A207409 Triangular array: T(k,j)=prime(k)(mod prime(j)), 1<=j<k.

1, 1, 2, 1, 1, 2, 1, 2, 1, 4, 1, 1, 3, 6, 2, 1, 2, 2, 3, 6, 4, 1, 1, 4, 5, 8, 6, 2, 1, 2, 3, 2, 1, 10, 6, 4, 1, 2, 4, 1, 7, 3, 12, 10, 6, 1, 1, 1, 3, 9, 5, 14, 12, 8, 2, 1, 1, 2, 2, 4, 11, 3, 18, 14, 8, 6, 1, 2, 1, 6, 8, 2, 7, 3, 18, 12, 10, 4, 1, 1, 3, 1, 10, 4, 9, 5, 20, 14, 12, 6, 2, 1

Offset

1,3

Comments

Top edge: A001223

Row sums: A033955

Row maxs: A039731

Links

Robert Israel, Table of n, a(n) for n = 1..10011 (first 141 rows, flattened)

Example

Top 7 rows:
1............. 3 mod 2
1 2............5 mod 2, 5 mod 3
1 1 2..........7 mod 2, 7 mod 3, 7 mod 4
1 2 1 4
1 1 3 6 2
1 2 2 3 6 4
1 1 4 5 8 6 2

Maple

P := select(isprime, [$1..100]):
seq(seq(P[k] mod P[j], j=1..k-1), k=1..nops(P)); # Robert Israel, May 01 2017

Mathematica

t = Table[Mod[Prime[k + 1], Prime[j]], {k, 1, 15},
{j, 1, k }];
Flatten[t]   (* A207409 as a sequence *)
TableForm[t] (* A207409 as a triangle *)

Crossrefs

Cf. A000040.

Sequence in context: A049843 A131374 A360286 * A013632 A080121 A122901

Adjacent sequences: A207406 A207407 A207408 * A207410 A207411 A207412

Keyword

nonn,tabl

Author

Clark Kimberling, Feb 17 2012

Status

approved