A329161 2*a(n) are the lengths of record prime gaps immediately following twin primes.

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

Offset: 1

Author

Hugo Pfoertner, Nov 08 2019

Keywords

• nonn
• more

Comments

The corresponding locations are provided in A329160, starting at the initial pair 5, 7.

Examples

			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).
		

Crossrefs

Cf. A329158, A329159, A329160, A329164, A329165.

Programs

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)

Extensions

a(39)-a(40) from Jinyuan Wang, Mar 01 2020