How they found the World's Biggest Prime Number - Numberphile

2^2-1=3 is prime, the first position is 1, 4 is not a multiple of 3

What's the big deal? There is another prime number a million times longer than that one.

Now we have a bigger prime number 2^282,589,933 − 1

Also something about primes: I wonder if, for any prime P, 2^P -1 is a prime or not? For example, for P = 3, a prime number, 2^3 - 1 = 8 - 1 = 7, which is also prime, but if P = 4, NOT a prime, 2^4 - 1 = 16 - 1 = 15, which is also NOT a prime.

I would think the first check is: does it end in 0, 2, 4, 5, 6, or 8. If so, not prime.
Of course that is for polydigit numbers.

I'm wondering... what is the carbon footprint of this number in terms of the amount of energy supplied to the computers used for calculations?

When you're working with numbers 𝘵𝘩𝘢𝘵 big, you must have to start reading them right to left.

As of May 2023, the largest prime number now is 2^82,589,933 - 1

update: the largest prime was raised, to 2^(82,589,933 − 1), actually this year interestingly enough

So, is one prime?

I really wish he open/read the book 😢

Spoiler: 5 is prime! 😂

are there any new large primes found since this video?

Primes like other numbers don't 'exist in the world''. They are abstractions. In this sense, mathematicians haven't found the number 2 yet. And they never will.

Just read the first volume, it was heartbreaking😢😢😢 best book.

Are there infinite perfect numbers?

Fabulous Presentation!
What is the largest Prime Number where EVERY Prime number less than that Prime Number it is known (no skipped Prime Numbers)?

Aapka mobile number bhaiya

I discovered the next prime. But I couldn't be bothered to say what it is.

So is 3=2^2-1 a prime ? According to Lucas-Lehmer test, It is not since 4=1(mod 3) !

Do they have that big prime number available to download as a text file?

I thought, that 2^(2^(2^x-1)-1)-1 is always a prime as long as x>1?
E.g. for x=2 it is 127, for x=3 it is 170141183460469231731687303715884105727 etc...

I think I came across a formula recently by Euler for the nth prime. Did I read that right? Does such a formula exist?

What does this "Mod" phrase I keep hearing about mean?

Uh

I love to look at those prime numbers too. I had a spreadsheet I worked out with sieve. It grew so large I could hit the send button and go in and pour myself a cup of coffee shuffle on back onto the computer sit down drink part of the coffee and wait. If I had set things up right it would tell me if the number I was testing was prime. If I had not set things up right it would say circular reference. What a huge circle to be a circular reference

how many known primes do we know 2446??? or more

Dear Europe. Please use commas in numbers.

This video is a classic parker square moment.

2022 - they found 3 higher ones over the next 3 years until December 2018 and since then, nothing! Almost 4 years later (assuming Wikipedia is up to date).

Matt: ”Well, it’s a computer. It’s got no
emotions.”
Bender: ”That’s discrimination 😡!”

I was once told of another way to check if a number was prime. Square it and subtract one, and if it is divisible by 24 it is prime. e.g. 5 squared = 25. 25-1 = 24 /24 = 1 7 squared= 49. 49 - 1 = 48 not sure if it will be completely bulletproof tho

How did you get 4870???

The 0th lucas number: sqrt of 6

What is the software to calculate massive numbers?

Every prime number satisfy:. *****[(n-2)!-1]÷n=whole number***
Where:
n is prime number

Every prime number satisfy:. *****[(n-2)!-1]÷n=whole number***
Where:
n is prime number

Every prime number satisfy:. *****[(n-2)!-1]÷n=whole number***
Where:
n is prime number

and then you try to do that with 2^(that number)-1

Awesome!!! Thanks for the magic!

Just wondering, does the largest prime number have a prime number of digits? If not, what is the largest known prime that has a prime number of digits?

Bitcoin mining, no how about Biggest Prime number Finding

prove it

With a, b, n being natural numbers and a>b, we have
1. If (a^n-b^n)/(a-b) is prime, then n is prime.
2. If n is odd and (a^n+b^n)/(a+b) is prime, then n is prime.

What about an AI that can solve the pattern of primes or so and determine every prime in constant computing time

7 is one!

Frank Nelson Cole was the guy who factored (2^67 - 1) as 193,707,721 × 761,838,257,287. It only took him 3 years of Sundays.