A260517 Numbers equidistant from twin prime pairs that are also equidistant from numbers equidistant from twin prime pairs.

51, 105, 144, 165, 234, 255, 276, 630, 1041, 2289, 2325, 2466, 4251, 5460, 9006, 9699, 10380, 10479, 12006, 13701, 14166, 15690, 18090, 19425, 20190, 20295, 21540, 26706, 26796, 32487, 32871, 33684, 33789, 35520, 37455, 38661, 41685, 42771, 46515, 47760

Offset: 1

Author

Peter Woodward, Jul 27 2015

Keywords

• nonn

Examples

			165 is a term because it is equidistant from 144 and 186. 144 and 186 are both equidistant from twin primes, according to A074953.
		

Links

• Robert G. Wilson v, Table of n, a(n) for n = 1..1257

Crossrefs

Cf. A001097 (Twin primes), A074953 (Numbers equidistant from twin prime pairs).

Programs

Mathematica

t = Select[ Prime@ Range@ 5000, PrimeQ[# + 2] &]; d = Differences@ t; (t[[#+1]] + t[[#+2]]& /@ Select[ Range[ Length[d] - 2], d[[#]] == d[[#+2]] &])/2 + 1 (* Robert G. Wilson v, Jul 29 2015 *)