%I A006094 M4110
%S A006094 6,15,35,77,143,221,323,437,667,899,1147,1517,1763,2021,2491,3127,3599,
%T A006094 4087,4757,5183,5767,6557,7387,8633,9797,10403,11021,11663,12317,14351,
%U A006094 16637,17947,19043,20711,22499,23707,25591,27221,28891,30967,32399
%N A006094 Products of 2 successive primes.
%C A006094 The Huntley reference would suggest prefixing the sequence with an initial 
               4 - Enoch Haga (Enokh(AT)comcast.net). [But that would conflict with 
               the definition! - N. J. A. Sloane, Oct 13 2009]
%C A006094 Sequence appears to coincide with the sequence of numbers n such that 
               the largest prime < sqrt(n) and the smallest prime > sqrt(n) divide 
               n. - Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 04 2002
%C A006094 a(n+1) = smallest number such that GCD ( a(n), a(n+1) ) = prime(n+1). 
               - Alexandre Wajnberg and Ray Chandler (alexandre.wajnberg(AT)skynet.be), 
               Oct 14 2005
%C A006094 Also the area of consecutive prime rectangles. A consecutive prime rectangle 
               is a rectangle whose sides are components of consecutive primes. 
               E.g. The consecutive primes 7,11 produce a 7x11 unit rectangle which 
               has area 77 square units. - Cino Hilliard (hillcino368(AT)gmail.com), 
               Jul 28 2006
%D A006094 H. E. Huntley, The Divine Proportion, A Study in Mathematical Beauty. 
               New York: Dover, 1970. See Chapter 13, Spira Mirabilis, especially 
               Fig. 13-5, page 173.
%D A006094 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A006094 T. D. Noe, <a href="b006094.txt">Table of n, a(n) for n=1..1000</a>
%t A006094 Table[ Prime[n] Prime[n + 1], {n, 1, 40}] (from Robert G. Wilson v Jan 
               22 2004)
%o A006094 (PARI) g(n) = for(x=1,n,print1(prime(x)*prime(x+1)",")) - Cino Hilliard 
               (hillcino368(AT)gmail.com), Jul 28 2006
%o A006094 (Mupad) ithprime(i)*ithprime(i+1) $ i = 1..41 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Feb 26 2007
%o A006094 (SAGE) BB = primes_first_n(56) list = [] for i in range(55): list.append(BB[1+i]*BB[i]) 
               list - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 14 2007
%Y A006094 Subset of the square-free semiprimes, A006881. Cf. A090076, A090090.
%Y A006094 Cf. A166329, A152241.
%Y A006094 Sequence in context: A049728 A038666 A075625 this_sequence A099620 A045969 
               A100513
%Y A006094 Adjacent sequences: A006091 A006092 A006093 this_sequence A006095 A006096 
               A006097
%K A006094 nonn,easy,nice
%O A006094 1,1
%A A006094 N. J. A. Sloane (njas(AT)research.att.com).