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Smallest multiple of prime(n) of the form r*prime(n-1) + s*prime(n+1). r and s are positive integers.
1

%I #5 Dec 15 2017 17:41:10

%S 9,10,21,33,39,51,57,115,116,124,185,123,129,235,106,236,244,335,213,

%T 292,395,415,623,291,303,309,321,327,1017,1143,655,548,834,894,604,

%U 314,815,835,346,716,1086,1146,579,591,1393,422,892,681,687,1165,956,1446

%N Smallest multiple of prime(n) of the form r*prime(n-1) + s*prime(n+1). r and s are positive integers.

%e a(1) = 1*2 + 2*5 = 12 = 4*3 = 4* prime(2). r = 1 and s = 2 both r and s are positive integers.

%e a(9) = 1*23 + 3*31 =116 =4*29 = 4*prime(10).

%Y Cf. A085950.

%K nonn

%O 2,1

%A _Amarnath Murthy_ and _Jason Earls_, Jul 15 2003

%E Corrected and extended by _David Wasserman_, Feb 15 2005