if u have 3 primes: x,y,z
then prove its sum m=x+y+z is unique ? Thank you
As stated it is a none question: given any three numbers there is a unique number that is their sum.
Oh I stated probme incorectly,
let x,y,z be primes, m=x+y+z
Can u find other three primes that can sum to get m ? m can be any number.
Of course you can. You should try it. It's possible to find infinitely many counter examples, and there is a number less than 20 that is the sum of two primes in two different ways.
Yes, but the question concerns three primes!
So add the same prime to both pairs.
Of course. Nevermind!
I think that by other you have to find three totally different primes.
This too is easy 3+13+31 = 7+11+29. Again, using 3 and 7, and two sets of twin primes. there are infinitely many examples assuming that their are infinitely many pairs of twin primes.
If so, I think I can't go on solvin this problme
Clearly a simple sum repeated day after day, trying to complicate the main porblme :rofl:
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