A329158 Let P1>=3, P2, P3 be consecutive primes, with P3-P2=2. a(n)=(P2+P3)/12 when P2-P1 sets a record.

1, 2, 5, 25, 87, 192, 500, 1158, 1668, 4217, 4713, 5955, 17127, 28905, 61838, 76967, 96147, 139725, 260342, 1061923, 1205080, 4663498, 8871842, 11732765, 32534740, 42313103, 77638122, 92523718, 282054523, 728833340, 2940948542, 3344803093, 11810906035

Offset

1,2

Comments

6*a(n)-1, 6*a(n)+1 are twin primes such that the prime gap immediately preceding 6*a(n)-1 sets a record. The corresponding gap lengths are provided in A329159.

Links

Table of n, a(n) for n=1..33.

Prog

(PARI) p1=3; p2=5; r=0; forprime(p3=7, 1e9, if(p3-p2==2, d=p2-p1; if(d>r, r=d; print1((p2+p3)/12, ", "))); p1=p2; p2=p3)

Crossrefs

Cf. A002822, A084105, A329159, A329160, A329161, A329164, A329165.

Sequence in context: A015957 A349146 A268356 * A337435 A074417 A296105

Adjacent sequences: A329155 A329156 A329157 * A329159 A329160 A329161

Keyword

nonn

Author

Hugo Pfoertner, Nov 06 2019

Status

approved