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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
2, 3, 5, 7, 113, 131, 151, 311
OFFSET
1,1
COMMENTS
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
LINKS
Eric Weisstein's World of Mathematics, Symmetric Polynomial
EXAMPLE
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.
CROSSREFS
Sequence in context: A052019 A205529 A006341 * A046713 A119835 A076609
KEYWORD
nonn,base,fini,full
AUTHOR
Zak Seidov, Jul 10 2003
EXTENSIONS
Edited by Adam M. Kalman (mocha(AT)clarityconnect.com), Nov 18 2004
STATUS
approved