This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A243817 Primes p for which p - 4 and p^3 - 4 are primes. 3
 11, 17, 23, 41, 83, 101, 131, 227, 311, 383, 491, 503, 773, 827, 881, 887, 971, 1097, 1283, 1301, 1451, 1493, 1877, 2141, 2243, 2273, 2351, 2687, 2861, 2957, 3533, 3881, 3947, 4007, 4517, 4643, 5231, 5237, 5573, 5741, 6203, 7211, 7541, 7883, 7937, 8741, 9137, 9551, 10337, 11447 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS This is a subsequence of A046132: Larger member p+4 of cousin primes (p, p+4). LINKS Abhiram R Devesh, Table of n, a(n) for n = 1..1000 EXAMPLE p = 11 is in this sequence because p - 4 = 7  (prime) and p^3 - 4 = 1327 (prime). p = 17 is in this sequence because p - 4 = 13  (prime) and p^3 - 4 = 4909 (prime). PROG (Python) import sympy.ntheory as snt n=5 while n>1: ....n1=n-4 ....n2=((n**3)-4) ....##Check if n1 and n2 are also primes. ....if snt.isprime(n1)== True and snt.isprime(n2)== True: ........print(n, n1, n2) ....n=snt.nextprime(n) CROSSREFS Cf. A046132. Sequence in context: A099722 A031505 A094524 * A098412 A261918 A136342 Adjacent sequences:  A243814 A243815 A243816 * A243818 A243819 A243820 KEYWORD nonn,easy AUTHOR Abhiram R Devesh, Jun 11 2014 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified September 19 23:31 EDT 2019. Contains 327207 sequences. (Running on oeis4.)