Sets of 4 Prime Quadruples
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Sequence
The following are the $38$ sets of prime quadruples up to $100 \, 000$:
- $5, 7, 11, 13$
- $11, 13, 17, 19$
- $101, 103, 107, 109$
- $191, 193, 197, 199$
- $821, 823, 827, 829$
- $1481, 1483, 1487, 1489$
- $1871, 1873, 1877, 1879$
- $2081, 2083, 2087, 2089$
- $3251, 3253, 3257, 3259$
- $3461, 3463, 3467, 3469$
- $5651, 5653, 5657, 5659$
- $9431, 9433, 9437, 9439$
- $13001, 13003, 13007, 13009$
- $15641, 15643, 15647, 15649$
- $15731, 15733, 15737, 15739$
- $16061, 16063, 16067, 16069$
- $18041, 18043, 18047, 18049$
- $18911, 18913, 18917, 18919$
- $19421, 19423, 19427, 19429$
- $21011, 21013, 21017, 21019$
- $22271, 22273, 22277, 22279$
- $25301, 25303, 25307, 25309$
- $31721, 31723, 31727, 31729$
- $34841, 34843, 34847, 34849$
- $43781, 43783, 43787, 43789$
- $51341, 51343, 51347, 51349$
- $55331, 55333, 55337, 55339$
- $62981, 62983, 62987, 62989$
- $67211, 67213, 67217, 67219$
- $69491, 69493, 69497, 69499$
- $72221, 72223, 72227, 72229$
- $77261, 77263, 77267, 77269$
- $79691, 79693, 79697, 79699$
- $81041, 81043, 81047, 81049$
- $82721, 82723, 82727, 82729$
- $88811, 88813, 88817, 88819$
- $97841, 97843, 97847, 97849$
- $99131, 99133, 99137, 99139$
The sequence of the first elements is A007530 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).
Sources
- Aug. 1993: Ram Nair: Numbers Count (Personal Computer World Vol. (unknown): p. (unknown))
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $99,131$