A103810 Primes from merging of 4 successive digits in decimal expansion of the Golden Ratio, (1+sqrt(5))/2.

9887, 6563, 8117, 7207, 9391, 3911, 8807, 8689, 2663, 5443, 3389, 5939, 6131, 1319, 2087, 6689, 2221, 6269, 2963, 9631, 1361, 2203, 4547, 9241, 3449, 8467, 7433, 4339, 4877, 7499, 9887, 4007, 6521, 7057, 7517, 5179, 7883, 7589, 7621, 6217, 1117, 1777

Offset: 1

Author

Andrew G. West (WestA(AT)wlu.edu), Mar 29 2005

Keywords

• nonn
• base

Comments

Leading zeros are not permitted, so each term is 4 digits in length. - Harvey P. Dale, Oct 23 2011

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000
• Simon Plouffe, Expansion of the Golden Ratio done to 20,000 digits as part of project Gutenberg.
• Eric Weisstein's World of Mathematics, Golden Ratio.

Crossrefs

Cf. A001622.

Programs

Mathematica

With[{len=4},FromDigits/@Select[Partition[RealDigits[GoldenRatio,10, 1000][[1]],len,1],PrimeQ[FromDigits[#]] && IntegerLength[ FromDigits[#]] == len&]] (* Harvey P. Dale, Oct 23 2011 *)

Extensions

Offset changed from 0 to 1 by Vincenzo Librandi, Apr 22 2013