

A058320


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


9



2, 4, 6, 8, 14, 10, 12, 18, 20, 22, 34, 24, 16, 26, 28, 30, 32, 36, 44, 42, 40, 52, 48, 38, 72, 50, 62, 54, 60, 58, 46, 56, 64, 68, 86, 66, 70, 78, 76, 82, 96, 112, 100, 74, 90, 84, 114, 80, 88, 98, 92, 106, 94, 118, 132, 104, 102, 110, 126, 120, 148, 108
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OFFSET

0,1


COMMENTS

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 recordbreaking prime gaps is A005250.
Essentially the same as A014320. [From R. J. Mathar, Oct 13 2008]


LINKS

Table of n, a(n) for n=0..61.
Richard P. Brent, The first occurrence of large gaps between successive primes, Math. Comp. 27:124 (1973), 959963.
T. R. Nicely, New maximal prime gaps and first occurrences, Math. Comput. 68,227 (1999) 13111315.
T. R. Nicely, List of prime gaps


MATHEMATICA

DeleteDuplicates[Differences[Prime[Range[2, 200000]]]] (* Harvey P. Dale, Dec 07 2014 *)


CROSSREFS

Cf. A008996, A005250.
Equals 2*A014321(n1).
Sequence in context: A039846 A094092 A072791 * A014320 A080377 A086526
Adjacent sequences: A058317 A058318 A058319 * A058321 A058322 A058323


KEYWORD

hard,nice,nonn


AUTHOR

Warren D. Smith, Dec 11 2000


EXTENSIONS

Comment corrected by Harvey P. Dale, Dec 07 2014


STATUS

approved



