Search: id:A086107
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%I A086107
%S A086107 2,3,5,7,113,131,151,311
%N A086107 Prime members of A086108: Prime numbers which have the additional property 
               that all symmetric polynomials of their digits are also prime numbers.
%C A086107 This sequence is finite and all members are listed here. For a proof, 
               see comments for A086108. - Adam M. Kalman (mocha(AT)clarityconnect.com), 
               Nov 18 2004
%H A086107 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               SymmetricPolynomial.html">SymmetricPolynomial</a>
%e A086107 151 is in the sequence because it is prime and all symmetric polynomials 
               of the set {1,5,1} (i.e. 1+5+1=7, 1*5+5*1+1*1=11 and 1*5*1=5) are 
               all prime.
%Y A086107 Cf. A046713, A086108.
%Y A086107 Sequence in context: A029977 A052019 A006341 this_sequence A046713 A119835 
               A076609
%Y A086107 Adjacent sequences: A086104 A086105 A086106 this_sequence A086108 A086109 
               A086110
%K A086107 nonn,base,fini,full
%O A086107 1,1
%A A086107 Zak Seidov (zakseidov(AT)yahoo.com), Jul 10 2003
%E A086107 Edited by Adam M. Kalman (mocha(AT)clarityconnect.com), Nov 18 2004

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