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.

A280347 Numbers with 83 divisors.

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%I A280347 #9 Jan 02 2017 04:35:14
%S A280347 4835703278458516698824704,1330279464729113309844748891857449678409,
%T A280347 2067951531382569187178521730174907133914530277252197265625,
%U A280347 1986274564260074954771227439341817016242885890299592103563430267952049,24785642596484137367310393918366845247634028377292875541962916350799472426091085092921
%N A280347 Numbers with 83 divisors.
%C A280347 Also, 82nd powers of primes.
%C A280347 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 = 83.
%H A280347 OEIS Wiki, <a href="https://oeis.org/wiki/Index_entries_for_number_of_divisors">Index entries for number of divisors</a>
%F A280347 a(n) = A000040(n)^(83-1) = A000040(n)^82.
%F A280347 A000005(a(n)) = 83.
%e A280347 a(1) = 2^82, a(2) = 3^82, a(3) = 5^82, a(4) = 7^82, a(5) = 11^82.
%t A280347 With[{p = 23}, Table[Prime[n]^(Prime@ p - 1), {n, 5}]] (* _Michael De Vlieger_, Jan 01 2017 *)
%o A280347 (PARI) a(n)=prime(n)^82
%Y A280347 Cf. A000005, A000040, A001248, A030514, A030516, A030629, A030631, A030635, A030637, A137486, A137492, A139571, A139572, A139573, A139574, A139575, A173533, A183062, A183085, A280298, A280299, A280301, A280346, A280349, A261700.
%K A280347 nonn,easy
%O A280347 1,1
%A A280347 _Omar E. Pol_, Jan 01 2017