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A052356 First prime from A031932 such that its distance to the next 14-twin increases. +0
1
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 (list; graph; listen)
OFFSET

1,1

COMMENT

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

A031932, A053325, A053280, A053281.

Sequence in context: A025041 A083621 A083622 this_sequence A110599 A138717 A139776

Adjacent sequences: A052353 A052354 A052355 this_sequence A052357 A052358 A052359

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Mar 07 2000

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Last modified July 8 18:40 EDT 2008. Contains 141013 sequences.


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