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A286313 Union of A078561 and A078562. 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified June 27 22:27 EDT 2022. Contains 354899 sequences. (Running on oeis4.)