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

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

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