583218609 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn	20 Jul 2023