A286313 Union of A078561 and A078562.

19, 31, 43, 61, 73, 79, 127, 157, 163, 229, 271, 349, 373, 379, 433, 439, 499, 607, 643, 673, 733, 751, 937, 967, 1009, 1093, 1213, 1279, 1291, 1429, 1489, 1543, 1549, 1597, 1609, 1657, 1777, 1861, 1987, 2131, 2203, 2287, 2341, 2347, 2371, 2383, 2389

Offset

1,1

Comments

Number of terms among first 10^k primes, k=1..8:

0, 1, 17, 105, 646, 4385, 31721, 240346, 1884832.

E.g., k=1, first 10 primes are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, and only 19 is a term of the sequence. - Zak Seidov, May 08 2017

Primes p such that prime(p+2) = p + 10. - Harvey P. Dale, Jan 13 2022

Links

Harvey P. Dale, Table of n, a(n) for n = 1..2000

R. J. Mathar, Table of Prime Gap Constellations

Maple

select(p -> isprime(p) and isprime(p+10) and (isprime(p+4) xor isprime(p+6)), [seq(i, i=5..10000, 2)]); # Robert Israel, May 08 2017

Mathematica

Select[Prime[Range[1000]], NextPrime[#, 2] == # + 10 &]
Select[Partition[Prime[Range[400]], 3, 1], #[[1]]+10==#[[3]]&][[All, 1]] (* Harvey P. Dale, Jan 13 2022 *)

Crossrefs

Cf. A078561 and A078562.

Sequence in context: A120115 A157995 A043298 * A040068 A096787 A104006

Adjacent sequences: A286310 A286311 A286312 * A286314 A286315 A286316

Keyword

nonn

Author

Zak Seidov, May 06 2017

Status

approved