# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a014321 Showing 1-1 of 1 %I A014321 #34 Aug 11 2024 14:46:30 %S A014321 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 A014321 31,27,30,29,23,28,32,34,43,33,35,39,38,41,48,56,50,37,45,42,57,40,44, %U A014321 49,46,53,47,59,66,52,51,55,63,60,74,54,61,69,64,77,65,58,73,68,62,67 %N A014321 The next new gap between successive odd primes (divided by 2). %C A014321 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 A014321 Brian Kehrig, Table of n, a(n) for n = 1..747 (terms 1..641 from Ferenc Adorjan, terms from a(642) onward corrected by Brian Kehrig). %H A014321 C. K. Caldwell, The prime pages %H A014321 Thomas R. Nicely, First occurrence prime gaps %H A014321 The Prime Gap List, First occurrence prime gaps %t A014321 DeleteDuplicates[Differences[Prime[Range[2,500000]]]]/2 (* _Harvey P. Dale_, Sep 15 2023 *) %Y A014321 Cf. A014320. %Y A014321 Equals A058320(n+1)/2. %Y A014321 Inverse: A130264, Cf. A086979. %K A014321 nonn %O A014321 1,2 %A A014321 Hynek Mlcousek (hynek(AT)dior.ics.muni.cz) %E A014321 More terms from Ferenc Adorjan (ferencadorjan(AT)gmail.com), May 17 2007 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE