

A049231


Primes p such that p  2 is squarefree.


5



3, 5, 7, 13, 17, 19, 23, 31, 37, 41, 43, 53, 59, 61, 67, 71, 73, 79, 89, 97, 103, 107, 109, 113, 131, 139, 151, 157, 163, 167, 179, 181, 193, 197, 199, 211, 223, 229, 233, 239, 241, 251, 257, 269, 271, 283, 293, 307, 311, 313, 331, 337, 347, 349, 359, 367, 373
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OFFSET

1,1


COMMENTS

This sequence is infinite and its relative density in the sequence of the primes is equal to 2 * Product_{p prime} (11/(p*(p1)) = 2 * A005596 = 0.747911... (Mirsky, 1949).  Amiram Eldar, Feb 27 2021


LINKS



FORMULA

Primes p such that abs(mu(p2)) = 1.


MATHEMATICA

Select[Prime[Range[100]], SquareFreeQ[#2]&] (* Harvey P. Dale, Mar 03 2018 *)


PROG

(PARI) isok(p) = isprime(p) && issquarefree(p2); \\ Michel Marcus, Dec 31 2013


CROSSREFS



KEYWORD

nonn


AUTHOR



EXTENSIONS



STATUS

approved



