

A121617


Numbers n such that A022521(n1) = n^5  (n1)^5 is prime.


7



2, 3, 6, 11, 17, 20, 25, 28, 31, 32, 35, 36, 42, 45, 47, 55, 58, 65, 67, 76, 79, 86, 88, 89, 100, 102, 105, 110, 111, 113, 121, 122, 145, 149, 166, 175, 179, 193, 198, 211, 218, 223, 226, 230, 240, 244, 245, 256, 262, 287, 292, 295, 297, 298, 300
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OFFSET

1,1


COMMENTS

The elements of A022521 are sometimes called Nexus number of order 5, see there.
The terms should have 1 subtracted, since indices of primes in A022521 are 1, 2, 5, 10, 16, 19, 24, 27, 30, 31, 34, 35, 41, 44, 46, ....  M. F. Hasler, Jan 27 2013
Corresponding Nexus Primes of order 5 (or primes of form (n+1)^5  n^5 = A022521(n)) are listed in A121616 = {31, 211, 4651, 61051, 371281, 723901, 1803001, 2861461, ...}.


LINKS

Robert Israel, Table of n, a(n) for n = 1..10000


MAPLE

select(t > isprime(t^5(t1)^5), [$1..1000]); # Robert Israel, Jul 10 2018


MATHEMATICA

Do[np5=n^5  (n1)^5; If[PrimeQ[np5], Print[n]], {n, 1, 100}]


PROG

(PARI) A121617(n, print_all=0)={for(k=2, 9e9, ispseudoprime(k^5(k1)^5) & !(print_all & print1(k", ")) & !n & return(k))} \\ M. F. Hasler, Feb 03 2013


CROSSREFS

Cf. A022521, A121616, A121618, A121619, A121620.
Sequence in context: A289434 A049794 A034031 * A157656 A059100 A131512
Adjacent sequences: A121614 A121615 A121616 * A121618 A121619 A121620


KEYWORD

nonn


AUTHOR

Alexander Adamchuk, Aug 10 2006


STATUS

approved



