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A052357 First prime from A031934 (=lesser of 16-twins, geminor-16 primes) such that its distance to the next 16-twin increases. +0
1
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, 43207, 2593 (list; graph; listen)
OFFSET

1,1

COMMENT

The smallest distance between 16-twins [A052380(8)] is 18 and its minimal increment is 6.

FORMULA

a(n)=p is the smallest prime introducing [p, p+16, p+6n+12, p+6n+12+16] prime quadruple and [16, 6n-4, 16] d-pattern.

EXAMPLE

n=7, a(7)=p=4057 gives [4057,4073,4111,4127] quadruple and [16,38,16] distance pattern with 4 primes in the medial gap.

CROSSREFS

A031934, A053326, A053280, A053281.

Sequence in context: A014441 A139778 A139779 this_sequence A164521 A114769 A013803

Adjacent sequences: A052354 A052355 A052356 this_sequence A052358 A052359 A052360

KEYWORD

nonn

AUTHOR

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

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.


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