

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
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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(p2p1==2, d=p3p2; 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



