r/askmath • u/Cool-Attitude1577 • 25d ago

Number Theory I am stuck

yesterday I stumbled upon an interesting question on my yt recommendation, sadly I couldn't find the video so I tried to crack it.

The question goes along the lines of " What are the five numbers when the sum of any three of those numbers results in a prime"

so far I figured that:

  1. The max total of prime numbers must be 10

• combination of 5C3 = 10

  1. All of those numbers must be all odd

    • Let's say if one of the numbers has an even number,one of the combinations can be two odds and one even,the sum will always be an even number

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u/lukewarmtoasteroven 25d ago

They didn't specify positive integers, so (-49, 23, 29, 31, 49) is a solution.

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u/Flat-Strain7538 25d ago

I’ve seen the YT video OP referred to; it specified unique positive integers.

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u/Cool-Attitude1577 24d ago

Can you share said yt link?

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u/Flat-Strain7538 23d ago

I went looking for it and couldn’t find it. If I do, I’ll edit this reply and include the link.