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A139572 Numbers with 37 divisors. 19

%I #19 Jun 19 2016 02:51:05

%S 68719476736,150094635296999121,14551915228366851806640625,

%T 2651730845859653471779023381601,

%U 30912680532870672635673352936887453361,12646218552730347184269489080961456410641

%N Numbers with 37 divisors.

%C 36th 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="/A139572/b139572.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)^(37-1) = A000040(n)^36.

%p A139572 := proc(n) ithprime(n)^36 ; end proc: seq(A139572(n),n=1..10) ; # _R. J. Mathar_, Feb 05 2010

%t Prime[Range[10]]^36 (* _Vladimir Joseph Stephan Orlovsky_, May 05 2011 *)

%o (PARI) a(n)=prime(n)^36 \\ _Charles R Greathouse IV_, Jun 19 2016

%Y Cf. A000005, A000040, A001248, A030514, A030516, A030629, A030631, A030635, A030637, A137486, A137492, A139571, A139573.

%K nonn,easy

%O 1,1

%A _Omar E. Pol_, May 07 2008

%E More terms from _R. J. Mathar_, Feb 05 2010

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Last modified April 19 07:38 EDT 2024. Contains 371782 sequences. (Running on oeis4.)