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A052351 First primes from A023200 where distance to the next 4-twin increases. 0
7, 67, 19, 43, 163, 127, 397, 229, 769, 1489, 673, 9547, 1009, 1783, 1693, 2857, 11677, 23869, 499, 1093, 4003, 28657, 10459, 29383, 12487, 6043, 41647, 7039, 17029, 19207, 15073, 24247, 65839, 29629, 18583, 9883, 66697, 100699, 7243 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(n) is a "lesser of a 4-twin" prime whose distance to the next twin is 6n.

Both the smallest distance (A052380) and its increment for 4-twins is 6.

LINKS

Table of n, a(n) for n=1..39.

FORMULA

The prime a(n)=p is the first which determines a prime quadruple [p, p+4, p+6n, p+6n+4] and difference pattern of [4, 6n-4, 4].

EXAMPLE

a(1)=7 gives [7,11,7+6=13,17] with no primes between 11 and 13.

a(5)=163 specifies [163,167,163+30=191,193] with 4 primes between 167 and 193.

CROSSREFS

Cf. A023200, A053320, A052380, A052381.

Sequence in context: A244602 A223889 A197744 * A210476 A217095 A106111

Adjacent sequences:  A052348 A052349 A052350 * A052352 A052353 A052354

KEYWORD

nonn

AUTHOR

Labos Elemer, Mar 07 2000

STATUS

approved

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Last modified February 21 23:41 EST 2020. Contains 332113 sequences. (Running on oeis4.)