With 17, I understand that you're referring to how 299,999 is also divisible by 17. What is the 51 reference, though? I know there's 3,999,999,999,999 but that starts with a 3. Not the same at all.
prime_number_314159
Oof. The cheesies almost got me. 🟨🟨🟨🟨 🟩🟩🟩🟩 🟦🟦🟦🟪 🟦🟦🟦🟪 🟦🟦🟦🟦 🟪🟪🟪🟪
You can just bitwise AND those with ...000000001 (for however many bits are in your number). If the result is 0, then the number is even, and if it's 1, then the number is odd. This works for negative numbers because it discards the negative signing bit.
Then you should return false, unless the remainder is also greater than or equal to the twenty second root of 4194304. Note, that I've only checked up to 4194304 to make sure this works, so if you need bigger numbers, you'll have to validate on your own.
When I was in college, our sportsball team won a game against the other guy's sportsball team by not many points. Many hundreds of students started a chant going out of the sportsball arena, and four freshmen decided to light a couch on fire, apparently thinking they'd just blend in. The police were there immediately, firefighters put out the couch in a few minutes, and they all got hit with fines.
In short, I think you're exactly right, and most sportsball fans just want to be loud and drink.
The two numbers in the text aren't equal. The first is 20 billion trillion trillion, and the second is 125 times larger.
Edit: I'm bad at counting zeros, too. The first number is correct (20 decillion), and the second is wrong (2.5 undecillion)
Any reasonably powerful god could make a non-Euclidean spacetime in which the points equidistant from a central point also form 4 straight line segments of equal length that meet at right angles.
I also think the classic rock so heavy it can't be lifted fails, for the same reason that an omnipotent god could clearly commit suicide, if it wanted to (and once it did, it would no longer have the capability to perform other actions).
The omniscience thing is harder, because of things like incompleteness theorem, but I don't think I can really describe what it means to know everything in the first place. "Able to provide a true, and comprehensive answer to any question for which a true, and comprehensive answer is possible" doesn't seem to give any contradictions, but as you mention has the feel of dancing around all the hard issues.
When a monopoly is faced with a smaller, more efficient competitor, they cut prices to keep people from switching, or buy the new competitor, make themselves more efficient, and increase profits.
When Steam was faced with smaller competition that charged lower prices, they did - nothing. They're not the leader because of a trick, or clever marketing, but because they give both publishers and gamers a huge stack of things they want.
A reason is a motivation to do a thing. An excuse is a reason to do the wrong thing (though not necessarily an inherently wrong thing - just anything that the other person thinks was wrong).
This makes for way better TV than if the camera simply worked. It's a mistake that a human would probably never make, and definitely not persist in making.
That's the only way to be certain you won't be jumped end passant.
Trump was pretty ineffective in his first term, largely because he did a terrible job of supporting people who really agreed with his agenda, and an even worse job of removing people from influential positions who didn't.
He said during his campaign that he knew much better who to trust, but now he's got Elon Musk and RFK Jr. prominently featured. I don't think he has learned anything, and I think he will be just as ineffective this time.
It's possible that some of the Republicans in Congress will support more of his agenda, but even there if they have to overcome the filibuster, I don't think mass deportation, a federal abortion ban, or most of the rest of the potential worst of it is in the cards.