%I A005250 M0994
%S A005250 1,2,4,6,8,14,18,20,22,34,36,44,52,72,86,96,112,114,118,132,148,154,
%T A005250 180,210,220,222,234,248,250,282,288,292,320,336,354,382,384,394,
%U A005250 456,464,468,474,486,490,500,514,516,532,534,540,582,588,602,652
%N A005250 Increasing gaps between primes.
%C A005250 Here a "gap" means prime(n+1)-prime(n), but in other references it can 
               mean prime(n+1)-prime(n)-1.
%D A005250 B. C. Berndt, Ramanujan's Notebooks Part IV, Springer-Verlag, see p. 
               133.
%D A005250 R. K. Guy, Unsolved Problems in Number Theory, A8.
%D A005250 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A005250 J. Young and A. Potler, First occurrence prime gaps, Math. Comp., 52 
               (1989), 221-224.
%H A005250 N. J. A. Sloane, <a href="b005250.txt">Table of n, a(n) for n=1..74</
               a> (from the web page of Tomas Oliveira e Silva)
%H A005250 Alex Beveridge, <a href="a000101.txt">Table giving known values of A000101(n), 
               A005250(n), A107578(n)</a>
%H A005250 C. K. Caldwell, <a href="http://www.utm.edu/research/primes/notes/gaps.html#table">
               Table of prime gaps</a>
%H A005250 C. K. Caldwell, <a href="http://www.utm.edu/research/primes/notes/GapsTable.html">
               Gaps up to 1132</a>
%H A005250 T. R. Nicely, <a href="http://www.trnicely.net/index.html">Some Results 
               of Computational Research in Prime Numbers</a>
%H A005250 T. R. Nicely, <a href="http://www.trnicely.net/gaps/gaplist.html">List 
               of Gaps</a>
%H A005250 Tomas Oliveira e Silva, <a href="http://www.ieeta.pt/~tos/gaps.html">
               Gaps between consecutive primes</a>
%H A005250 <a href="Sindx_Pri.html#gaps">Index entries for primes, gaps between</
               a>
%F A005250 a(n) = A000101(n)-A002386(n) = A008996(n-1) - M. F. Hasler (Maximilian.Hasler(AT)gmail.com), 
               Dec 13 2007
%t A005250 a=0;s="";For[i=1, i<10^5, p1=Prime[i];p2=Prime[i+1];e=p2-p1;If[e>a, s=s<>
               ToString[e]<>", ";a=e];i++ ];Print[s] (from Vladimir Orlovsky (4vladimir(AT)gmail.com), 
               May 01 2008)
%o A005250 (PARI) p=q=2;g=0;until( g<(q=nextprime(1+p=q))-p & print1(g=q-p,","),
               ) \\ - M. F. Hasler, Dec 13 2007
%Y A005250 Cf. A002386, A000101, A008996, A058320, A107578.
%Y A005250 Sequence in context: A152973 A089747 A049015 this_sequence A162762 A156097 
               A039597
%Y A005250 Adjacent sequences: A005247 A005248 A005249 this_sequence A005251 A005252 
               A005253
%K A005250 nonn,nice
%O A005250 1,2
%A A005250 N. J. A. Sloane (njas(AT)research.att.com), R. K. Guy
%E A005250 More terms from Andreas Boerner (andreas.boerner(AT)altavista.net), Jul 
               11 2000. Additional comments from Frank Ellermann (Frank.Ellermann(AT)t-online.de), 
               Apr 20 2001
%E A005250 More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 03 2002; May 
               01 2006