|
%I #19 Jun 24 2016 14:53:26
%S 1267650600228229401496703205376,
%T 515377520732011331036461129765621272702107522001,
%U 7888609052210118054117285652827862296732064351090230047702789306640625,3234476509624757991344647769100216810857203198904625400933895331391691459636928060001
%N Numbers with 101 divisors.
%C Also, 100th powers of primes.
%C The n-th number with p divisors is equal to the n-th prime raised to power p-1, where p is prime.
%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)^(101-1) = A000040(n)^100.
%F A000005(a(n)) = 101.
%e a(1) = 2^100, a(2) = 3^100, a(3) = 5^100, a(4) = 7^100.
%o (PARI) a(n)=prime(n)^100 \\ _Charles R Greathouse IV_, Jun 19 2016
%Y Cf. A000005, A000040, A001248, A030514, A030516, A030629, A030631, A030635, A030637, A137486, A137492, A139571, A139572, A139573, A139574, A139575, A173533, A183062, A183085.
%K nonn,easy
%O 1,1
%A _Omar E. Pol_, Aug 28 2015
|
