A172057 Primes p such that either p-5/2 -+ 1/2 is prime.

7, 13, 19, 31, 43, 61, 73, 103, 109, 139, 151, 181, 193, 199, 229, 241, 271, 283, 313, 349, 421, 433, 463, 523, 571, 601, 619, 643, 661, 811, 823, 829, 859, 883, 1021, 1033, 1051, 1063, 1093, 1153, 1231, 1279, 1291, 1303, 1321, 1429, 1453, 1483, 1489, 1609

Offset

1,1

Comments

Greater of twin primes where twin primes of the form 6*k+1.

Links

Table of n, a(n) for n=1..50.

Cristian Cobeli and Alexandru Zaharescu, On the discrete trajectories of a self-propelled particle, arXiv:2403.14894 [math.NT], 2024. See p. 11.

Formula

a(n) = A006512(n+1).

Mathematica

Select[Prime@ Range[4, 250], AnyTrue[# - 5/2 + {-1/2, 1/2}, PrimeQ] &] (* Michael De Vlieger, Mar 28 2024 *)

Crossrefs

Cf. A006512.

Sequence in context: A242190 A053458 A040058 * A173176 A216550 A267803

Adjacent sequences: A172054 A172055 A172056 * A172058 A172059 A172060

Keyword

nonn

Author

Juri-Stepan Gerasimov, Jan 24 2010

Extensions

Corrected (829 and 859 inserted) R. J. Mathar, May 02 2010

Status

approved