A329161 2*a(n) are the lengths of record prime gaps immediately following twin primes.

2, 3, 5, 6, 9, 12, 14, 15, 17, 21, 26, 27, 29, 30, 35, 41, 45, 50, 59, 60, 63, 71, 74, 75, 84, 92, 96, 98, 104, 110, 125, 129, 144, 155, 156, 165, 180, 201, 204, 207

Offset

1,1

Comments

The corresponding locations are provided in A329160, starting at the initial pair 5, 7.

Links

Table of n, a(n) for n=1..40.

Example

a(1) = 2 because the prime gap after 5, 7 has length 11 - 7 = 2*a(1) = 4,
a(2) = 3 because the prime gap after 29,31 has length 37 - 31 = 2*a(2) = 6, with location given by 6*A329160(2) = 30 +- 1. The gaps before all have length 4 (11,13 -> 17), (17,19 -> 23).

Prog

(PARI) p1=5; p2=7; r=0; forprime(p3=11, 1e9, if(p2-p1==2, d=p3-p2; if(d>r, r=d; print1(d/2, ", "))); p1=p2; p2=p3)

Crossrefs

Cf. A329158, A329159, A329160, A329164, A329165.

Sequence in context: A086191 A074658 A186106 * A124866 A166247 A126785

Adjacent sequences: A329158 A329159 A329160 * A329162 A329163 A329164

Keyword

nonn,more

Author

Hugo Pfoertner, Nov 08 2019

Extensions

a(39)-a(40) from Jinyuan Wang, Mar 01 2020

Status

approved