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%I A002071 M3386 N1366
%S A002071 1,4,10,23,40,68,108,167,241,345,482,653,869,1153,1502
%N A002071 Number of pairs of consecutive integers x, x+1 such that all prime factors 
               of both x and x+1 are at most the n-th prime.
%D A002071 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A002071 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002071 E. F. Ecklund and R. B. Eggleton, Prime factors of consecutive integers, 
               Amer. Math. Monthly, 79 (1972), 1082-1089.
%D A002071 D. H. Lehmer, On a problem of Stormer, Ill. J. Math., 8 (1964), 57-69.
%D A002071 Stormer, Carl (1897). "Quelques theoremes sur l'equation de Pell x^2 
               - Dy^2 = +-1 et leurs applications". Skrifter Videnskabs-selskabet 
               (Christiania), Mat.-Naturv. Kl. I (2).
%H A002071 D. Eppstein, <a href="http://11011110.livejournal.com/97325.html">Smooth 
               pairs</a>.
%H A002071 D. Eppstein, <a href="http://11011110.livejournal.com/96470.html">Maple 
               program</a>
%H A002071 Wikipedia, <a href="http://en.wikipedia.org/wiki/St%C3%B8rmer%27s_theorem">
               Stormer's theorem</a>
%Y A002071 Cf. A002072.
%Y A002071 Cf. A138180 (triangle of x values for each n).
%Y A002071 A145604, A145605, A145606 [From T. D. Noe (noe(AT)sspectra.com), Oct 
               16 2008]
%Y A002071 Sequence in context: A023378 A038423 A109293 this_sequence A024980 A002766 
               A008268
%Y A002071 Adjacent sequences: A002068 A002069 A002070 this_sequence A002072 A002073 
               A002074
%K A002071 nonn,nice,more
%O A002071 1,2
%A A002071 N. J. A. Sloane (njas(AT)research.att.com).
%E A002071 Better description and more terms from David Eppstein (eppstein(AT)ics.uci.edu), 
               Mar 23 2007

    
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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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