A174996 Triangle read by rows: T(n,k) = (prime(n)-1) mod prime(k).

1, 0, 2, 0, 1, 4, 0, 0, 1, 6, 0, 1, 0, 3, 10, 0, 0, 2, 5, 1, 12, 0, 1, 1, 2, 5, 3, 16, 0, 0, 3, 4, 7, 5, 1, 18, 0, 1, 2, 1, 0, 9, 5, 3, 22, 0, 1, 3, 0, 6, 2, 11, 9, 5, 28, 0, 0, 0, 2, 8, 4, 13, 11, 7, 1, 30, 0, 0, 1, 1, 3, 10, 2, 17, 13, 7, 5, 36, 0, 1, 0, 5, 7, 1, 6, 2, 17, 11, 9, 3, 40, 0, 0, 2, 0, 9, 3, 8, 4, 19, 13, 11, 5, 1, 42

Offset

1,3

Links

G. C. Greubel, Rows n = 1..50 of the triangle, flattened

Example

The triangle starts in row n=0 with columns 1<=k<= n as:
  1;
  0, 2;
  0, 1, 4;
  0, 0, 1, 6;
  0, 1, 0, 3, 10;
  0, 0, 2, 5,  1, 12;
  0, 1, 1, 2,  5,  3, 16;
  0, 0, 3, 4,  7,  5,  1, 18;
  0, 1, 2, 1,  0,  9,  5,  3, 22;
  0, 1, 3, 0,  6,  2, 11,  9,  5, 28;

Mathematica

Flatten[Table[Mod[Prime[n]-1, Prime[k]], {n, 15}, {k, n}]]  (* Harvey P. Dale, Apr 23 2011 *)

Prog

(Magma)
[(NthPrime(n)-1) mod NthPrime(k): k in [1..n], n in [1..15]]; // G. C. Greubel, Apr 12 2024
(SageMath)
flatten([[(nth_prime(n)-1)%nth_prime(k) for k in range(1, n+1)] for n in range(1, 16)]) # G. C. Greubel, Apr 12 2024

Crossrefs

Cf. A006093, A173655, A173662, A174428, A174947, A175620, A176066, A177226.

Sequence in context: A152837 A182036 A334173 * A286815 A256276 A257920

Adjacent sequences: A174993 A174994 A174995 * A174997 A174998 A174999

Keyword

nonn,tabl

Author

Juri-Stepan Gerasimov, Dec 02 2010

Status

approved