A049282 - OEIS

A049282

Primes p such that both p-2 and p+2 are squarefree.

3, 5, 13, 17, 19, 31, 37, 41, 53, 59, 67, 71, 89, 103, 107, 109, 113, 131, 139, 157, 163, 179, 181, 193, 197, 199, 211, 229, 233, 239, 251, 257, 269, 271, 283, 293, 307, 311, 337, 347, 379, 383, 397, 401, 409, 419, 431, 433, 449, 463, 467, 487, 491, 499, 503

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

John Cerkan, Table of n, a(n) for n = 1..10000

FORMULA

Intersection of A049231 and A049233.

EXAMPLE

37 is here because neither 37+2 nor 37-2 is divisible by squares.

MAPLE

with(numtheory): A049282:=n->`if`(isprime(n) and issqrfree(n-2) and issqrfree(n+2), n, NULL): seq(A049282(n), n=1..10^3); # Wesley Ivan Hurt, Jun 25 2016

MATHEMATICA

lst={}; Do[p=Prime[n]; If[SquareFreeQ[p-2]&&SquareFreeQ[p+2], AppendTo[lst, p]], {n, 6!}]; lst (* Vladimir Joseph Stephan Orlovsky, Dec 20 2008 *)

PROG

(PARI) lista(nn) = forprime(p=2, nn, if (issquarefree(p-2) && issquarefree(p+2), print1(p, ", "))); \\ Michel Marcus, Jun 22 2016

CROSSREFS

Cf. A049231, A049233.

Sequence in context: A045411 A184796 A180944 * A003625 A105900 A260191

Adjacent sequences: A049279 A049280 A049281 * A049283 A049284 A049285

KEYWORD

nonn

AUTHOR

Labos Elemer

STATUS

approved