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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 (list; graph; refs; listen; history; text; internal format)
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

Table of n, a(n) for n=1..8.

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

Cf. A046713, A086108.

Sequence in context: A052019 A205529 A006341 * A046713 A119835 A076609

Adjacent sequences:  A086104 A086105 A086106 * A086108 A086109 A086110

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

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Last modified September 17 06:16 EDT 2021. Contains 347478 sequences. (Running on oeis4.)