%I A073917
%S A073917 3,7,31,211,2311,120121,4084081,106696591,892371481,71166625531,
%T A073917 200560490131,29682952539241,2129751844690471,78496567990020181,
%U A073917 8608456956238879741,97767475431570134191,9613801750771063195351
%N A073917 Smallest prime which leaves a remainder 1 when divided by primorial(n), 
               i.e. when divided by first n primes.
%C A073917 Let Pr(n)= the product of first n primes. Then a(n) is the smallest prime 
               of the form k*Pr(n) + 1. k = 1 for first five terms.
%H A073917 T. D. Noe, <a href="b073917.txt">Table of n, a(n) for n=1..150</a>
%o A073917 (PARI) a(n)=if(n<0,0,s=1; while(prime(s)%prod(i=1,n, prime(i))>1,s++); 
               s)
%Y A073917 Cf. A073915.
%Y A073917 Sequence in context: A093441 A087864 A066676 this_sequence A030521 A105767 
               A063896
%Y A073917 Adjacent sequences: A073914 A073915 A073916 this_sequence A073918 A073919 
               A073920
%Y A073917 Cf. A076689 (values of k)
%K A073917 nonn
%O A073917 1,1
%A A073917 Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 18 2002
%E A073917 More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 20 2002