%I A084749
%S A084749 0,1,2,3,4,5,6,7,10,33,44,48,52,64,73,92,119,182,487,603,987,4884,6822,
%T A084749 8070
%N A084749 Numbers n such that n! + p is a prime, where p is the smallest prime 
               > n.
%C A084749 Next term, if it exists, is >4800. - Ryan Propper (rpropper(AT)stanford.edu), 
               Jan 02 2007
%C A084749 Contribution from Farideh Firoozbakht (mymontain(AT)yahoo.com), Oct 21 
               2009: (Start)
%C A084749 Numbers corresponding to a(19)-a(24) are probable primes.
%C A084749 There is no further term up to 8300. (End)
%e A084749 727 = 6! + 7 is a prime but 8! +11 is composite hence 6 is a member but 
               8 is not.
%e A084749 7 is in the sequence because 7!=5040,NextPrime[7]=11 and 5040+11 is prime.
%t A084749 Do[If[PrimeQ[k!+NextPrime[k]], Print[k]], {k, 0, 1525}] - Farideh Firoozbakht 
               (mymontain(AT)yahoo.com), Feb 26 2004
%Y A084749 Cf. A084748, A084750, A092028, A064278, A002981.
%Y A084749 Sequence in context: A005140 A017845 A092026 this_sequence A102453 A032971 
               A099466
%Y A084749 Adjacent sequences: A084746 A084747 A084748 this_sequence A084750 A084751 
               A084752
%K A084749 nonn,more
%O A084749 1,3
%A A084749 Amarnath Murthy and Meenakshi Srikanth (amarnath_murthy(AT)yahoo.com), 
               Jun 16 2003
%E A084749 More terms from Farideh Firoozbakht (mymontain(AT)yahoo.com), Feb 26 
               2004
%E A084749 Edited by N. J. A. Sloane (njas(AT)research.att.com) at the suggestion 
               of Artur Jasinski, Apr 14 2008
%E A084749 4884, 6822 and 8070 from Farideh Firoozbakht (mymontain(AT)yahoo.com), 
               Oct 21 2009