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%I #12 Sep 15 2023 19:17:45
%S 1,2,3,4,7,5,6,9,10,11,17,12,8,13,14,15,16,18,22,21,20,26,24,19,36,25,
%T 31,27,30,29,23,28,32,34,43,33,35,39,38,41,48,56,50,37,45,42,57,40,44,
%U 49,46,53,47,59,66,52,51,55,63,60,74,54,61,69,64,77,65,58,73,68,62,67
%N The next new gap between successive odd primes (divided by 2).
%C If Polignac's conjecture holds (which is highly likely), then this sequence is a permutation of the positive integers. Even a weaker form of the conjecture would be enough: "Every even number occurs at least once as difference of subsequent primes". - Ferenc Adorjan (ferencadorjan(AT)gmail.com) May 17 2007
%H Ferenc Adorjan, <a href="/A014321/b014321.txt">Table of n, a(n) for n=1..999 based on Thomas R. Nicely's web page</a>
%H C. K. Caldwell, <a href="http://www.utm.edu/research/primes/">The prime pages</a>
%H Thomas R. Nicely, <a href="https://faculty.lynchburg.edu/~nicely/gaps/gaplist.html">First occurrence prime gaps</a> [For local copy see A000101]
%t DeleteDuplicates[Differences[Prime[Range[2,500000]]]]/2 (* _Harvey P. Dale_, Sep 15 2023 *)
%Y Cf. A014320.
%Y Equals A058320(n+1)/2.
%Y Inverse: A130264, Cf. A086979.
%K nonn
%O 1,2
%A Hynek Mlcousek (hynek(AT)dior.ics.muni.cz)
%E More terms from Ferenc Adorjan (ferencadorjan(AT)gmail.com) May 17 2007
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