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A058320 Distinct even prime-gap lengths (number of composites between primes), from 3+2, 7+4, 23+6,... 3

%I

%S 2,4,6,8,14,10,12,18,20,22,34,24,16,26,28,30,32,36,44,42,40,52,48,38,

%T 72,50,62,54,60,58,46,56,64,68,86,66,70,78,76,82,96,112,100,74,90,84,

%U 114,80,88,98,92,106,94,118,132,104,102,110,126,120,148,108

%N Distinct even prime-gap lengths (number of composites between primes), from 3+2, 7+4, 23+6,...

%C 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 even integers (in different order). It is not monotonic. The monotonic subsequence of record-breaking prime gaps is A005250.

%C Essentially the same as A014320. [From _R. J. Mathar_, Oct 13 2008]

%H Richard P. Brent, <a href="http://dx.doi.org/10.1090/S0025-5718-1973-0330021-0">The first occurrence of large gaps between successive primes</a>, Math. Comp. 27:124 (1973), 959-963.

%H T. R. Nicely, <a href="http://dx.doi.org/10.1090/S0025-5718-99-01065-0">New maximal prime gaps and first occurrences</a>, Math. Comput. 68,227 (1999) 1311-1315.

%H T. R. Nicely, <a href="http://www.trnicely.net/gaps/gaplist.html">List of prime gaps</a>

%t DeleteDuplicates[Differences[Prime[Range[2,200000]]]] (* _Harvey P. Dale_, Dec 07 2014 *)

%Y Cf. A008996, A005250.

%Y Equals 2*A014321(n-1).

%K hard,nice,nonn

%O 0,1

%A _Warren D. Smith_, Dec 11 2000

%E Comment corrected by _Harvey P. Dale_, Dec 07 2014

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Last modified October 21 18:54 EDT 2019. Contains 328308 sequences. (Running on oeis4.)