A103809 Primes from merging of 5 successive digits in decimal expansion of the Golden Ratio, (1+sqrt(5))/2.

39887, 36563, 98057, 28621, 41893, 93911, 39113, 68917, 26633, 53693, 36931, 69317, 93179, 31793, 56383, 44381, 38149, 12203, 92461, 43207, 32077, 20771, 87433, 44221, 47809, 24007, 51797, 97883, 56249, 89069, 90697, 10427, 11177

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 5 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.

Programs

Mathematica

With[{len=5},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