

A049282


Primes p such that both p2 and p+2 are squarefree.


10



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
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OFFSET

1,1


LINKS



FORMULA



EXAMPLE

37 is here because neither 37+2 nor 372 is divisible by squares.


MAPLE

with(numtheory): A049282:=n>`if`(isprime(n) and issqrfree(n2) and issqrfree(n+2), n, NULL): seq(A049282(n), n=1..10^3); # Wesley Ivan Hurt, Jun 25 2016


MATHEMATICA



PROG

(PARI) lista(nn) = forprime(p=2, nn, if (issquarefree(p2) && issquarefree(p+2), print1(p, ", "))); \\ Michel Marcus, Jun 22 2016


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



