login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A007529 Prime triples: n; n+2 or n+4; n+6 all prime.
(Formerly M3760)
40
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

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.

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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 6 18:03 EST 2019. Contains 329809 sequences. (Running on oeis4.)