eggman
I have Yolks not Brains!
I can't see the point you are making.It's called a conjecture for a reason. No mathematician would tell you that it's true for all numbers. There is no proof for or against it.:
there you go, they bruteforced it to a few gazillion digits, and they didn't find any exceptions so far. there is no proof of this tho. apparently scientists all over the world, and atheists too, "just know" that this is true.
now you have to believe it's true, that's a little piece of science that works on faith alone.
No one 'knows' this for sure, if this happens for ALL n numbers.
There are examples where such conjectures are often proven false for a very high number.
For example take a look at Pólya conjecture :
Pólya's conjecture was disproven by C. B. Haselgrove in 1958. He showed that the conjecture has a counterexample, which he estimated to be around 1.845 × 10361.
An explicit counterexample, of n = 906,180,359 was given by R. Sherman Lehman in 1960;[3] the smallest counterexample is n = 906,150,257, found by Minoru Tanaka in 1980.
The Pólya conjecture fails to hold for most values of n in the region of 906,150,257 ≤ n ≤ 906,488,079. In this region, the Liouville function reaches a maximum value of 829 at n = 906,316,571.