A087776 Primes prime(k) such that -prime(k-2) + 2*prime(k-1) - 2*prime(k+1) + prime(k+2) == 0.

11, 13, 17, 73, 103, 107, 241, 337, 353, 373, 421, 491, 563, 593, 619, 683, 701, 709, 733, 743, 773, 977, 1051, 1103, 1433, 1487, 1571, 1607, 1789, 1861, 1873, 1993, 2011, 2143, 2287, 2383, 2543, 2677, 2693, 2753, 2803, 2917, 2927, 2953, 3359, 3389, 3407

Offset

3,1

Comments

A finite dual Laplacian sequence of primes.

Prime(k+2) - 2*prime(k+1) + prime(k) = prime(k-2) - 2*prime(k-1) + prime(k). A finite Laplacian at two points set equal to k+1 and k-1 over the primes. Almost but not quite equivalent to a finite third derivative.

Links

Table of n, a(n) for n=3..49.

Mathematica

digits=3000 e=Table[If[ -Prime[n-2]+2*Prime[n-1]-2*Prime[n+1]+Prime[n+2]==0, Prime[n], 0], {n, 3, digits}]; f=Delete[Union[e], 1]

Crossrefs

Cf. A087774, A087775.

Sequence in context: A019371 A068335 A306766 * A098031 A179208 A098423

Adjacent sequences: A087773 A087774 A087775 * A087777 A087778 A087779

Keyword

nonn

Author

Roger L. Bagula, Oct 04 2003

Status

approved