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A052356
First prime from A031932 whose distance to the next 14-twin increases.
0
24749, 293, 3833, 21467, 23417, 14159, 3779, 18353, 773, 4817, 18959, 2939, 863, 7607, 3677, 8039, 5939, 2633, 7727, 13367, 51839, 51659, 7043, 5153, 8447, 26189, 1409, 113, 7853, 1847, 13859, 43223, 2423, 24533, 65867, 50909, 19763, 15173
OFFSET
1,1
COMMENTS
The smallest distance between 14-twins [A052380(7)] is 18 and its minimal increment is 6.
FORMULA
a(n)=p is the first prime initiating [p, p+14, p+6n+12, p+6n+12+14] quadruple and prime difference pattern of [14, 6n-2, 14].
EXAMPLE
n=2 results in [293,307,317,331] p-pattern and [14,24,14] d-pattern with 2 further primes (311 and 313) in the central gap.
CROSSREFS
KEYWORD
nonn
AUTHOR
Labos Elemer, Mar 07 2000
STATUS
approved