OFFSET
1,2
COMMENTS
Position of record gaps with no primes bounded by consecutive pairs of twin primes. The length of the corresponding record gaps (P3-P1)/6 is given by A329165.
LINKS
Tomáš Brada and Natalia Makarova, Table of n, a(n) for n = 1..58
EXAMPLE
Values of P1, P2, P3, P4 corresponding to record gaps:
P3-P1 P1 P2 P3 P4 a(n)
6 5 7 11 13 (5+7)/12 = 1
12 137 139 149 151 (137+139)/12 = 23
18 1931 1933 1949 1951 (1931+1933)/12 = 322
30 2969 2971 2999 3001 (2969+2971)/12 = 495
PROG
(PARI) p1=3; p2=5; p3=7; r=0; forprime(p4=11, 1e9, if(p2-p1==2&&p4-p3==2, d=p3-p2; if(d>r, r=d; print1((p1+p2)/12, ", "))); p1=p2; p2=p3; p3=p4)
CROSSREFS
KEYWORD
nonn
AUTHOR
Hugo Pfoertner, Nov 07 2019
STATUS
approved