A134100 Primes p > 3 such that neither p-2 nor p-4 are prime.

29, 37, 53, 59, 67, 79, 89, 97, 127, 137, 149, 157, 163, 173, 179, 191, 211, 223, 239, 251, 257, 263, 269, 277, 293, 307, 331, 337, 347, 359, 367, 373, 379, 389, 397, 409, 419, 431, 439, 449, 457, 479, 487, 499, 509, 521, 541, 547, 557, 563, 569, 577, 587

Offset

1,1

Comments

Upper primes after a prime gap of 6 or larger (Union of A031925, A031927, A031929, ...) - R. J. Mathar, Mar 15 2012

Links

Bill McEachen, Table of n, a(n) for n = 1..10000

Formula

a(n) ~ n log n. - Charles R Greathouse IV, Oct 27 2021

Example

29 is a term because 29 follows the odd nonprime 27 which in turn follows the odd nonprime 25.

Mathematica

Select[Range[5, 1000, 2], PrimeQ[#]&&!PrimeQ[#-2]&&!PrimeQ[#-4]&] (* Vladimir Joseph Stephan Orlovsky, Feb 03 2012 *)

Prog

(PARI) forprime(p=5, 600, if(!isprime(p-2) && !isprime(p-4), print1(p, ", "))); \\ Joerg Arndt, Oct 27 2021
(PARI) list(lim)=my(v=List(), p=23); forprime(q=29, lim, if(q-p>4, listput(v, q)); p=q); Vec(v) \\ Charles R Greathouse IV, Oct 27 2021

Crossrefs

Cf. A007510, A083370, A124582, A134099, A134101, A073830.

Sequence in context: A097997 A177873 A234973 * A060769 A355161 A031925

Adjacent sequences: A134097 A134098 A134099 * A134101 A134102 A134103

Keyword

easy,nonn

Author

Enoch Haga, Oct 08 2007

Extensions

Name corrected by Michel Marcus and Amiram Eldar, Oct 27 2021

Status

approved