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A093574 Smallest prime of the form n^j+(n+1)^k, with j,k integer > 0. 2
3, 5, 7, 29, 11, 13, 71, 17, 19, 131, 23, 157, 2393, 29, 31, 83537, 307, 37, 419, 41, 43, 1013, 47, 601, 701, 53, 757, 615497, 59, 61, 1049537, 2113, 67, 1259, 71, 73, 1481, 1483, 79, 1721, 83, 3613, 1979, 89, 2161, 4977017, 2351, 97, 2549, 101, 103, 2861 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Proposed by Leroy Quet, Mar 29 2004. Extended by R. K. Guy and Hugo Pfoertner. Every odd prime occurs at least once at positions given by A005097.

LINKS

Table of n, a(n) for n=1..52.

EXAMPLE

a(4)=29 because 4^1+5^2=29 is prime, whereas 4^1+5^1=9, 4^2+5=21 are composite.

CROSSREFS

Cf. A005097, A000040, A093575, A093576.

Sequence in context: A083518 A061944 A288924 * A076846 A046931 A154551

Adjacent sequences:  A093571 A093572 A093573 * A093575 A093576 A093577

KEYWORD

nonn

AUTHOR

Hugo Pfoertner, Apr 01 2004

STATUS

approved

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Last modified November 27 15:33 EST 2020. Contains 338683 sequences. (Running on oeis4.)