Sum is unique?

  • Thread starter Mollet1955
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  • #1
if u have 3 primes: x,y,z
then prove its sum m=x+y+z is unique ? Thank you
 

Answers and Replies

  • #2
matt grime
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As stated it is a none question: given any three numbers there is a unique number that is their sum.
 
  • #3
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.
 
  • #4
matt grime
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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.
 
  • #5
Tide
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matt grime said:
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! :smile:
 
  • #6
shmoe
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Tide said:
Yes, but the question concerns three primes! :smile:

So add the same prime to both pairs.
 
  • #7
Tide
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shmoe said:
So add the same prime to both pairs.

Of course. Nevermind! :blushing:
 
  • #8
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Mollet1955 said:
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.
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.
 
  • #9
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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