A139574 - OEIS

%I #17 Dec 15 2020 08:26:47

%S 4398046511104,109418989131512359209,227373675443232059478759765625,

%T 311973482284542371301330321821976049,

%U 54763699237492901685126120802225273763666521,61040881526285814362156628321386486455989674569

%N Numbers with 43 divisors.

%C 42nd powers of primes. The n-th number with p divisors is equal to the n-th prime raised to power p-1, where p is prime.

%H T. D. Noe, <a href="/A139574/b139574.txt">Table of n, a(n) for n = 1..1000</a>

%H OEIS Wiki, <a href="https://oeis.org/wiki/Index_entries_for_number_of_divisors">Index entries for number of divisors</a>

%F a(n)=A000040(n)^(43-1)=A000040(n)^42.

%t Prime[Range[9]]^42 (* _Vladimir Joseph Stephan Orlovsky_, May 05 2011 *)

%o (PARI) a(n)=prime(n)^42 \\ _Charles R Greathouse IV_, Jun 19 2016

%Y Cf. A000005, A000040, A001248, A030514, A030516, A030631, A030635, A030637, A137486, A137492, A139571, A139572, A139573, A139575.

%K nonn,easy

%O 1,1

%A _Omar E. Pol_, May 09 2008

%E More terms from _R. J. Mathar_, May 11 2008