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A052357 First prime from A031934 (lesser of 16-twins) whose distance to the next 16-twin increases. 0
3373, 32917, 2221, 13597, 3391, 37783, 4057, 13537, 8581, 41911, 6763, 7333, 10867, 12457, 1831, 2113, 14683, 37201, 6637, 17581, 25423, 37447, 11353, 11197, 20611, 22453, 57397, 1933, 50707, 37591, 11503, 39733, 2593, 122131, 22921, 9013, 17167, 10273, 9661 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
The smallest distance between 16-twins [A052380(8)] is 18 and its minimal increment is 6.
LINKS
FORMULA
a(n) = p is the smallest prime introducing the prime quadruple [p, p+16, p+6n+12, p+6n+12+16], which has a difference pattern [16, 6n-4, 16].
EXAMPLE
a(7) = p = 4057 gives [4057,4073,4111,4127] quadruple and [16,38,16] distance pattern with 4 primes in the medial gap.
CROSSREFS
Sequence in context: A139779 A031626 A117921 * A218908 A164521 A251153
KEYWORD
nonn
AUTHOR
Labos Elemer, Mar 07 2000
EXTENSIONS
Incorrect 43207 removed and more terms from Sean A. Irvine, Nov 06 2021
STATUS
approved

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)