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A086107 Prime members of A086108: Prime numbers which have the additional property that all symmetric polynomials of their digits are also prime numbers. 1

%I

%S 2,3,5,7,113,131,151,311

%N Prime members of A086108: Prime numbers which have the additional property that all symmetric polynomials of their digits are also prime numbers.

%C 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 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/SymmetricPolynomial.html">Symmetric Polynomial</a>

%e 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 Cf. A046713, A086108.

%K nonn,base,fini,full

%O 1,1

%A _Zak Seidov_, Jul 10 2003

%E Edited by Adam M. Kalman (mocha(AT)clarityconnect.com), Nov 18 2004

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Last modified October 25 21:15 EDT 2021. Contains 348256 sequences. (Running on oeis4.)