A329160 Let P1>=5, P2, P3 be consecutive primes, with P2-P1=2. a(n)=(P1+P2)/12 when P3-P2 sets a record.

1, 5, 23, 33, 87, 278, 495, 1293, 2027, 2690, 4245, 6773, 13283, 24938, 28893, 44270, 67475, 139708, 224922, 315893, 971000, 1723960, 3319792, 6228255, 7013717, 13194622, 25321985, 31864375, 32163975, 65155398, 86090027, 381175405, 452803425

Offset

1,2

Comments

6*a(n)-1, 6*a(n)+1 are twin primes such that the prime gap immediately following 6*a(n)+1 sets a record. The corresponding gap lengths are provided in A329161.

Links

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

Example

See A329161.

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((p1+p2)/12, ", "))); p1=p2; p2=p3)

Crossrefs

Cf. A002822, A084105, A329158, A329159, A329161, A329164, A329165.

Sequence in context: A071199 A238195 A231002 * A337436 A050906 A195974

Adjacent sequences: A329157 A329158 A329159 * A329161 A329162 A329163

Keyword

nonn

Author

Hugo Pfoertner, Nov 08 2019

Status

approved