A332676 Prime numbers p_k such that p_k == 3 (mod 10) and p_(k+1) == 3 (mod 10).

283, 1153, 1723, 2053, 2143, 3413, 3583, 3823, 3853, 4243, 4273, 4363, 4483, 4663, 5323, 5903, 6133, 6163, 6343, 6553, 6793, 6803, 7253, 7963, 8243, 8353, 8543, 8563, 8783, 8893, 9283, 9403, 10223, 10303, 10433, 10993, 11093, 11383, 12253, 12703, 13063, 13513, 13933, 14293, 14983

Offset

1,1

Links

Robert Israel, Table of n, a(n) for n = 1..10000

R. J. Lemke Oliver and K. Soundararajan, Unexpected biases in the distribution of consecutive primes, arXiv:1603.03720 [math.NT], 2016.

R. J. Lemke Oliver and K. Soundararajan, Unexpected biases in the distribution of consecutive primes, Proceedings of the National Academy of Sciences of the United States of America, Vol. 113, No. 31 (2016), E4446-E4454.

Maple

filter:= t -> isprime(t) and nextprime(t) mod 10 = 3:
select(filter, [seq(i, i=3..20000, 10)]); # Robert Israel, May 08 2020

Mathematica

First @ Transpose @ Select[Partition[Select[Range[20000], PrimeQ], 2, 1], Mod[First[#], 10] == 3 && Mod[Last[#], 10] == 3 &] (* Amiram Eldar, Feb 19 2020 *)

Crossrefs

Cf. A030430 (1, any), A330366 (1, 1), A331555 (1, 3), A331324 (1, 7), A332674 (1, 9), A030431 (3, any), A332675 (3, 1), this sequence (3, 3), A030432 (7, any), A030433 (9, any) [where (a, b) means p_k == a (mod 10) and p_(k+1) == b (mod 10)].

Sequence in context: A142446 A345905 A059257 * A142837 A064964 A381372

Adjacent sequences: A332673 A332674 A332675 * A332677 A332678 A332679

Keyword

nonn

Author

A.H.M. Smeets, Feb 19 2020

Status

approved