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

Author

Enoch Haga, Oct 08 2007

Keywords

• easy
• nonn

Comments

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

Examples

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

Links

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

Crossrefs

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

Programs

Mathematica

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

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

Formula

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

Extensions

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