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.

A357376 The lowest number on Ulam Spiral for which all numbers in the square which is centered at a(n) and spans n-1 spaces in each cardinal direction are nonprime.

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%I A357376 #37 Nov 06 2022 09:05:24
%S A357376 1,26,1016,5136,39639,203100,2729736,32264250,42119062,1065799391,
%T A357376 12444190246
%N A357376 The lowest number on Ulam Spiral for which all numbers in the square which is centered at a(n) and spans n-1 spaces in each cardinal direction are nonprime.
%C A357376 The n-th term creates a (2*n-1) X (2*n-1) square centered at a(n).
%H A357376 Samuel Harkness, <a href="/A357376/a357376.jpg">Illustration of terms 1 through 4</a>
%H A357376 Rémy Sigrist, <a href="/A357376/a357376.txt">C++ program</a>
%e A357376 For n=2, test squares with 1 layer of numbers around the center number until a square is enclosed with only nonprimes.
%e A357376 .
%e A357376    65   64   63   62   61   60   59   58   57
%e A357376 .
%e A357376    66   37   36   35   34   33   32   31   56
%e A357376 .
%e A357376    67   38   17   16   15   14   13   30   55
%e A357376 .
%e A357376    68   39   18    5    4    3   12   29   54
%e A357376 .
%e A357376    69   40   19    6    1    2   11   28   53
%e A357376 .                              +--------------+
%e A357376    70   41   20    7    8    9 | 10   27   52 |
%e A357376 .                              |              |
%e A357376    71   42   21   22   23   24 | 25   26   51 |
%e A357376 .                              |              |
%e A357376    72   43   44   45   46   47 | 48   49   50 |
%e A357376 .                              +--------------+
%e A357376    73   74   75   76   77   78   79   80   81
%e A357376 .
%e A357376 The first number tested, 1, does not work because 2, 3, 5 and 7 are in the 1-layered square and are prime. The first square that works is 26 because 10, 27, 52, 25, 26, 51, 48, 49, and 50 are all nonprime.
%o A357376 (C++) See Links section.
%Y A357376 Cf. A000040, A115258, A136626, A225073.
%K A357376 nonn,more
%O A357376 1,2
%A A357376 _Samuel Harkness_, Sep 26 2022
%E A357376 a(8)-a(11) from _Rémy Sigrist_, Sep 27 2022