**The
big database of ****"The smallest
prime k-tuplets"***(compressed files)*

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## last updated: 27 Oct 2021

*The
first 1,000,000 initial members of*
*twin
primes* |
pattern: d= 0, 2 OEIS:
*A001359*

*The
first 1,000,000 initial members of* *prime
triplets* |
pattern: d= 0, 2, 6 OEIS:
*A022004*

*The
first 1,000,000 initial members of* *prime
triplets* |
pattern: d= 0, 4, 6 OEIS:
*A022005*

*The
first 1,000,000 initial members of* *prime
quadruplets* |
pattern: d= 0, 2, 6, 8 OEIS:
*A007530*

*The
first 1,000,000 initial members of* *prime
quintuplets* |
pattern: d= 0, 2, 6, 8, 12 OEIS:
*A022006*

*The
first 1,000,000 initial members of* *prime
quintuplets* |
pattern: d= 0, 4, 6, 10, 12 OEIS:
*A022007*

*The
first 1,000,000 initial members of* *prime
sextuplets* |
pattern: d= 0, 4, 6, 10, 12, 16 OEIS:
*A022008*

*The
first 1,000,000 initial members of* *prime
septuplets* |
pattern: d= 0, 2, 6, 8, 12, 18, 20 OEIS:
*A022009*

*The
first 1,000,000 initial members of* *prime
septuplets* |
pattern: d= 0, 2, 8, 12, 14, 18, 20 OEIS:
*A022010*

*The
first 10,000,000 initial members of* *prime
octuplets* |
pattern: d= 0, 2, 8, 12, 14, 18, 20, 26 OEIS:
*A022011*

*The
first 10,000,000 initial members of ***prime
octuplets** **|
pattern: d= 0, 2, 6, 12, 14, 20, 24, 26 **
**OEIS:**
**A022012**

*The
first 10,000,000 initial members of* *prime
octuplets* |
pattern: d= 0, 6, 8, 14, 18, 20, 24, 26 OEIS:
*A022013*

*The
first 1,000,000 initial members of* *prime
9-tuplets* |
pattern: d= 0, 2, 6, 8, 12, 18, 20, 26, 30 OEIS:
*A022545*

*The
first 1,000,000 initial members of ***prime
9-tuplets** *|*
**pattern:
d= 0, 2, 6, 12, 14, 20, 24, 26, 30 **
**OEIS:**
**A022546**

*The
first 1,000,000 initial members of* *prime
9-tuplets* |
pattern: d= 0, 4, 6, 10, 16, 18, 24, 28, 30 OEIS:
*A022547*

*The
first 1,000,000 initial members of* *prime
9-tuplets* |
pattern: d= 0, 4, 10, 12, 18, 22, 24, 28, 30 OEIS:
*A022548*

*The
first 1,000,000 initial members of* *prime
10-tuplets* |
pattern: d= 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 OEIS:
*A027569*

*The
first 1,000,000 initial members of* *prime
10-tuplets* |
pattern: d= 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 OEIS:
*A027570*

*The
first 100,000 initial members of* *prime
11-tuplets* |
pattern: d= 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36 OEIS:
*A213646*

*The
first 100,000 initial members of* *prime
11-tuplets* |
pattern: d= 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 OEIS:
*A213647*

*The
first 20,000 initial members of* *prime
12-tuplets* |
pattern: d= 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 OEIS:
*A213645*

*The
first 20,000 initial members of* **prime
12-tuplets** **|**
**pattern: d= 0, 6, 10, 12, 16,
22, 24, 30, 34, 36, 40, 42 ****OEIS:
****A213601**

*The
first 5,012 initial members of* **prime
13-tuplets** **|
pattern: d= 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 ****OEIS:
****A257139**

*The
first 6,305 initial members of* **prime
13-tuplets** **|
pattern: d= 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48**
**OEIS:**
**A257137**

*The
first 5,290 initial members of*
**prime
13-tuplets ****|**
**pattern: d= 0, 4, 6, 10, 16,
18, 24, 28, 30, 34, 36, 46, 48** **OEIS:**
**A257138**

*The
first 6,264 initial members of*
**prime
13-tuplets ****|**
**pattern: d= 0, 2, 8, 14, 18,
20, 24, 30, 32, 38, 42, 44, 48** **OEIS:**
**A257140**

*The
first 5,307 initial members of*
**prime
13-tuplets**
**|**
**pattern:**
**d=
0, 2, 12, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48**
**OEIS:**
**A257141**

*The
first 5,579 initial members of*
**prime
13-tuplets**
**|**
**pattern:**
**d=
0, 6, 12, 16, 18, 22, 28, 30, 36, 40, 42, 46, 48**
**OEIS:**
**A214947**

*The
first 919 initial members of* **prime
14-tuplet** **|
pattern:** **d=
0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50** **OEIS:**
**A257167**

*The
first 891 initial members of*
**prime
14-tuplet** **|
****pattern:**
**d=0,
2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50** **OEIS:**
**A257168**

*The
first 73 initial members of* **prime
15-tuplets** **|
pattern: d= 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50,
56 ****OEIS:
****A257304**

*The
first 68 initial members of* **prime
15-tuplets** **|
pattern: d= 0, 6, 8, 14, 20, 24, 26, 30, 36, 38, 44, 48, 50, 54,
56 ****OEIS:
****A257307**

*The
first 261 initial members of* **prime
15-tuplets** **|
pattern: d=0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54,
56 ****OEIS:
****A257305**

*The
first *__in
process!!__*
initial members of* **prime
15-tuplets** **|
pattern: d=0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56
****OEIS:
****A257306**

*The
first 30 initial members of* **prime
16-tuplet** **|
pattern:** **d=
0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60** **OEIS:**
**A257369**

*The
first 37 initial members of*
**prime
16-tuplet** **|
****pattern:**
**d=0,
2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60** **OEIS:**
**A257370**

**More
known initial prime k-tuplets **

**End.**