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Search: id:A086107
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| A086107 |
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Prime members of A086108: Prime numbers which have the additional property that all symmetric polynomials of their digits are also prime numbers. |
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+0 2
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OFFSET
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1,1
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COMMENT
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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
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LINKS
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Eric Weisstein's World of Mathematics, SymmetricPolynomial
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EXAMPLE
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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.
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CROSSREFS
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Cf. A046713, A086108.
Sequence in context: A029977 A052019 A006341 this_sequence A046713 A119835 A076609
Adjacent sequences: A086104 A086105 A086106 this_sequence A086108 A086109 A086110
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KEYWORD
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nonn,base,fini,full
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Jul 10 2003
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EXTENSIONS
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Edited by Adam M. Kalman (mocha(AT)clarityconnect.com), Nov 18 2004
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