

Thanks to EU, you’ll be able to contact these people on WhatsApp without using WhatsApp.
Thanks to EU, you’ll be able to contact these people on WhatsApp without using WhatsApp.
Never buying HP printers again, not after I got a Brother one last year. It works OOTB even with linux and there’s no such lockdown bullshit.
I had done the same. Was on DDG for around 2 years but shifted to Brave search recently. Results are almost on par with DDG I’d say but the main highlight for me is their AI summarizer. Pretty accurate and often I don’t even have to visit any website. Also like their discussions tab.
As you said, we have infinite numbers so the fact that something works till 4x10^18 doesn’t prove that it will work for all numbers. It will take only one counterexample to disprove this conjecture, even if it is found at 10^100. Because then we wouldn’t be able to say that “all” even numbers > 2 are a sum of 2 prime numbers.
So mathematicians strive for general proofs. You start with something like: Let n be any even number > 2. Now using the known axioms of mathematics, you need to prove that for every n, there always exists two prime numbers p,q such that n=p+q.
Would recommend watching the following short and simple video on the Pythagoras theorem, it’d make it perfectly clear how proofs work in mathematics. You know the theorem right? For any right angled triangle, the square of the hypotenuse is equal to the sum of squares of both the sides. Now we can verify this for billions of different right angled triangles but it wouldn’t make it a theorem. It is a theorem because we have proved it mathematically for the general case using other known axioms of mathematics.
Goldbach’s Conjecture: Every even natural number > 2 is a sum of 2 prime numbers. Eg: 8=5+3, 20=13+7.
https://en.m.wikipedia.org/wiki/Goldbach’s_conjecture
Such a simple construct right? Notice the word “conjecture”. The above has been verified till 4x10^18 numbers BUT no one has been able to prove it mathematically till date! It’s one of the best known unsolved problems in mathematics.
Hardware companies trying to copy the software companies with a subscription model really sucks. What’s next? Intel charging a monthly fee to unlock 5 GHz boost? Nvidia charging a monthly fee if you want to do anything AI-related with their GPUs? Samsung and LG charging a monthly fee if you want to use a TV or a monitor for more than 2 hours a day? Greed knows no bounds.
Does my PC with GTX 1660 count lol? No fancy ray tracing, no DLSS, no 4k, simple 1080p 60 fps gaming.