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A124588
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Primes p such that q-p <= 2, where q is the next prime after p.
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6
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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; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| 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
Primes p such that either p+3/2+-1/2 is prime. [From Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jan 29 2010]
The prime differences of 2 primes (without repetition). [From Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jun 01 2010, Jun 08 2010]
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REFERENCES
| K. Soundararajan, Small gaps bewteen prime numbers: the work of Goldston-Pintz-Yildirim, Bull. Amer. Math. Soc., 44 (2007), 1-18.
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LINKS
| Index entries for primes, gaps between
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PROG
| (PARI) print1(2", "); (for(x=1, 200, print1(twinl(x)", "))) - Cino Hilliard (hillcino368(AT)hotmail.com), Mar 29 2008
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CROSSREFS
| Cf. A001359.
Sequence in context: A038909 A073534 A063091 * A059428 A084571 A055498
Adjacent sequences: A124585 A124586 A124587 * A124589 A124590 A124591
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Dec 19 2006; edited May 15 2008 at the suggestion of R. J. Mathar
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