%I #5 Sep 01 2013 08:32:40
%S 5,37,211,251,32467,96377,96377,5647409,12285587,202924901,3916407479
%N a(n) is the smallest prime of earlier set of n consecutive good primes version 1 (see A046869).
%D Puzzle 273 of The Prime puzzles & Problem connection (www.primepuzzles.net).
%H Carlos. Rivera <a href="http://www.primepuzzles.net/puzzles/puzz_273.htm">Consecutive 'good' primes</a>
%e A good prime (version 1) is a prime p=prime(n) such that prime(n)^2 > prime(n-1)*prime(n+1), so 5 is a good prime because 5=prime(3); prime(2)=3; prime(4)=7 & 5^2 > 3*7.
%e a(11)=3916407479 because the 11 consecutive primes 3916407479, 3916407527, 3916407569, 3916407611, 3916407653, 3916407679, 3916407697, 3916407713, 3916407727, 3916407739 & 3916407751 are good primes and 3916407479 is the smallest prime with this property.
%Y Cf. A046869, A028388, A096473.
%K more,nonn
%O 1,1
%A _Enoch Haga_ and _Farideh Firoozbakht_, Jul 12 2004
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