Search: id:A113728
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%I A113728
%S A113728 3,4,6,12,12,18,18,20,24,32,40,42,42,50,48,56,64,70,72,72,80,80,84,96,
%T A113728 102,102,108,108,126,126,130,136,144,144,152,156,160,170,168,176,180,
%U A113728 192,192,198,210,216,224,228,228,230,240,240,256,252,264,264,272,280
%N A113728 a(n) is the integer between p(n) and p(n+2) which is divisible by (p(n+2)-p(n)), 
               where p(n) is the n-th prime.
%C A113728 Exactly one integer exists between each p(n+2) and p(n) which is divisible 
               by (p(n+2)-p(n)).
%H A113728 Leroy Quet, <a href="http://www.prism-of-spirals.net/">Home Page</a> 
               (listed in lieu of email address)
%F A113728 a(n)=A031131(n)*ceil[A000040(n)/A031131(n)]. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Aug 31 2007
%e A113728 Between the primes 19 and 29 is the composite 20 and 20 is divisible 
               by (29-19)=10. So 20 is in the sequence.
%t A113728 For[n = 1, n < 50, n++, s := Prime[n] + 1; While[Floor[s/(Prime[n + 2] 
               -Prime[n])] != s/(Prime[n + 2] - Prime[n]), s++ ]; Print[s]] - Stefan 
               Steinerberger (stefan.steinerberger(AT)gmail.com), Feb 10 2006
%Y A113728 Cf. A113709, A113729.
%Y A113728 Sequence in context: A002090 A062822 A175029 this_sequence A000114 A136243 
               A051592
%Y A113728 Adjacent sequences: A113725 A113726 A113727 this_sequence A113729 A113730 
               A113731
%K A113728 nonn
%O A113728 1,1
%A A113728 Leroy Quet Nov 08 2005
%E A113728 More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), 
               Feb 10 2006
%E A113728 More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 31 2007

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