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A141455 Irregular triangle showing the set of all possible values of primes modulo n in row n. 1

%I #16 Apr 18 2022 22:35:11

%S 0,1,0,1,2,1,2,3,0,1,2,3,4,1,2,3,5,0,1,2,3,4,5,6,1,2,3,5,7,1,2,3,4,5,

%T 7,8,1,2,3,5,7,9,0,1,2,3,4,5,6,7,8,9,10,1,2,3,5,7,11,0,1,2,3,4,5,6,7,

%U 8,9,10,11,12,1,2,3,5,7,9,11,13,1,2,3,4,5,7,8,11,13,14,1,2,3,5,7,9,11,13,15

%N Irregular triangle showing the set of all possible values of primes modulo n in row n.

%H Michael De Vlieger, <a href="/A141455/b141455.txt">Table of n, a(n) for n = 2..10209</a> (rows n = 2..180, flattened)

%F Row n = A027748(n) U A038566(n), writing n as 0 iff n is prime. - _Michael De Vlieger_, Apr 18 2022

%e Table begins:0, 1;

%e 0, 1, 2;

%e 1, 2, 3;

%e 0, 1, 2, 3, 4;

%e 1, 2, 3, 5;

%e 0, 1, 2, 3, 4, 5, 6;

%e 1, 2, 3, 5, 7;

%e 1, 2, 3, 4, 5, 7, 8;

%e 1, 2, 3, 5, 7, 9;

%e 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10;

%e 1, 2, 3, 5, 7, 11;

%e 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12;

%e 1, 2, 3, 5, 7, 9, 11, 13;

%e 1, 2, 3, 4, 5, 7, 8, 11, 13, 14;

%e 1, 2, 3, 5, 7, 9, 11, 13, 15;

%e 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16;

%e 1, 2, 3, 5, 7, 11, 13, 17;

%e 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18;

%e 1, 2, 3, 5, 7, 9, 11, 13, 17, 19;

%t Table[Union[FactorInteger[n][[All, 1]] /. n -> 0, Select[Range[n - 1], CoprimeQ[n, #] &]], {n, 2, 15}] (* _Michael De Vlieger_, Apr 18 2022 *)

%Y Cf. A057859 (row lengths), A039701 (row n=3), A039704 (row n=6), A027748, A038566.

%K nonn,tabf

%O 2,5

%A _Roger L. Bagula_ and _Gary W. Adamson_, Aug 07 2008

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Last modified April 25 11:39 EDT 2024. Contains 371969 sequences. (Running on oeis4.)