A332675 Prime numbers p_k such that p_k == 3 (mod 10) and p_(k+1) == 1 (mod 10).

523, 683, 743, 983, 1163, 1193, 1373, 1523, 1733, 1823, 1913, 2003, 2153, 2213, 2243, 2273, 2503, 2663, 2843, 3623, 3803, 4373, 4423, 4463, 4583, 4603, 4703, 4733, 4943, 5483, 5573, 5693, 5783, 5813, 5953, 6113, 6143, 6203, 6473, 6833, 6983, 7393, 7433, 7673, 7883, 8093, 8513, 8573

Offset

1,1

Links

Table of n, a(n) for n=1..48.

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.

Mathematica

First @ Transpose @ Select[Partition[Select[Range[10^4], PrimeQ], 2, 1], Mod[First[#], 10] == 3 && Mod[Last[#], 10] == 1 &] (* 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), this sequence (3, 1), A332676 (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: A231284 A145497 A142778 * A152673 A124587 A095651

Adjacent sequences: A332672 A332673 A332674 * A332676 A332677 A332678

Keyword

nonn

Author

A.H.M. Smeets, Feb 19 2020

Status

approved