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A022005
Initial members of prime triples (p, p+4, p+6).
61
7, 13, 37, 67, 97, 103, 193, 223, 277, 307, 457, 613, 823, 853, 877, 1087, 1297, 1423, 1447, 1483, 1663, 1693, 1783, 1867, 1873, 1993, 2083, 2137, 2377, 2683, 2707, 2797, 3163, 3253, 3457, 3463, 3847, 4153, 4513, 4783, 5227, 5413, 5437, 5647, 5653, 5737, 6547
OFFSET
1,1
COMMENTS
Subsequence of A029710. - R. J. Mathar, May 06 2017
All terms are congruent to 1 (modulo 6). - Matt C. Anderson, May 22 2015
LINKS
Matt C. Anderson, Table of n, a(n) for n = 1..10000 (terms 1..1000 from T. D. Noe).
Tony Forbes and Norman Luhn, Prime k-tuplets.
Eric Weisstein's World of Mathematics, Prime Triplet.
MATHEMATICA
Select[Table[Prime[n], {n, 2000}], PrimeQ[# + 4] && PrimeQ[# + 6] &] (* Vladimir Joseph Stephan Orlovsky, Jun 19 2011 *)
PROG
(Magma) [p: p in PrimesUpTo(10000) | IsPrime(p+4) and IsPrime(p+6)]; // Vincenzo Librandi, Aug 23 2015
(PARI) select(p->isprime(p+4) && isprime(p+6), primes(1000)) \\ Charles R Greathouse IV, Mar 17 2023
CROSSREFS
Subsequence of A029710 and hence of A002476.
Subsequence of A007529.
Sequence in context: A361483 A155036 A088985 * A281317 A336773 A118819
KEYWORD
nonn,easy
STATUS
approved