A086800 - OEIS

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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

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,4

COMMENTS

Primes in this sequence are of course twin primes.

LINKS

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

EXAMPLE

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, ...

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;

PROG

(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

CROSSREFS

Cf. A040976 (1st column).

Sequence in context: A021316 A092092 A308179 * A326296 A246773 A359843

Adjacent sequences: A086797 A086798 A086799 * A086801 A086802 A086803

KEYWORD

easy,tabl,nonn

AUTHOR

Cino Hilliard, Aug 05 2003

EXTENSIONS

Offset corrected by Michel Marcus, Aug 08 2017

STATUS

approved