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.

A306877 Lexicographically earliest sequence of distinct positive terms such that, for any n > 0, among the prime divisors of n * a(n) there are at least 4 runs of consecutive prime numbers.

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%I A306877 #16 Mar 21 2019 04:37:50
%S A306877 1870,935,1729,1045,374,2093,494,1235,2639,187,170,2737,190,247,4301,
%T A306877 1265,110,2821,130,209,299,85,182,3367,418,95,3451,377,220,5423,230,
%U A306877 1495,391,55,598,3458,238,65,133,253,260,403,266,115,5797,91,273,3689,741,319
%N A306877 Lexicographically earliest sequence of distinct positive terms such that, for any n > 0, among the prime divisors of n * a(n) there are at least 4 runs of consecutive prime numbers.
%C A306877 This sequence is a variant of A285744 and of A306864.
%C A306877 This sequence is a self-inverse permutation of the natural numbers.
%H A306877 Rémy Sigrist, <a href="/A306877/b306877.txt">Table of n, a(n) for n = 1..30000</a>
%H A306877 Rémy Sigrist, <a href="/A306877/a306877.gp.txt">PARI program for A306877</a>
%H A306877 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F A306877 A287170(n * a(n)) >= 4.
%e A306877 The first terms, alongside the corresponding runs, are:
%e A306877   n   a(n)  runs in n*a(n)
%e A306877   --  ----  --------------
%e A306877    1  1870  2, 5, 11, 17
%e A306877    2   935  2, 5, 11, 17
%e A306877    3  1729  3, 7, 13, 19
%e A306877    4  1045  2, 5, 11, 19
%e A306877    5   374  2, 5, 11, 17
%e A306877    6  2093  2-3, 7, 13, 23
%e A306877    7   494  2, 7, 13, 19
%e A306877    8  1235  2, 5, 13, 19
%e A306877    9  2639  3, 7, 13, 29
%e A306877   10   187  2, 5, 11, 17
%e A306877   11   170  2, 5, 11, 17
%e A306877   12  2737  2-3, 7, 17, 23
%e A306877   13   190  2, 5, 13, 19
%e A306877   14   247  2, 7, 13, 19
%e A306877   15  4301  3-5, 11, 17, 23
%e A306877   16  1265  2, 5, 11, 23
%o A306877 (PARI) See Links section.
%Y A306877 Cf. A285744, A287170, A306864.
%K A306877 nonn,look
%O A306877 1,1
%A A306877 _Rémy Sigrist_, Mar 14 2019