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A329161 2*a(n) are the lengths of record prime gaps immediately following twin primes. 6
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified April 8 05:55 EDT 2020. Contains 333312 sequences. (Running on oeis4.)