%I A058320
%S A058320 2,4,6,8,14,10,12,18,20,22,34,24,16,26,28,30,32,36,44,42,40,52,48,
%T A058320 38,72,50,62,54,60,58,46,56,64,68,86,66,70,78,76,82,96,112,100,74,
%U A058320 90,84,114,80,88,98,92,106,94,118,132,104,102,110,126,120,148,108
%N A058320 Distinct even prime-gap lengths (number of composites between primes), 
               from 3+2, 7+4, 23+6,...
%C A058320 Nicely and Nyman have sieved up to 1.3565*10^16 at least. They admit 
               it is likely they have suffered from hardware or software bugs, but 
               believe the probability the sequence up to this point is incorrect 
               is <1 in a million. This sequence is presumably all odd integers 
               (in different order). It is not monotonic. The monotonic subseq of 
               record-breaking prime gaps is A005250.
%C A058320 Essentially the same as A014320. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Oct 13 2008]
%D A058320 Richard P. Brent: The first occurrence of large gaps between successive 
               primes, Math. Comp. 27:124 (1973), 959-963.
%D A058320 T.R. Nicely: New maximal prime gaps and first occurrences, Math. Comput. 
               68,227 (1999) 1311-1315.
%H A058320 T. R. Nicely, <a href="http://www.trnicely.net/gaps/gaplist.html">List 
               of prime gaps</a>
%Y A058320 Cf. A008996, A005250.
%Y A058320 Equals 2*A014321(n-1).
%Y A058320 Sequence in context: A039846 A094092 A072791 this_sequence A014320 A080377 
               A086526
%Y A058320 Adjacent sequences: A058317 A058318 A058319 this_sequence A058321 A058322 
               A058323
%K A058320 hard,nice,nonn
%O A058320 0,1
%A A058320 Warren D. Smith (wds(AT)research.nj.nec.com), Dec 11 2000