Ludovicus wrote: >Ludovicus escribió: >> >> "Any square of an even number >=8 can be decomposed as the >> sums of 4 odd prime numbers. The sum of the squares of one >> of the sets is another square." > >> The first part is based in Goldbach's Conjecture. The >> second I suppose is a new conjecture. > >The condition of the even to be an square it is because to be >even is not sufficient.
For sufficiently large even numbers, say greater than 4000, it probably _is_ sufficient.