Maybe the host is busy, or the connection attempt timeouted, or the host is firewalled and you are firewalled too, or the host does not respond to requests on the advertised port, or a PUSH attempt failed, - there are many possible explanations.

The number of connections really doesn't have much to do with the number of searches or downloads.

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Morgens ess ich Cornflakes und abends ess ich Brot
Und wenn ich lang genug gelebt hab, dann sterb ich und bin tot

--Fischmob