Venn 5 sequence set

hv at hv at
Wed Apr 19 21:36:43 CEST 2006

Ed Pegg Jr <edp at> wrote:
:Primes and Fibonacci numbers are Venn-2. 
:That is, there are numbers which are (!=not)
:P&F, !P&F, P&!F, !P&!F
:All 2^2 possibilities are represented.
:Is there a set of Venn-5 sequences, such that numbers exist for
:all 2^5 combinations?

Off the top of my head, I think that { n^2, n^3, n^5, n^7, n^11 }
would qualify.


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