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Topic: A conjecture for sets of four primes
Replies: 12   Last Post: Oct 14, 2013 8:11 PM

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quasi

Posts: 10,312
Registered: 7/15/05
Re: A conjecture for sets of four primes
Posted: Oct 13, 2013 6:07 PM
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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.

quasi



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