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.

A343734 Highly composite 5-rough numbers: numbers that are divisible by neither 2 nor 3 whose number of divisors reaches a record.

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%I A343734 #11 Jun 30 2022 05:57:12
%S A343734 1,5,25,35,175,385,1225,1925,5005,13475,25025,85085,175175,425425,
%T A343734 1616615,2977975,8083075,32757725,37182145,56581525,185910725,
%U A343734 622396775,929553625,1301375075,4647768125,5391411025,14315125825,26957055125,37739877175,134785275625
%N A343734 Highly composite 5-rough numbers: numbers that are divisible by neither 2 nor 3 whose number of divisors reaches a record.
%H A343734 Amiram Eldar, <a href="/A343734/b343734.txt">Table of n, a(n) for n = 1..208</a>
%e A343734                                            number of
%e A343734                                            divisors
%e A343734    n   a(n)  prime factorization of a(n)    of a(n)
%e A343734   --  -----  ----------------------------  ---------
%e A343734    1      1  -                                  1
%e A343734    2      5  5                                  2
%e A343734    3     25  5^2                                3
%e A343734    4     35  5   * 7                            4
%e A343734    5    175  5^2 * 7                            6
%e A343734    6    385  5   * 7   * 11                     8
%e A343734    7   1225  5^2 * 7^2                          9
%e A343734    8   1925  5^2 * 7   * 11                    12
%e A343734    9   5005  5   * 7   * 11   * 13             16
%e A343734   10  13475  5^2 * 7^2 * 11                    18
%e A343734   11  25025  5^2 * 7   * 11   * 13             24
%e A343734   12  85085  5   * 7   * 11   * 13   * 17      32
%Y A343734 Cf. A000005, A002182, A007310, A053624.
%K A343734 nonn
%O A343734 1,2
%A A343734 _Jon E. Schoenfield_, Jun 14 2021