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A052353
First primes of A031926 (lesser of 8-twins) with increasing distance to the next 8-twin.
0
389, 683, 719, 359, 1523, 2699, 401, 929, 2153, 1373, 2459, 2531, 1439, 1733, 8573, 2741, 4943, 9059, 5051, 983, 3491, 9173, 7529, 761, 1823, 1571, 3041, 5399, 1193, 2273, 491, 8171, 23549, 5189, 5813, 53189, 3221, 4349, 32789, 49823, 18749, 19001
OFFSET
1,1
COMMENTS
The smallest distance [A052380(4)] between 8-twins is 12, while its minimal increment is 6.
FORMULA
a(n) = p yields a prime quadruple of [p, p+8, p+6n+6, p+6n+6+8] and difference pattern of [8, 6n-2, 8].
EXAMPLE
a(1)=389 specifies quadruple of [389,397,401,409] with no prime between 397 and 401;
a(10)=1373 gives quadruple of [1373,1381,1439,1447] and [8,58,8] difference pattern with 6 primes in the central gap.
CROSSREFS
KEYWORD
nonn
AUTHOR
Labos Elemer, Mar 07 2000
STATUS
approved