A052359 First prime of A031938 (lesser of primes differing by 20) whose distance to the next 20-twin increases.

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

Offset

1,1

Comments

The smallest distance between 20-twins is 24 [= A052380(10)], while its minimal increment is 6.

a(n)=p starts [p,p+20,p+6n+18,p+6n+38] and [20,6n-2,20] 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