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From: TPiezas on 27 Jun 2010 18:43
Hello all,

A Haldeman-Ramanujan quintuplet {a,b,c,d,e} solves the system,

a^2+b^2+c^2+d^2+e^2 = x^2
a^4+b^4+c^4+d^4+e^4 = y^4

The smallest is,

2^2+2^2+3^2+4^2+4^2 = 7^2
2^4+2^4+3^4+4^4+4^4 = 5^4

This in fact can be given a polynomial soln. It is also possible that
a = 0, though only one is known. See June 23 updates at
http://sites.google.com/site/tpiezas/updates06.

- Titus
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