|
%I #14 Aug 23 2014 14:24:39
%S 2,3,11,5
%N Smallest prime of the form n^k + k, or 0 if no such prime exists.
%C a(5) > 5^18 +18 = 3814697265643. Conjecture: No entry is zero.
%C See A093324 for the values of k. The next term, a(5) = 5^7954+7954, has 5560 digits and is too large to display here. - _T. D. Noe_, Oct 05 2007
%C a(6)-a(10) are 7, 54116956037952111668959660883, 16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179109, 83, and 11, respectively. a(11) > 11^190000 + 190000. See A093324 for the k-values. - _Derek Orr_, Aug 08 2014
%o (PARI)
%o a(n)=for(k=1,8000,s=n^k+k;if(ispseudoprime(s),return(s)))
%o vector(10,n,a(n)) \\ _Derek Orr_, Aug 08 2014
%Y Cf. A093324.
%K nonn
%O 1,1
%A _Amarnath Murthy_ and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jun 15 2003
|
