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Least k such that k*p(n)!/p(n)# -1 is prime starting with n=3,(p(i)=i-th prime).
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%I #4 Mar 31 2012 13:22:05

%S 1,1,3,5,1,7,2,4,18,12,15,5,33,16,7,46,60,35,1,87,74,5,3,19,3,23,17,

%T 55,13,105,19,48,108,50,7,37,100,111,23,50,22,80,7,73,39,24,74,51,164,

%U 21,125,62

%N Least k such that k*p(n)!/p(n)# -1 is prime starting with n=3,(p(i)=i-th prime).

%e 3*2*3*4*5*6*7*8*9*10*11/(2*3*5*7*11) -1 = 51839 prime so k(5)=3 as p(5)=11

%K nonn

%O 3,3

%A _Pierre CAMI_, Nov 25 2006