A052351 First primes from A023200 where distance to the next 4-twin increases.

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

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