A093575 Smallest prime of the form n^j+(n+1)^k, with j,k integer > 0, max(j,k)>1.

3, 7, 13, 29, 31, 43, 71, 73, 109, 131, 14653, 157, 2393, 211, 241, 83537, 307, 379, 419, 421, 463, 1013, 599, 601, 701, 19709, 757, 615497, 929, 991, 1049537, 2113, 1123, 1259, 2521, 51949, 1481, 1483, 3121, 1721, 1723, 3613, 1979, 2069, 2161, 4977017

Offset

1,1

Links

Table of n, a(n) for n=1..46.

Example

a(7)=71 because 7+8^2=71 is prime, whereas 7^2+8=57 is composite.

Crossrefs

Cf. A002383 primes of form n^2+n+1, A093574, A093576.

Sequence in context: A146432 A258349 A089726 * A080166 A116872 A161490

Adjacent sequences: A093572 A093573 A093574 * A093576 A093577 A093578

Keyword

nonn

Author

Hugo Pfoertner, Apr 01 2004

Status

approved