

A052359


First prime of A031938 (lesser of primes differing by 20) whose distance to the next 20twin increases.


1



46703, 37223, 65147, 20369, 63929, 71999, 11597, 11027, 99767, 93503, 5903, 14087, 115163, 24821, 104891, 24923, 11867, 53381, 65657, 93581, 99623, 11447, 18461, 126761, 32213, 27653, 72797, 5717, 154247, 54449, 27827, 10223, 56747, 18617
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OFFSET

1,1


COMMENTS

The smallest distance between 20twins is 24 [= A052380(10)], while its minimal increment is 6.
a(n)=p starts [p,p+20,p+6n+18,p+6n+38] and [20,6n2,20] patterns of primes and their difference.


LINKS

Table of n, a(n) for n=1..34.


FORMULA

a(n)=p is the smallest prime which starts a [p, p+20] twin followed by the next [p+6n+18, p+6n+18+20] twin.


EXAMPLE

n=1, a(1)=46703 results in [46703,46723,46727,46747] or [20,4,20];
n=11 a(11)=5903 yields [5903,5923,5987,6007] or [20,64,20] with 4 primes in the medial gap.


CROSSREFS

Cf. A031938, A053331, A052380, A052381.
Sequence in context: A265285 A255514 A251502 * A205752 A205474 A232411
Adjacent sequences: A052356 A052357 A052358 * A052360 A052361 A052362


KEYWORD

nonn


AUTHOR

Labos Elemer, Mar 07 2000


EXTENSIONS

Offset changed to 1 by Michel Marcus, Apr 30 2019


STATUS

approved



