

A213428


Numbers n such that n^8  prime(n) is prime.


1



6, 10, 12, 60, 72, 168, 174, 190, 204, 230, 290, 300, 396, 536, 628, 948, 972, 990, 1014, 1042, 1050, 1174, 1254, 1324, 1326, 1428, 1566, 1602, 1662, 1684, 1808, 1854, 1866, 1942, 1950, 2070, 2154, 2170, 2206, 2214, 2234, 2332, 2388, 2508, 2660, 2668, 2784
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OFFSET

1,1


COMMENTS

This is to 8 as A212883 is to 4, A212881 is to 3, and A064712 is to 2. No more values through 200.


LINKS

Table of n, a(n) for n=1..47.


FORMULA

n such that A001016(n)  A000040(n) is in A000040.


EXAMPLE

a(1) = 6 because 6^8  prime(6) = 1679603 is prime. a(2) = 10 because 10^8  prime(10) = 99999971 is prime. a(4) = 60 because 60^8  prime(60) = 167961599999719 is prime.


MATHEMATICA

Select[Range[3000], PrimeQ[#^8  Prime[#]] &] (* T. D. Noe, Jun 11 2012 *)


CROSSREFS

Cf. A001016, A064712, A212881, A212883.
Sequence in context: A074924 A064166 A107371 * A006187 A288222 A004234
Adjacent sequences: A213425 A213426 A213427 * A213429 A213430 A213431


KEYWORD

nonn,easy


AUTHOR

Jonathan Vos Post, Jun 11 2012


STATUS

approved



