cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A084743 Smallest prime of the form n^k + k, or 0 if no such prime exists.

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%I A084743 #14 Aug 23 2014 14:24:39
%S A084743 2,3,11,5
%N A084743 Smallest prime of the form n^k + k, or 0 if no such prime exists.
%C A084743 a(5) > 5^18 +18 = 3814697265643. Conjecture: No entry is zero.
%C A084743 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 A084743 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 A084743 (PARI)
%o A084743 a(n)=for(k=1,8000,s=n^k+k;if(ispseudoprime(s),return(s)))
%o A084743 vector(10,n,a(n)) \\ _Derek Orr_, Aug 08 2014
%Y A084743 Cf. A093324.
%K A084743 nonn
%O A084743 1,1
%A A084743 _Amarnath Murthy_ and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jun 15 2003