Integer Sequences Avoiding Prime Pairwise Sums
Department of Mathematics
Nanjing Normal University
P. R. CHINA
The following result is proved: If
is the subset of largest cardinality such
that the sum of no two (distinct) elements of
is prime, then
and all the elements of
same parity. The following open question is posed: what is the
largest cardinality of
such that the sum of no two (distinct) elements of
contains elements of both parities?
Full version: pdf,
Received April 16 2008;
revised version received December 13 2008.
Published in Journal of Integer Sequences, December 13 2008.
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