|
Search: id:A124588
|
|
|
| A124588 |
|
Primes p such that q-p <= 2, where q is the next prime after p. |
|
+0
3
|
|
| 2, 3, 5, 11, 17, 29, 41, 59, 71, 101, 107, 137, 149, 179, 191, 197, 227, 239, 269, 281, 311, 347, 419, 431, 461, 521, 569, 599, 617, 641, 659, 809, 821, 827, 857, 881, 1019, 1031, 1049, 1061, 1091, 1151, 1229, 1277, 1289, 1301, 1319, 1427, 1451, 1481, 1487, 1607
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Consists of 2 together with the lower members of twin primes, A001359. See the latter entry for references.
"Assuming certain (admittedly difficult) conjectures on the distribution of primes in arithmetic progressions, [Goldston-Pintz-Yildirim] prove the existence of infinitely many prime pairs that differ at most by 16." - Soundararajan
Lesser of twin primes together with 2; union with A029710 gives A124589. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Dec 23 2006
|
|
REFERENCES
|
K. Soundararajan, Small gaps bewteen prime numbers: the work of Goldston-Pintz-Yildirim, Bull. Amer. Math. Soc., 44 (2007), 1-18.
|
|
LINKS
|
Index entries for primes, gaps between
|
|
PROGRAM
|
(PARI) print1(2", "); (for(x=1, 200, print1(twinl(x)", "))) - Cino Hilliard (hillcino368(AT)hotmail.com), Mar 29 2008
|
|
CROSSREFS
|
Cf. A001359.
Sequence in context: A038909 A073534 A063091 this_sequence A059428 A084571 A055498
Adjacent sequences: A124585 A124586 A124587 this_sequence A124589 A124590 A124591
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
njas, Dec 19 2006; edited May 15 2008 at the suggestion of R. J. Mathar
|
|
|
Search completed in 0.002 seconds
|
