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Smallest prime formed by concatenating n consecutive Fibonacci numbers.
1

%I #13 Feb 15 2014 02:33:07

%S 2,11,5813,1123,235813,

%T 67989163763861225811000877783661019311779979416004714189288006719437081612046600466103755303097540113804746346429

%N Smallest prime formed by concatenating n consecutive Fibonacci numbers.

%C The next term has 630 digits. - _Harvey P. Dale_, Jun 15 2011

%e a(3) = 5813 because 5813 is the smallest prime formed from concatenation of 3 consecutive Fibonacci numbers, namely 5, 8, and 13.

%t With[{fibs=Fibonacci[Range[800]]}, Table[First[Select[ FromDigits[ Flatten[ IntegerDigits[#]]]& /@ Partition[ fibs,n,1], PrimeQ]], {n,7}]] (* _Harvey P. Dale_, Jun 15 2011 *)

%Y Cf. A087345.

%K base,nonn

%O 1,1

%A _Amarnath Murthy_, Sep 06 2003

%E Corrected and extended by _Shyam Sunder Gupta_, Apr 17 2005