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 A007529 Prime triples: p; p+2 or p+4; p+6 all prime. (Formerly M3760) 46
 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, prime(m) such that prime(m+2) = prime(m)+6. - 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 Ernest G. Hibbs, Component Interactions of the Prime Numbers, Ph. D. Thesis, Capitol Technology Univ. (2022), see p. 33. FORMULA a(n) = A098415(n) - 6. - Zak Seidov, Apr 30 2015 MAPLE N:= 10000: # to get all terms <= N Primes:= select(isprime, [seq(2*i+1, i=1..floor((N+5)/2))]):locs:= select(t -> Primes[t+2]-Primes[t]=6, [\$1..nops(Primes)-2]): Primes[locs]; # Robert Israel, Apr 30 2015 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(r-p==6, print1(p", ")); p=q; q=r) \\ Charles R Greathouse IV, May 07 2012 CROSSREFS Cf. A031924, A023201, A098414, A098415, A098424, A098416, A098417. Union of A022004 and A022005. Sequence in context: A255229 A230217 A317250 * A287956 A266266 A246463 Adjacent sequences: A007526 A007527 A007528 * A007530 A007531 A007532 KEYWORD nonn AUTHOR N. J. A. Sloane, Robert G. Wilson v STATUS approved

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Last modified September 25 18:22 EDT 2023. Contains 365648 sequences. (Running on oeis4.)