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A078561 p, p+4 and p+10 are consecutive primes. 5
19, 43, 79, 127, 163, 229, 349, 379, 439, 499, 643, 673, 937, 967, 1009, 1093, 1213, 1279, 1429, 1489, 1549, 1597, 1609, 2203, 2347, 2389, 2437, 2539, 2689, 2833, 2953, 3079, 3319, 3529, 3613, 3793, 3907, 3919, 4003, 4129, 4447, 4639, 4789, 4933, 4999 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Subsequence of A029710. - R. J. Mathar, May 06 2017

LINKS

R. J. Mathar, Table of n, a(n) for n = 1..1000

EXAMPLE

Between p and p+10 [46] difference-pattern: 19(4)23(6)29;

MATHEMATICA

Select[Prime@ Range[10^3], Differences@ NestList[NextPrime, #, 2] == {4, 6} &] (* Michael De Vlieger, May 06 2017 *)

Select[Partition[Prime[Range[700]], 3, 1], Differences[#]=={4, 6}&][[All, 1]] (* Harvey P. Dale, Mar 24 2018 *)

PROG

(PARI) isok(p) = isprime(p) && (nextprime(p+1) == p+4) && (nextprime(p+5) == p+10); \\ Michel Marcus, Dec 20 2013

(PARI) is(n)=isprime(n) && isprime(n+4) && isprime(n+10) && !isprime(n+6) && n>3 \\ Charles R Greathouse IV, Dec 20 2013

CROSSREFS

Cf. analogous inter-prime d-patterns with d<=6: A022004[24], A022005[42], A049437[26], A049438[62], A078561[46], A078562[64], A047948[66].

Sequence in context: A155770 A153169 A090797 * A074222 A054820 A165567

Adjacent sequences:  A078558 A078559 A078560 * A078562 A078563 A078564

KEYWORD

nonn

AUTHOR

Labos Elemer, Dec 10 2002

STATUS

approved

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Last modified September 29 12:57 EDT 2022. Contains 357090 sequences. (Running on oeis4.)