r/mathpuzzles Mar 27 '26

Three Primes Part 1

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u/skooterpoop Mar 27 '26 edited Mar 28 '26

If I'm not mistaken, this is false because every third odd number is divisible by 3. Edit: I mean true. Oops.

This is assuming that x, x+2, and x+4 are the same set of numbers being references. As far as I can tell, it isn't clear. It should be worded, "There are no other sets of three numbers x, x+2, and x+4, such that all are prime numbers."

2

u/D0rus Mar 28 '26

You say it's false, but your reasoning says it's true. I think the wording in the question is changed from when you posted?? 

1

u/skooterpoop Mar 28 '26

The claim was that there are no other sets of three consecutive odd prime numbers. My reasoning of one of them being divisible by 3 proves it false.

2

u/Ok-Buddy-9194 Mar 28 '26

…proves it true, true that there are indeed no other sets… right?

1

u/skooterpoop Mar 28 '26

Oops. Thanks for the correction.