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Primes from merging of 3 successive digits in decimal expansion of exp(Pi).
1

%I #10 Feb 16 2025 08:32:57

%S 263,277,269,863,367,547,661,211,199,409,971,719,199,997,967,877,773,

%T 383,587,653,863,223,991,101,137,401,103,881,449,449,491,677,367,163,

%U 631,821,773,347,353,383,331,821,919,193,443,433,557,727,271,823,449

%N Primes from merging of 3 successive digits in decimal expansion of exp(Pi).

%H Vincenzo Librandi, <a href="/A105008/b105008.txt">Table of n, a(n) for n = 1..1000</a>

%H The first <a href="http://www.worldwideschool.org/library/books/sci/math/MiscellaneousMathematicalConstants/chap28.html">5,000 digits of exp(PI)</a> as calculated by _Simon Plouffe_ at WorldWideSchool.org.

%H Eric Weisstein, <a href="https://mathworld.wolfram.com/ExponentialFunction.html">Exponential Functions </a>

%t Select[FromDigits/@Partition[RealDigits[Exp[Pi], 10, 500][[1]], 3, 1], #>99&&PrimeQ[#]&] (* _Vincenzo Librandi_, Apr 26 2013 *)

%Y Cf. A039661.

%K nonn,base,changed

%O 1,1

%A Andrew G. West (WestA(AT)wlu.edu), Mar 31 2005

%E Changed offset from 0 to 1 by _Vincenzo Librandi_, Apr 26 2013