|
|
A014321
|
|
The next new gap between successive odd primes (divided by 2).
|
|
4
|
|
|
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, 31, 27, 30, 29, 23, 28, 32, 34, 43, 33, 35, 39, 38, 41, 48, 56, 50, 37, 45, 42, 57, 40, 44, 49, 46, 53, 47, 59, 66, 52, 51, 55, 63, 60, 74, 54, 61, 69, 64, 77, 65, 58, 73, 68, 62, 67
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
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
|
|
LINKS
|
|
|
MATHEMATICA
|
DeleteDuplicates[Differences[Prime[Range[2, 500000]]]]/2 (* Harvey P. Dale, Sep 15 2023 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,changed
|
|
AUTHOR
|
Hynek Mlcousek (hynek(AT)dior.ics.muni.cz)
|
|
EXTENSIONS
|
More terms from Ferenc Adorjan (ferencadorjan(AT)gmail.com), May 17 2007
|
|
STATUS
|
approved
|
|
|
|