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 A137609 Consider a line in n-space given parametrically by y(t)=v*t, where v is the vector (2,3,5,..prime(n)). Let t0>0 be the least value of t such that y(t0) is closest to an integer point not on the line y(t). a(n) is t0 times v.v. 1

%I

%S 5,15,36,91,145,305,476,729,408,1295,1796,1072,1370,1749,2226,2816,

%T 3426,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,

%U 151,157,163,167,173,179,181,191,193,197,199,211,223,227,229

%N Consider a line in n-space given parametrically by y(t)=v*t, where v is the vector (2,3,5,..prime(n)). Let t0>0 be the least value of t such that y(t0) is closest to an integer point not on the line y(t). a(n) is t0 times v.v.

%C See A059804 for the distance from y(t0) to the integer point. Observe that for n >= 19, a(n) = prime(n). For n >= 19, the closest integer point is (0,0,0,..,0,1).

%K nonn

%O 2,1

%A _T. D. Noe_, Jan 29 2008

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