i know this probably isnt a sufficient proof, but (2^n)(2^n) - 1 is always divisible by 3
and kadath, here u go:
[img]http://groups.msn.com/_Secure/0SgAAAKQWfl2Jq7ic8vj!w0HN!*LKCR1J77UA7yPkM6E2xDSO2XnDGh!IZU!kAl08E2Ho3jzYK0jfJtYs*UYL4gBoVFZwHd8MFwuNpItlR*rV!W*1Q9euKg/trinome.JPG?dc=4675464204921035879[/img]
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