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).

13, 113143, 51435506383, 99409572523, 103798521703, 168478035613, 209853250543, 352584260443, 363166596883, 364924788643, 392540425213, 474794173933, 599248664863, 868426443733, 921757034893, 956232430243, 1033160019163, 1076170106563, 1136259793363

Offset

1,1

Comments

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.

References

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

Links

Giovanni Resta, Table of n, a(n) for n = 1..300

Mathematica

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

Crossrefs

Cf. A022547.

Sequence in context: A188980 A348645 A022547 * A176119 A228522 A274229

Adjacent sequences: A273214 A273215 A273216 * A273218 A273219 A273220

Keyword

nonn

Author

José Hernández, May 17 2016

Extensions

a(6)-a(19) from Giovanni Resta, May 26 2016

Status

approved