

A239413


Numbers n such that n^55 is prime.


6



4, 12, 16, 42, 102, 124, 132, 144, 184, 232, 274, 288, 306, 316, 336, 352, 406, 438, 478, 582, 606, 622, 706, 742, 754, 762, 814, 832, 916, 922, 964, 984, 996, 1026, 1044, 1072, 1086, 1096, 1156, 1174, 1204, 1258, 1272, 1366, 1408, 1416, 1428, 1432, 1456
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OFFSET

1,1


COMMENTS

Note that all the numbers in this sequence are even.
There is no sequence "Numbers n such that n^44 is prime." since n^4  4 = (n^2 + 2)(n^2  2).  Michael B. Porter, Mar 18 2014


LINKS

Table of n, a(n) for n=1..49.


EXAMPLE

4^55 = 1019 is prime. Thus, 4 is a member of this sequence.


MATHEMATICA

Select[Range[1500], PrimeQ[#^55]&] (* Harvey P. Dale, Dec 30 2019 *)


PROG

(Python)
import sympy
from sympy import isprime
{print(n) for n in range(10**4) if isprime(n**55)}
(PARI) is(n)=isprime(n^55) \\ Charles R Greathouse IV, Feb 17 2017


CROSSREFS

Cf. A028870, A153974, A239343.
Sequence in context: A348342 A348273 A253122 * A327295 A066632 A038242
Adjacent sequences: A239410 A239411 A239412 * A239414 A239415 A239416


KEYWORD

nonn,easy


AUTHOR

Derek Orr, Mar 17 2014


STATUS

approved



