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 A273217 Initial members of prime 10-tuplets (p, p + 4, p + 6, p + 10, p + 16, p + 18, p + 24, p + 28, p + 30, p + 34). 1

%I

%S 13,113143,51435506383,99409572523,103798521703,168478035613,

%T 209853250543,352584260443,363166596883,364924788643,392540425213,

%U 474794173933,599248664863,868426443733,921757034893,956232430243,1033160019163,1076170106563,1136259793363

%N Initial members of prime 10-tuplets (p, p + 4, p + 6, p + 10, p + 16, p + 18, p + 24, p + 28, p + 30, p + 34).

%C The prime k-tuples conjecture predicts the existence of infinitely many prime numbers p such that the numbers p + 4, p + 6, p + 10, p + 16, p + 18, p + 24, p + 28, p + 30, p + 34 belong all to the set of primes.

%D Richard Crandall & Carl Pomerance, Prime numbers: a computational perspective (2nd edition). Springer-Verlag, 2005, pp. 17-18.

%H Giovanni Resta, <a href="/A273217/b273217.txt">Table of n, a(n) for n = 1..300</a>

%t Select[6Range[2000] + 1, Union[PrimeQ[# + {0, 4, 6, 10, 16, 18, 24, 28, 30, 34}]] == {True} &] (* _Alonso del Arte_, May 22 2016 *)

%Y Cf. A022547.

%K nonn

%O 1,1

%A _JosÃ© HernÃ¡ndez_, May 17 2016

%E a(6)-a(19) from _Giovanni Resta_, May 26 2016

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Last modified July 24 23:25 EDT 2021. Contains 346273 sequences. (Running on oeis4.)