cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A280349 Numbers with 89 divisors.

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%I A280349 #6 Jan 02 2017 04:35:22
%S A280349 309485009821345068724781056,
%T A280349 969773729787523602876821942164080815560161,
%U A280349 32311742677852643549664402033982923967414535582065582275390625,233683216210633558353880137011125430143959282107856711392134007594290612801,43909277783870034878569768760415886733743786946105343887995366053338664170638348798300219681
%N A280349 Numbers with 89 divisors.
%C A280349 Also, 88th powers of primes.
%C A280349 More generally, the n-th number with p divisors is equal to the n-th prime raised to power p-1, where p is prime. In this case, p = 89.
%H A280349 OEIS Wiki, <a href="https://oeis.org/wiki/Index_entries_for_number_of_divisors">Index entries for number of divisors</a>
%F A280349 a(n) = A000040(n)^(89-1) = A000040(n)^88.
%F A280349 A000005(a(n)) = 89.
%e A280349 a(1) = 2^88, a(2) = 3^88, a(3) = 5^88, a(4) = 7^88, a(5) = 11^88.
%t A280349 With[{p = 24}, Table[Prime[n]^(Prime@ p - 1), {n, 5}]] (* _Michael De Vlieger_, Jan 01 2017 *)
%o A280349 (PARI) a(n)=prime(n)^88
%Y A280349 Cf. A000005, A000040, A001248, A030514, A030516, A030629, A030631, A030635, A030637, A137486, A137492, A139571, A139572, A139573, A139574, A139575, A173533, A183062, A183085, A280298, A280299, A280301, A280346, A280347, A261700.
%K A280349 nonn,easy
%O A280349 1,1
%A A280349 _Omar E. Pol_, Jan 01 2017