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A103810 Primes from merging of 4 successive digits in decimal expansion of the Golden Ratio, (1+sqrt(5))/2. 24

%I

%S 9887,6563,8117,7207,9391,3911,8807,8689,2663,5443,3389,5939,6131,

%T 1319,2087,6689,2221,6269,2963,9631,1361,2203,4547,9241,3449,8467,

%U 7433,4339,4877,7499,9887,4007,6521,7057,7517,5179,7883,7589,7621,6217,1117,1777

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

%C Leading zeros are not permitted, so each term is 4 digits in length. - _Harvey P. Dale_, Oct 23 2011

%D Mohammad K. Azarian, Problem 123, Missouri Journal of Mathematical Sciences, Vol. 10, No. 3, Fall 1998, p. 176. Solution published in Vol. 12, No. 1, Winter 2000, pp. 61-62.

%H Vincenzo Librandi, <a href="/A103810/b103810.txt">Table of n, a(n) for n = 1..1000</a>

%H <a href="http://mathworld.wolfram.com/GoldenRatio.html">The Golden Ratio</a> as explained at MathWorld.com

%H <a href="http://www.gutenberg.org/ebooks/634">Expansion of the Golden Ratio</a> done to 20,000 digits as part of project Gutenberg.

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

%K nonn,base

%O 1,1

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

%E Offset changed from 0 to 1 by _Vincenzo Librandi_, Apr 22 2013

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Last modified May 11 16:18 EDT 2021. Contains 343796 sequences. (Running on oeis4.)