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A052357
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First prime from A031934 (lesser of 16-twins) whose distance to the next 16-twin increases.
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0
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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
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OFFSET
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1,1
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COMMENTS
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The smallest distance between 16-twins [A052380(8)] is 18 and its minimal increment is 6.
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LINKS
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FORMULA
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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].
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EXAMPLE
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a(7) = p = 4057 gives [4057,4073,4111,4127] quadruple and [16,38,16] distance pattern with 4 primes in the medial gap.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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Incorrect 43207 removed and more terms from Sean A. Irvine, Nov 06 2021
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STATUS
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approved
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