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A103811 Primes from merging of 3 successive digits in decimal expansion of the Golden Ratio, (1+sqrt(5))/2. 24

%I #25 Feb 22 2023 05:34:58

%S 887,683,563,811,179,227,281,449,911,113,137,521,223,353,317,179,607,

%T 263,443,433,389,659,593,829,563,383,661,613,131,199,829,269,631,313,

%U 443,149,587,701,887,547,461,569,953,449,241,443,449,947,467,509,743

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

%C Leading zeros are not permitted, so each term is 3 digits in length. - _Harvey P. Dale_, Oct 23 2011

%H Vincenzo Librandi, <a href="/A103811/b103811.txt">Table of n, a(n) for n = 1..1000</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/GoldenRatio.html">The Golden Ratio</a>.

%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=3},FromDigits/@Select[Partition[RealDigits[GoldenRatio,10, 1000][[1]],len,1],PrimeQ[FromDigits[#]] && IntegerLength[ FromDigits[#]] == len&]] (* _Harvey P. Dale_, Oct 23 2011 *)

%Y Cf. A001622.

%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 April 23 16:40 EDT 2024. Contains 371916 sequences. (Running on oeis4.)