A113911 Prime numbers not appearing in the nextprime(x^2) sequence A007491.
3, 7, 13, 19, 23, 31, 41, 43, 47, 59, 61, 71, 73, 79, 89, 97, 103, 107, 109, 113, 131, 137, 139, 151, 157, 163, 167, 179, 181, 191, 193, 199, 211, 223, 229, 233, 239, 241, 251, 263, 269, 271, 277, 281, 283, 307, 311, 313, 317, 337, 347, 349, 353, 359, 373, 379
Offset: 1
Programs
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Mathematica
Complement[ Prime@Range@75, Prime[ PrimePi[ Range@19^2] + 1]] (* Robert G. Wilson v *)
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PARI
is(n)=isprime(n)&&n>nextprime(sqrtint(n)^2) \\ Charles R Greathouse IV, Apr 09 2013
Formula
a(n) ~ n log n. - Charles R Greathouse IV, Apr 09 2013
Extensions
More terms from Robert G. Wilson v, Jan 30 2006