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A119343 Theodorus primes: primes formed from the concatenation of the initial decimal digits of Theodorus's constant, sqrt(3).

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%I A119343 #19 Jul 17 2025 08:19:16
%S A119343 17,173,1732050807568877293
%N A119343 Theodorus primes: primes formed from the concatenation of the initial decimal digits of Theodorus's constant, sqrt(3).
%C A119343 The next term (a(4)) has 111 digits. - _Harvey P. Dale_, Oct 24 2014
%H A119343 Amiram Eldar, <a href="/A119343/b119343.txt">Table of n, a(n) for n = 1..6</a>
%H A119343 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/IntegerSequencePrimes.html">Integer Sequence Primes</a>.
%e A119343 sqrt(3) = 1.732050807568877..., 17, the concatenation of the first 2 decimal digits, is prime, so a(1) = 17.
%t A119343 nn=300;With[{ds3=RealDigits[Sqrt[3],10,nn][[1]]},Select[ Table[ FromDigits[ Take[ds3,n]],{n,nn}],PrimeQ]] (* _Harvey P. Dale_, Oct 24 2014 *)
%Y A119343 Cf. A002194, A119344.
%K A119343 nonn,base
%O A119343 1,1
%A A119343 _Eric W. Weisstein_, May 15 2006
%E A119343 Edited by _Charles R Greathouse IV_, Apr 27 2010