Search: id:A014545
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%I A014545
%S A014545 1,2,3,4,5,11,75,171,172,384,457,616,643,1391,1613,2122,2647,2673,4413,
%T A014545 13494,31260,33237
%N A014545 Primorial primes: n such that n-th Euclid number (A006862(n)) = 1 + (Product 
               of first n primes) is prime.
%D A014545 J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 211, p. 61, Ellipses, 
               Paris 2008.
%D A014545 H. Ibstedt, A Few Smarandache Sequences, Smarandache Notions Journal, 
               Vol. 8, No. 1-2-3, 1997, 170-183.
%H A014545 C. K. Caldwell, <a href="http://primes.utm.edu/glossary/page.php?sort=PrimorialPrime">
               Primorial Primes</a>
%H A014545 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               EuclidNumber.html">Link to a section of The World of Mathematics.</
               a>
%H A014545 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               Primorial.html">Link to a section of The World of Mathematics.</a>
%H A014545 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               IntegerSequencePrimes.html">Integer Sequence Primes</a>
%e A014545 p(4413)=42209 and Primorial(4413)+1=42209#+1 is a 18241-digit prime. 
               Also p(13494)=145823 and Primorial(13494)+1 = 145823#+1 is a 63142-digit 
               prime.
%Y A014545 A005234 gives same sequence in another form, namely values of p such 
               that 1 + product of primes <= p is prime. Cf. A002110, A006862, A057704. 
               A018239 gives the actual primes.
%Y A014545 Sequence in context: A064959 A032988 A136367 this_sequence A158930 A065636 
               A135323
%Y A014545 Adjacent sequences: A014542 A014543 A014544 this_sequence A014546 A014547 
               A014548
%K A014545 nonn,nice,hard
%O A014545 0,2
%A A014545 Eric Weisstein (eric(AT)weisstein.com), bremner(AT)snoopy.usask.ca (Murray 
               Bremner)
%E A014545 More terms from Labos E. (labos(AT)ana.sote.hu). 13494 from Arlin Anderson 
               (starship1(AT)gmail.com), Oct 20, 2000.
%E A014545 31260, 33237 from Eric Weisstein (eric(AT)weisstein.com), Mar 13 2004 
               (based on information in A057704)

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