A137263 Interprimes (A024675) == 2 (mod 3).

26, 50, 56, 86, 134, 170, 176, 236, 254, 260, 266, 356, 386, 446, 473, 506, 515, 560, 566, 590, 596, 650, 656, 680, 803, 944, 950, 974, 980, 1016, 1100, 1106, 1184, 1190, 1220, 1226, 1268, 1286, 1313, 1364, 1370, 1436, 1496, 1505, 1517, 1556, 1604, 1616

Offset

1,1

Comments

In other words, a(n) -/+ d are consecutive primes;

all d's are multiples of 3 and most d's are even;

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

Examples of pairs {a(n),d} with first occurrences of d:
{26,3}, {473,6}, {1268,9}, {4535,12}, {5366,15}, {9569,18}, {38522,21}, {28253,24}, {40316,27}, {43361,30}, {162176,33}, {31433,36}, {370988,39}, {461759,42}, {576836,45}, {360701,48}, {492170,57}.

Mathematica

Select[Mean/@Partition[Prime[Range[2, 300]], 2, 1], Mod[#, 3]==2&] (* Harvey P. Dale, Jun 04 2023 *)

Crossrefs

Cf. A024675.

Sequence in context: A364025 A324041 A375139 * A073249 A044078 A044459

Adjacent sequences: A137260 A137261 A137262 * A137264 A137265 A137266

Keyword

nonn

Author

Zak Seidov, Mar 12 2008, Mar 22 2008

Status

approved