A086800 Triangle read by rows in which row n lists differences between prime(n) and prime(k) for 1 <= k <= n.

0, 1, 0, 3, 2, 0, 5, 4, 2, 0, 9, 8, 6, 4, 0, 11, 10, 8, 6, 2, 0, 15, 14, 12, 10, 6, 4, 0, 17, 16, 14, 12, 8, 6, 2, 0, 21, 20, 18, 16, 12, 10, 6, 4, 0, 27, 26, 24, 22, 18, 16, 12, 10, 6, 0, 29, 28, 26, 24, 20, 18, 14, 12, 8, 2, 0, 35, 34, 32, 30, 26, 24, 20, 18, 14, 8, 6, 0

Offset: 1

Author

Cino Hilliard, Aug 05 2003

Keywords

• easy
• tabl
• nonn

Comments

Primes in this sequence are of course twin primes.

Examples

			2-2=0; 3-2=1, 3-3=0; 5-2=3, 5-3=2, 5=5=5; 7-2=5, 7-3=4, 7-5=2, 7-7=0, ...
Triangle begins:
  0;
  1, 0;
  3, 2, 0;
  5, 4, 2, 0;
  9, 8, 6, 4, 0;
  11, 10, 8, 6, 2, 0;
  15, 14, 12, 10, 6, 4, 0;
  17, 16, 14, 12, 8, 6, 2, 0;
		

Links

• Michel Marcus, Rows n=1..100 of triangle, flattened

Crossrefs

Cf. A040976 (1st column).

Programs

PARI

fn(n) = forprime(x=2,n, forprime(y=2,x,print1(x-y",")))

PARI

T(n, k) = prime(n) - prime(k);
tabl(nn) = for (n=1, nn, for (k=1, n, print1(T(n, k), ", ")); print); \\ Michel Marcus, Aug 08 2017

Extensions

Offset corrected by Michel Marcus, Aug 08 2017