

A007529


Prime triples: n; n+2 or n+4; n+6 all prime.
(Formerly M3760)


10



5, 7, 11, 13, 17, 37, 41, 67, 97, 101, 103, 107, 191, 193, 223, 227, 277, 307, 311, 347, 457, 461, 613, 641, 821, 823, 853, 857, 877, 881, 1087, 1091, 1277, 1297, 1301, 1423, 1427, 1447, 1481, 1483, 1487, 1607, 1663, 1693, 1783, 1867, 1871, 1873, 1993, 1997
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


COMMENTS

Or, p(m) such that p(m+2)=p(m)+6, where p(m) is the mth prime.  Zak Seidov, May 07 2012


REFERENCES

H. Riesel, ``Prime numbers and computer methods for factorization,'' Progress in Mathematics, Vol. 57, Birkhauser, Boston, 1985, Chap. 4, see p. 65.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).


LINKS

Zak Seidov, Table of n, a(n) for n = 1..10000


MATHEMATICA

ptrsQ[n_]:=PrimeQ[n+6]&&(PrimeQ[n+2]PrimeQ[n+4])
Select[Prime[Range[400]], ptrsQ] (* Harvey P. Dale, Mar 08 2011 *)


PROG

(MAGMA) [NthPrime(n): n in [1..310]  (NthPrime(n)+6) eq NthPrime(n+2)]; // Bruno Berselli, May 07 2012
(PARI) p=2; q=3; forprime(r=5, 1e4, if(rp==6, print1(p", ")); p=q; q=r) \\ Charles R Greathouse IV, May 07 2012


CROSSREFS

Cf. A031924, A023201, A098414, A098415, A098424, A098416, A098417.
Sequence in context: A227576 A114262 A230217 * A246463 A108409 A039681
Adjacent sequences: A007526 A007527 A007528 * A007530 A007531 A007532


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, Robert G. Wilson v


STATUS

approved



