A257315 a(1) = 34; a(2) = 35; for n > 2, a(n) is the smallest number of the form prime + 32 not already used which shares a factor with a(n-1).

34, 35, 45, 39, 51, 63, 49, 91, 105, 55, 75, 69, 93, 99, 111, 37, 259, 133, 171, 129, 43, 301, 189, 135, 85, 115, 145, 195, 141, 159, 183, 61, 793, 169, 273, 213, 225, 205, 255, 231, 121, 363, 243, 261, 303, 309, 103, 1339, 325, 265, 295, 315, 339, 345, 369

Offset: 1

Author

Vladimir Shevelev, Apr 20 2015

Keywords

• nonn

Comments

Analog of EKG-sequence (A064413) on the numbers of the form prime + 32.

Conjecture: the sequence {a(n)-32} is a permutation of primes (A000040).

Links

• Peter J. C. Moses, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A000040, A064413, A257411, A257412, A257413, A257414.

Programs

Mathematica

f[n_] := Block[{o = 2^5, s, p, k}, s = {o + 2, o + 3}; For[k = 3, k <= n, k++, p = 2; While[GCD[p + o, s[[k - 1]]] == 1 || MemberQ[s, p + o], p = NextPrime@ p]; AppendTo[s, p + o]]; s]; f@ 55 (* Michael De Vlieger, Apr 20 2015 *)

Extensions

More terms from Peter J. C. Moses, Apr 20 2015