A052358 First prime from A031936 (lesser of 18-twin primes) whose distance to the next 18-twin increases.

20183, 20963, 14011, 26759, 7433, 45613, 4703, 21911, 26539, 18233, 6581, 4423, 7351, 37379, 55903, 25801, 4373, 6529, 35879, 119993, 22171, 12923, 10691, 52609, 14303, 20201, 16231, 21121, 103049, 17863, 6451, 34439, 50341, 76129, 3803, 23251, 15241, 14369

Offset

1,1

Comments

The smallest distance between 18-twins [A052380(9)] is 18 and its minimal increment is 2.

Links

Table of n, a(n) for n=1..38.

Formula

a(n)=p is the first prime initiating [p, p+18, p+2n+16, p+2n+16+18] prime and [18, 2n-2, 18] d-pattern.

Example

a(3)=14011 initiates [14011,14029,14033,14051] or [18,4,18] p and d-patterns.
a(7)=4703 specifies [4703,4721,4133,4151], [18,28,18] including 2 primes (4723,4729) in the center.

Crossrefs

Cf. A031936, A053327, A052380, A052381.

Sequence in context: A114613 A209878 A031682 * A052189 A075670 A053073

Adjacent sequences: A052355 A052356 A052357 * A052359 A052360 A052361

Keyword

nonn

Author

Labos Elemer, Mar 07 2000

Extensions

a(13) corrected and missing terms inserted by Sean A. Irvine, Nov 07 2021

Status

approved