The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A178228 Numbers k such that (k^3 - 2, k^3 + 2) is a pair of cousin primes (see A178227). 6
 129, 189, 369, 435, 549, 555, 561, 819, 1245, 1491, 1719, 1779, 1839, 1875, 1935, 2175, 2289, 2415, 2451, 2595, 2709, 2769, 3141, 3441, 4401, 4611, 4851, 5655, 5775, 6075, 6099, 6795, 6969, 7125, 7239, 7365, 8109, 8139, 8325, 8361, 8385, 8535, 8685, 9591, 9765 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Necessarily k is an odd multiple of 3, Least significant digit of k is e = 1, 5 or 9 (3^3 - 2, 7^3 + 2 are multiples of 5). LINKS Amiram Eldar, Table of n, a(n) for n = 1..10000 EXAMPLE 189 is a term since 189^3 - 2 = 6751267 = prime(460792), 189^3 + 2 = 6751271 = prime(460793). 12471 is a term since 12471^3 - 2 = 1939562763109 = prime(i), i = 71166976775, 12471^3 + 2 = 1939562763113 = prime(i+1). MATHEMATICA Select[Range[10^4], And @@ PrimeQ[#^3 + {-2, 2}] &] (* Amiram Eldar, Dec 24 2019 *) PROG (PARI) for(n=1, 10000, my(p1=n^3-2, p2=n^3+2); if(isprime(p1)&&isprime(p2)&&ispower((p1+p2)/2, 3), print1(n, ", "))) \\ Hugo Pfoertner, Dec 24 2019 CROSSREFS Cf. A023200, A046132, A090121, A164834, A172494, A174370, A176130, A176229, A178227. Sequence in context: A127337 A185347 A034072 * A235879 A157951 A043383 Adjacent sequences:  A178225 A178226 A178227 * A178229 A178230 A178231 KEYWORD nonn AUTHOR Ulrich Krug (leuchtfeuer37(AT)gmx.de), May 23 2010 EXTENSIONS Edited by N. J. A. Sloane, May 23 2010 a(1) and a(21) inserted by Amiram Eldar, Dec 24 2019 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 November 29 04:38 EST 2021. Contains 349416 sequences. (Running on oeis4.)