login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

Smallest prime of the form n^j+(n+1)^k, with j,k integer > 0, max(j,k)>1.
2

%I #2 Mar 31 2012 10:29:04

%S 3,7,13,29,31,43,71,73,109,131,14653,157,2393,211,241,83537,307,379,

%T 419,421,463,1013,599,601,701,19709,757,615497,929,991,1049537,2113,

%U 1123,1259,2521,51949,1481,1483,3121,1721,1723,3613,1979,2069,2161,4977017

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

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

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

%K nonn

%O 1,1

%A _Hugo Pfoertner_, Apr 01 2004