A103811 Primes from merging of 3 successive digits in decimal expansion of the Golden Ratio, (1+sqrt(5))/2.

887, 683, 563, 811, 179, 227, 281, 449, 911, 113, 137, 521, 223, 353, 317, 179, 607, 263, 443, 433, 389, 659, 593, 829, 563, 383, 661, 613, 131, 199, 829, 269, 631, 313, 443, 149, 587, 701, 887, 547, 461, 569, 953, 449, 241, 443, 449, 947, 467, 509, 743

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 3 digits in length. - Harvey P. Dale, Oct 23 2011

Links

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

Crossrefs

Cf. A001622.

Programs

Mathematica

With[{len=3},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