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

Author

Zak Seidov, Mar 12 2008, Mar 22 2008

Keywords

• nonn

Comments

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

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

Examples

			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}.
		

Links

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

Crossrefs

Cf. A024675.

Programs

Mathematica

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