- #1

- 9

- 0

if u have 3 primes: x,y,z

then prove its sum m=x+y+z is unique ? Thank you

then prove its sum m=x+y+z is unique ? Thank you

You should upgrade or use an alternative browser.

- Thread starter Mollet1955
- Start date

- #1

- 9

- 0

if u have 3 primes: x,y,z

then prove its sum m=x+y+z is unique ? Thank you

then prove its sum m=x+y+z is unique ? Thank you

- #2

matt grime

Science Advisor

Homework Helper

- 9,395

- 4

As stated it is a none question: given any three numbers there is a unique number that is their sum.

- #3

- 9

- 0

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

Science Advisor

Homework Helper

- 9,395

- 4

- #5

Tide

Science Advisor

Homework Helper

- 3,076

- 0

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

- #6

shmoe

Science Advisor

Homework Helper

- 1,992

- 1

Tide said:Yes, but the question concernsthreeprimes!

So add the same prime to both pairs.

- #7

Tide

Science Advisor

Homework Helper

- 3,076

- 0

shmoe said:So add the same prime to both pairs.

Of course. Nevermind!

- #8

- 841

- 0

I think that by other you have to find three totally different primes.Mollet1955 said:

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.

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

- 9

- 0

Clearly a simple sum repeated day after day, trying to complicate the main porblme :rofl:

Share: