Record Gaps Between Prime 14-tuplets

Pattern d: d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50
Gap end
merit = 50975.352516278 ·∫dt / log14 t
Gap start
Rank Gap Size Gap start Next Prime 14-tuplet Merit Who When
1 21817283854511250 11 21817283854511261 0.786845Norman Luhn08 Nov 2022
2 819445162715639460 21817283854511261 841262446570150721 1.432700Norman Luhn08 Nov 2022
3 1675784608444106160 1006587882969594041 2682372491413700201 1.602888Norman Luhn08 Nov 2022
4 2326755650222413410 2682372491413700201 5009128141636113611 1.729216Norman Luhn08 Nov 2022
5 4876713226035320670 7993822923596334941 12870536149631655611 2.616805Norman Luhn08 Nov 2022
6 7048912030830439770 15762479629138737611 22811391659969177381 3.106966Norman Luhn08 Nov 2022
7 16500165154411618680 25908823282383706781 42408988436795325461 6.091115Norman Luhn08 Nov 2022
8 19011515281144476090 335882987557881108461 354894502839025584551 3.463166Norman Luhn08 Nov 2022
9 20374106632355996520 419841137128664516381 440215243761020512901 3.478685Norman Luhn08 Nov 2022
10 21460940435578674030 552008003201031051791 573468943636609725821 3.385760Norman Luhn08 Nov 2022
11 27933178285170538380 590079087912119470781 618012266197290009161 4.316435Norman Luhn08 Nov 2022
12 48071489132368681980 859081522016728075181 907153011149096757161 6.650095Norman Luhn08 Nov 2022
13 92270965594158741390 1334120742690780679751 1426391708284939421141
11.21961
 Norman Luhn08 Nov 2022
14 103641250456968814590 3614368465970600573351 3718009716427569387941 9.541297 Norman Luhn 08 Nov 2022
15 134175116078588905320 16733273402979328280201 16867448519057917185521 8.093587 Richard Fischer 06 Nov 2025
Maximal gaps below 2.20 · 1022

Pattern d: d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50
Gap end
merit = 50975.352516278 ·∫dt / log14 t
Gap start
Rank Gap Size Gap start Next Prime 14-tuplet Merit Who When
1 2635336190921744310 79287805466244209 2714623996387988519 3.063597Norman Luhn08 Nov 2022
2 3947929680306131520 6808488664768715759 10756418345074847279 2.237877Norman Luhn08 Nov 2022
3 4422393730575540720 43075812519432827969 47498206250008368689 1.489859Norman Luhn08 Nov 2022
4 11465325960203054940 50079448898342988959 61544774858546043899 3.623336Norman Luhn08 Nov 2022
5 13813857406960971360 61544774858546043899 75358632265507015259 4.100039Norman Luhn08 Nov 2022
6 14914886976925105170 92414752514930310299 107329639491855415469 3.943414Norman Luhn08 Nov 2022
7 17775158379300932610 290065053813204845009 307840212192505777619 3.379601Norman Luhn08 Nov 2022
8 19385612913500493660 351446791109854725119 370832404023355218779 3.485013Norman Luhn08 Nov 2022
9 22425722535339213090 470111374706920151039 492537097242259364129 3.704060Norman Luhn08 Nov 2022
10 35121915260759527200 562210526472710700419 597332441733470227619 5.492975Norman Luhn08 Nov 2022
11 39135706901018017290 623783468544623572019 662919175445641589309 5.937228Norman Luhn08 Nov 2022
12 41284248626105374890 989970781565059919459 1031255030191165294349 5.492107Norman Luhn08 Nov 2022
13 43358796938205859110 3322258534990494654389 3365617331928700513499 4.096606Norman Luhn08 Nov 2022
14 44399963293584618720 4236334354109104221809 4280734317402688840529 3.918687Norman Luhn08 Nov 2022
15 45783096075541114290 4914021385489833561779 4959804481565374676069 3.876537Norman Luhn08 Nov 2022
16 112260512310501194640 5184484888160847093659 5296745400471348288299
9.347728
 Norman Luhn08 Nov 2022
17 123883344649941166290 10877288864262501305459 11001172208912442471749 8.407592 Richard Fischer05 Nov 2025
Maximal gaps below 2.20 · 1022


Record Gaps Between Prime 14-tuplets Over All Patterns


Gap end
merit = 101950.705032556 ·∫dt / log14 t
Gap start
Rank Gap Size Gap start Next Prime 14-tuplet Merit Who When
1 21817283854511250 11 21817283854511261 1.573691 Norman Luhn 18 Jan 2023
2 57470521611732948 21817283854511261 79287805466244209 0.389911 Norman Luhn 18 Jan 2023
3 761974641103906512 79287805466244209 841262446570150721 2.475489 Norman Luhn 18 Jan 2023
4 1675784608444106160 1006587882969594041 2682372491413700201 3.205777 Norman Luhn 18 Jan 2023
5 2294504145248125092 2714623996387988519 5009128141636113611 3.404953 Norman Luhn 18 Jan 2023
6 2762595421478512338 7993822923596334941 10756418345074847279 3.060507 Norman Luhn 18 Jan 2023
7 3250311817059557250 27367669288651556699 30617981105711113949 2.515795 Richard Fischer 06 Nov 2025
8 3820498055844159690 35863507147601267969 39684005203445427659 2.723091 Norman Luhn 18 Jan 2023
9 4453862600174808102 50079448898342988959 54533311498517797061 2.870186 Norman Luhn 18 Jan 2023
10 5212642265415765180 55603189618237916771 60815831883653681951 3.250381 Norman Luhn 18 Jan 2023
11 8596064239562449368 98733575252292966101 107329639491855415469 4.501520 Norman Luhn 18 Jan 2023
12 9696176181714212190 294883369734311433191 304579545916025645381 3.684082 Norman Luhn 18 Jan 2023
13 15947853408687129930 473029310348949789551 488977163757636919481 5.269161 Norman Luhn 18 Jan 2023
14 19022094759222825552 958585542764963318039 977607637524186143591 5.124361 Norman Luhn 18 Jan 2023
15 20424171342813878640 1342822630273778658839 1363246801616592537479 4.995132 Norman Luhn 18 Jan 2023
16 28797753387111208500 1392392425078137978329 1421190178465249186829 6.964593 Norman Luhn 18 Jan 2023
17 38643589780604278470 2125478663401345427009 2164122253181949705479
8.282910
 Norman Luhn 18 Jan 2023
18 43358796938205859110 3322258534990494654389 3365617331928700513499 8.193212 Norman Luhn 18 Jan 2023
19 53311036642542268308 7947079609610035209431 8000390646252577477739 7.897853 Norman Luhn 18 Jan 2023
20 55447722771922650938 15000156838031084004401 15055604560803006655289 6.896731 Richard Fischer 06 Nov 2025
Maximal gaps below 2.20 · 1022