

A281047


Numbers n such that abs(n  4^k) is prime for k = 1..8.


2



483, 525, 635, 2015, 2043, 3335, 3575, 4275, 10317, 14955, 17855, 22547, 49433, 51695, 52773, 79877, 125807, 132725, 176417, 242073, 314177, 451937, 463517, 590663, 598793, 707817, 795143, 798335, 963815, 994565, 1095465
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OFFSET

1,1


LINKS

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000
José Camacho Medina, Cadenas de Numeros Primos (in Spanish).


FORMULA

a(n) >> n log^8 n.  Charles R Greathouse IV, Jan 13 2017


EXAMPLE

For n = 483, the primes are {479, 467, 419, 227, 541, 3613, 15901, 65053}.


MATHEMATICA

Select[Range[11*10^5], AllTrue[Abs[#4^Range[8]], PrimeQ]&] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Jul 28 2020 *)


PROG

(PARI) is(n)=for(k=1, 8, if(!isprime(abs(n4^k)), return(0))); 1 \\ Charles R Greathouse IV, Jan 13 2017


CROSSREFS

Sequence in context: A263291 A121734 A260976 * A158330 A288082 A251625
Adjacent sequences: A281044 A281045 A281046 * A281048 A281049 A281050


KEYWORD

nonn


AUTHOR

José de Jesús Camacho Medina, Jan 13 2017


EXTENSIONS

More terms from Charles R Greathouse IV, Jan 13 2017


STATUS

approved



